Calixir v0.1.7 Calixir View Source
Documentation for Calixir.
This module contains all the translated functions of
calendrica-4.0.cl ordered as presented in DR4.
Some functions are not needed for calendar conversions, thus they have been omitted.
Link to this section Summary
Functions
Aberration at moment tee.
DR4 223 (14.35), aberration
lines 4112-4120 of calendrica-4.0.cl
Acre. DR4 204 (14.5), acre
Moment(s) of season in Gregorian year g_year per R. Adda bar Ahava.
DR4 133 (8.41), adda-season-in-gregorian
Advent DR4 70 (2.42), advent
The n-th name of the AkanDayName cycle.
DR4 38 (1.76), akan-day-name
Number of names from AkanDayName name a_name1 to the
next occurrence of AkanDayName name a_name2.
DR4 38 (1.77), akan-name-difference
AkanDayName Epoch. DR4 38 (1.78), akan-day-name-epoch
AkanDayName name for fixed date.
DR4 38 (1.79), akan-name-from-fixed
Fixed date of latest date on or before fixed date
that has AkanDayName name.
DR4 38 (1.80), akan-day-name-on-or-before
Standard time of asr on fixed date at location.
According to Shafi'i rule.
Returns bogus is no asr occurs.
DR4 249 (14.94), alt-asr
List of fixed date of Birkath ha-Hama in Gregorian year g_year.
DR4 132 (8.40), alt-birkath-ha-hama
Returns the fixed_date corresponding to the Egyptian date.
(Alternate calculation)
DR4 31 (1.48), alt-fixed-from-egyptian
Fixed date equivalent to Observational Hebrew i_date.
Months are never longer than 30 days.
DR4 299 (18.27), alt-fixed-from-observational-hebrew
Fixed date equivalent to Observational Islamic i_date.
Months are never longer than 30 days.
DR4 295 (18.15), alt-fixed-from-observational-islamic
Astronomical sunrise at Hindu location on date, per Lahiri,
rounded to nearest minute, as a rational number.
DR4 357 (20.39), alt-hindu-sunrise
Observational Hebrew date {year, month, day} corresponding to fixed date.
Months are never longer than 30 days.
DR4 299 (18.26), alt-observational-hebrew-from-fixed
Observational Islamic date {year, month, day} corresponding to fixed date.
Months are never longer than 30 days.
DR4 295 (18.16), alt-observational-islamic-from-fixed
Returns the Fixed date Gregorian g_year of Orthodox Easter.
DR4 146 (9.2), alt-orthodox-easter
Returns the adjusted modulus of x and y.
DR4 22 (1.28)
Convert angle d degrees, m arcminutes, s arcseconds
into decimal degrees.
Alternate Variant!
DR4 29 (1.45)
Convert a number of degrees into a list of degrees. DR4 29 (1.45)
Sundial time from local time t_local at location.
DR4 217 (14.21), apparent-from-local
True (apparent) time at universal time tee at location.
DR4 218 (14.23), apparent-from-universal
Moment in local time near tee when depression angle of sun is
alpha (negative if above horizon) at location;
early? is true when morning event is sought and false for evening.
Returns bogus if depression angle is not reached.
DR4 240 (14.68), approx-moment-of-depression
Angular separation of sun and moon at moment tee.
DR4 250 (14.95), arc-of-light
Angular difference in altitudes of sun and moon
at moment tee at location.
DR4 251 (14.98), arc-of-vision
Arccosine of x in degrees.
x arcminutes. DR4 mins (!)
x arcseconds. DR4 secs (!)
Arcsine of x in degrees.
Arctangent of y/x in degrees.
Returns bogus if x and y are both 0.
see lines 3462-3476 of calendrica-4.0.cl
DR4 205 (14.7) arctan
Arithmetic French Revolutionary date corresponding to the fixed date.
DR4 285 (17.10), arithmetic-french-from-fixed
True if year is a leap year on the Arithmetic French Revolutionary calendar.
DR4 285 (17.8), arithmetic-french-leap-year?
Persian date corresponding to fixed date.
DR4 263 (15.10), arithmetic-persian-from-fixed
True if p_year is a leap year on the Persian calendar.
DR4 262 (15.7), arithmetic-persian-leap-year?
Persian year corresponding to the fixed date.
DR4 263 (15.9), arithmetic-persian-year-from-fixed
Armenian Epoch. DR4 31 (1.50), armenian-epoch
Returns the Armenian date {year, month, day} corresponding to fixed_date.
DR4 31 (1.52), armenian-from-fixed
Number of days in one revolution of Jupiter around the Sun. DR4 157 (10.4), arya-jovian-period
Length of Old Hindu lunar day. DR4 160 (10.10), arya-lunar-day
Length of Old Hindu lunar month. = 29.53058181... days DR4 160 (10.9), arya-lunar-month
Length of Old Hindu solar month. DR4 158 (10.6), arya-solar-month
Length of Old Hindu solar year. DR4 157 (10.3), arya-solar-year
Standard time of asr on fixed date at location.
According to Hanafi rule.
Returns bogus is no asr occurs.
DR4 249 (14.93), asr
Bahai date corresponding to fixed date.
DR4 275 (16.9), astro-bahai-from-fixed
Fixed date of Astronomical Bahai New Year on or before fixed date.
DR4 274 (16.7), astro-bahai-new-year-on-or-before
Astronomical Hindu solar year KY at given moment tee.
DR4 360 (20.44), astro-hindu-calendar-year
Astronomical Hindu lunar date equivalent to fixed date.
DR4 361 (20.48), astro-hindu-lunar-from-fixed
Astronomical Hindu (Tamil) solar date equivalent to fixed date.
DR4 360 (20.45), astro-hindu-solar-from-fixed
Geometrical sunset at Hindu location on fixed.
DR4 360 (20.42), astro-hindu-sunset
Phase of moon (tithi) at moment tee, as an integer in the range 1..30.
DR4 361 (20.47), astro-lunar-day-from-moment
Date of (proposed) astronomical Easter in Gregorian year g_year.
Return the Sunday following the Paschal moon.
DR4 292 (18.9), astronomical-easter
Difference between tropical and sidereal solar longitude. DR4 359 (20.40), ayanamsha
DR4 271 (16.1)
The precise correlation between Aztec dates and our R.D. dates is based on the recorded Aztec Dates of the fall of (what later became) Mexico City to Mermán Cortés, August 13, 1521 (Julian). Known date of Aztec cycles (Caso's correlation) August, 13, 1521 (Julian) DR4 177 (11.14), aztec-correlation
Start of a tonalpohualli cycle. = R.D. 555299 DR4 179 (11.20), aztec-tonalpohualli-correlation
Aztec tonalpohualli date of fixed date.
DR4 179 (11.21), aztec-tonalpohualli-from-fixed
Fixed date of latest date on or before fixed date
that is Aztec tonalpohualli date tonalpohualli.
DR4 180 (11.22), aztec-tonalpohualli-on-or-before
Number of days into Aztec tonalpohualli cycle of t_date.
DR4 179 (11.19), aztec-tonalpohualli-ordinal
(Error in book: name and number are interchanged!)
Start of a xihuitl cycle. DR4 178 (11.16), aztec-xihuitl-correlation
AztecXihuitl Epoch. = aztec_xihuitl_correlation (not DR4)
Aztec xihuitl date of fixed date.
DR4 178 (11.17), aztec-xihuitl-from-fixed
Fixed date of latest date on or before fixed date
that is Aztec xihuitl date xihuitl.
DR4 179 (11.18), aztec-xihuitl-on-or-before
Number of elapsed days into cycle of Aztec xihuitl x_date.
DR4 178 (11.15), aztec-xihuitl-ordinal
Designation of year containing fixed date.
Returns bogus for nemontemi.
DR4 180 (11.23), aztec-xiuhmolpilli-from-fixed
Fixed date of latest xihuitl_tonalpohualli combination on or before fixed.
That is the date on or before fixed that is Aztec xihuitl date xihuitl
and tonalpohualli date tonalpohualli.
Returns bogus for impossible combinations.
DR4 180 (11.24), aztec-xihuitl-tonalpohualli-on-or-before
Location of Babylon. DR4 290 (18.2), 409, babylon
Moonlag criterion for visibility of crescent moon on eve of fixed in Babylon.
DR4 290 (18.3), babylonian-criterion
Babylonian Epoch. Epoch is the fixed date of start of the Babylonian calendar (Seleucid era): April 3, 311 BCE (Julian). DR4 291 (18.5), babylonian-epoch
Babylonian date corresponding to fixed date.
DR4 291 (18.8), babylonian-from-fixed
Returns true if the given year is a leap year. DR4 291 (18.6), babylonian-leap-year?
Fixed date of start of Babylonian month on or before Babylonian fixed.
Using lag of moonset criterion.
DR4 290 (18.4), babylonian-new-month-on-or-before
Bahai Epoch.
... we just number the years, ..., and choose as epoch the traditional
year of ascension of the first Yarlun King, Nyatri Tsenpo.
= fixed-from-julian(ce(622), march, 19)
DR4 271 (16.2), bahai-epoch
Bahai date corresponding to fixed date.
DR4 272 (16.4), bahai-from-fixed
Bahai location. DR4 274 (16.5), bahai-location
Bahai New Year. DR4 277 (16.10), bahai-new-year
DR4 274 (16.6), bahai-sunset
Position of fixed in 8-day Balinese cycle.
DR4 188 (12.13), bali-asatawara-from-fixed
Position of fixed in 4-day Balinese cycle.
DR4 189 (12.14), bali-caturwara-from-fixed
Position of date in 10-day Balinese cycle.
DR4 188 (12.9), bali-dasawara-from-fixed
Position of fixed in 210-day Pawukon cycle.
DR4 187 (12.3), bali-day-from-fixed
Position of fixed in 2-day Balinese cycle.
DR4 188 (12.10), bali-dwiwara-from-fixed
Membership of fixed in "1-day" Balinese cycle.
DR4 188 (12.11), bali-luang-from-fixed
Last fixed date on or before date with Pawukon b_date.
DR4 189 (12.15), bali-on-or-before
Position of fixed in 5-day Balinese cycle.
DR4 187 (12.7), bali-pancawara-from-fixed
BaliPawukon Epoch.
= fixed_from_jd(146)
DR4 187 (12.2), bali-epoch
Positions of fixed in ten cycles of Balinese Pawukon calendar.
DR4 185 (12.1), bali-pawukon-from-fixed
Position of fixed in 6-day Balinese cycle.
DR4 187 (12.5), bali-sadwara-from-fixed
Position of date in 9-day Balinese cycle.
DR4 188 (12.12), bali-sangawara-from-fixed
Position of fixed in Balinese week.
DR4 187 (12.6), bali-saptawara-from-fixed
Position of fixed in 3-day Balinese cycle.
DR4 187 (12.4), bali-triwara-from-fixed
Week number of date in Balinese cycle.
DR4 187 (12.8), bali-week-from-fixed
Returns a negative value indicating a BCE Julian year.
Bisection search for x in [lo..hi] such that condition e holds.
p determines when to go left.
lines 653-663 of calendrica-4.0.cl
DR4 24 (1.35), binary-search
List of fixed date of Birkath ha-Hama occurring in Gregorian year g_year.
DR4 131 (8.38), birkath-ha-hama
Date of Bahai New Year in Gregorian year g_year.
DR4 278 (16.13), birth-of-the-bab
List of the fixed dates of Hebrew birthday in Gregorian g_year.
DR4 135 (8.45), hebrew-birthday-in-gregorian
Lichun occurs once at the end. DR4 325 (19.32), blind
Used to denote nonexistent dates. DR4 47 (1.97), bogus
Lichun occurs once at the start. DR4 325 (19.31), bright
Best viewing time (UT) in the evening. Yallop version, per Bruin (1977). DR4 251 (14.99), bruin-best-view
Returns a positive value indicating a CE Julian year.
Convert x days into a fraction of a century.
(not DR4)
DR4 243 (14.79)
Age at fixed date, given Chinese birthdate, according to the
Chinese custom. Returns bogus if fixed is before birthdate.
DR4 325 (19.29), chinese-age
Chinese sexagesimal name for fixed date.
DR4 320 (19.24), chinese-day-name
RD date of a start of Chinese sexagesimal day cycle. DR4 320 (19.23), chinese-day-name-epoch
Fixed date of latest date on or before fixed date
that has Chinese name.
DR4 320 (19.25), chinese-day-name-on-or-before
Chinese Epoch. = March 8, 2637 BCE (Julian) = February 15, -2636 (Gregorian) DR4 316 (19.15), chinese_epoch
Chinese date (cycle year month leap day) of fixed date.
ordinal position of month in year minus 1 during or after a leap month
DR4 317 (19.16), chinese-from-fixed
Location of Beijing; time zone varies with tee.
DR4 306 (19.2), chinese-location
Sexagesimal name for month month of Chinese year year.
DR4 320 (19.22), chinese-month-name
Elapsed months at start of Chinese sexagesimal month cycle. DR4 320 (19.21), chinese-month-name-epoch
Number of names from Chinese name c_name1 to the
next occurrence of Chinese name c_name2.
DR4 319 (19.19), chinese-name-difference
Fixed date (Beijing) of first new moon before fixed date.
DR4 310 (19.10), chinese-new-moon-before
Fixed date (Beijing) of first new moon on or after fixed date.
DR4 309 (19.9), chinese-new-moon-on-or-after
Fixed date of Chinese New Year in Gregorian year g_year.
DR4 322 (19.26), chinese-new-year
Fixed date of Chinese New Year in sui (period from solstice to solstice)
containing date.
DR4 315 (19.13), chinese-new-year-in-sui
Fixed date of Chinese New Year on or before fixed date.
Got the New Year after--this happens if date is after the solstice
but before the new year. So, go back half a year.
DR4 316 (19.14), chinese-new-year-on-or-before
True if Chinese lunar month starting on fixed date
has no major solar term.
DR4 313 (19.11), chinese-no-major-solar-term?
True if there is a Chinese leap month on or after lunar month starting
on fixed day m_prime and at or before lunar month starting at fixed
date m.
DR4 313 (19.12), chinese-prior-leap-month?
The n-th name of the Chinese sexagesimal cycle.
DR4 319 (19.18), chinese-sexagesimal-name
Moment (Beijing time) of the first time at or after tee (Beijing
time) when the solar longitude will be lambda degrees.
DR4 308 (19.3), chinese-solar-longitude-on-or-after
Fixed date, in the Chinese zone, of winter solstice
on or before fixed date.
DR4 309 (19.8), chinese-winter-solstice-on-or-before
The marriage augury type of Chinese year in cycle.
DR4 325 (19.34), chinese-year-marriage-augury
Sexagesimal name for Chinese year of any cycle.
DR4 320 (19.20), chinese-year-name
Christmas DR4 70 (2.41), christmas
Fixed date of Classical (observational) Passover Eve (Nisan 14) occurring
in Gregorian year g_year.
DR4 298 (18.25), classical-passover-eve
Clock time hour:minute:second from moment tee.
DR4 28 (1.44), clock-from-moment
Coptic Christmas. DR4 93 (4.9), coptic-christmas
Coptic Epoch.
= fixed-from-julian(ce(284), august, 29)
DR4 90 (4.1), coptic-epoch
Returns the Coptic date {year, month, day} corresponding to fixed_date.
DR4 91 (4.4), coptic-from-fixed
Returns the list of the fixed dates of Coptic month c_month and
Coptic day c_day that occur in Gregorian year g_year.
DR4 92 (4.8), coptic-in-gregorian
Returns true if the given year is a leap year. DR4 90 (4.2), coptic-leap-year?
Cosine of theta (given in degrees).
Last Chinese major solar term (zhongqi) before fixed date.
DR4 306 (19.1), current-major-solar-term
Last Chinese minor solar term (jieqi) before fixed date.
DR4 308 (19.5), current-minor-solar-term
Returns the occurrences of seasons in g_year with year_length.
DR4 83 (3.22), cycle-in-gregorian
Convert moment into complete Gregorian DateTime
{year, month, day, hour, minute, second}.
Standard time in morning on fixed date at location
when depression angle of sun is alpha.
Returns bogus if there is no dawn on date.
See DR4 244 for various depression angles.
DR4 241 (14.72), dawn
Returns the ordinal day number of the Gregorian date date.
DR4 62 (2.25), day-number
Returns the weekday of fixed.
DR4 33 (1.60)
U.S. Daylight Saving End (as of 2007, the second Sunday in March and the first Sunday in November) DR4 70 (2.40), daylight-saving-end
U.S. Daylight Saving Start DR4 70 (2.39), daylight-saving-start
Number of days in Hebrew year h_year.
DR4 123 (8.26), days-in-hebrew-year
Returns the number of days remaining in the Gregorian year after the date date.
DR4 62 (2.26), days-remaining
Length of daytime temporal hour on fixed date at location.
Returns bogus if there no sunrise or sunset on date.
DR4 247 (14.89), daytime-temporal-hour
Declination at moment UT tee of object at
latitude beta and longitude lambda.
DR4 220 (14.29), declination
lines 3630-3639 of calendrica-4.0.cl
x degrees. For typesetting purposes.
Convert angle from radians to degrees.
Angle (clockwise from North) to face focus when standing in location.
DR4 205 (14.6), direction
List of fixed date(s) of Diwali in Gregorian year g_year.
DR4 368 (20.57), diwali
Lichun occurs twice (double_happiness). DR4 325 (19.30), double-bright
Fixed date of the Dragon Festival occurring in
Gregorian year g_year.
DR4 324 (19.27), dragon-festival
Standard time in evening on fixed date at location
when depression angle of sun is alpha.
Returns bogus if there is no dusk on date.
DR4 242 (14.74), dusk
Dynamical time at Universal moment t_universal.
DR4 212 (14.16), dynamical-from-universal
fixed in location is in a month that was forced to start early.
DR4 294 (18.14), early-month?
Returns the fixed date of Christian Gregorian date of easter. DR4 148 (9.3), easter
DR4 85 (3.25), eastern-orthodox-christmas
Epyptian Epoch.
Returns the Egyptian date {year, month, day} corresponding to fixed_date.
DR4 31 (1.49), egyptian-from-fixed
U.S. Election Day DR4 70 (2.38), election-day
Dynamical Time minus Universal Time (in days) for moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus, Willmann-Bell
(1991) for years 1600-1986 and from polynomials on the NASA Eclipse
web site for other years.
DR4 210 (14.15), ephemeris-correction
Epiphany DR4 71 (2.43), epiphany
Equation of time (as fraction of day) for moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, p. 185.
lines 4017-4046 of calendrica-4.0.cl
DR4 215 (14.20), equation-of-time
Approximate moment at or before tee when solar longitude
just exceeded lambda degrees.
DR4 226 (14.42), estimate-prior-solar-longitude
Ethiopic Epoch. = August 29, 8 CE (Julian) DR4 92 (4.5), ethiopic-epoch
Returns the Ethiopic date {year, month, day} corresponding to fixed.
DR4 92 (4.7), ethiopic-from-fixed
Signifies evening. DR4 241 (14.73), evening
DR4 277 (16.12), feast-of-ridvan
Returns the last integer greater or equal to initial index, i
such that condition p holds.
DR4 24 (1.33), MAX
Returns the Fixed date of the first k-day after a given Gregorian date date.
DR4 69 (2.34), first-kday
Fixed date of Arithmetic French Revolutionary fixed date.
DR4 285 (17.9), fixed-from-arithmetic-french
Fixed date equivalent to Persian date p_date.
DR4 262 (15.8), fixed-from-arithmetic-persian
Returns the fixed date corresponding to the Armenian date.
DR4 31 (1.51), fixed-from-armenian
Fixed date equivalent to Bahai date. DR4 275 (16.8), fixed-from-astro-bahai
Fixed date corresponding to Hindu lunar date l_date.
DR4 361 (20.49), fixed-from-astro-hindu-lunar
Fixed date corresponding to Astronomical Hindu solar date (Tamil rule; Saka era). DR4 360 (20.46), fixed-from-astro-hindu-solar
Fixed date of Babylonian date. DR4 291 (18.7), fixed-from-babylonian
Fixed date of Astronomical Bahai date. DR4 271 (16.3), fixed-from-bahai
Fixed date of Chinese date c_date.
otherwise, there was a prior leap month that
year, so we want the next month
DR4 318 (19.17), fixed-from-chinese
Returns the fixed_date corresponding to the Coptic date.
DR4 90 (4.3), fixed-from-coptic
Returns the fixed date corresponding to the Egyptian date.
DR4 30 (1.47), fixed-from-egyptian
Returns the Fixed date corresponding to the Ethiopic date. DR4 92 (4.6), fixed-from-ethiopic
Fixed date of French Revolutionary date. DR4 284 (17.5), fixed-from-french
Returns the fixed date corresponding to the Gregorian date.
DR4 60 (2.17), fixed-from-gregorian
Returns the Fixed date corresponding to the Hebrew date {year, month, day}.
DR4 123 (8.27), fixed-from-hebrew
Fixed date equivalent to Hindu lunar l_date in full_moon scheme.
DR4 356 (20.37), fixed-from-hindu-fullmoon
Fixed date corresponding to Hindu lunar date l_date.
DR4 350 (20.24), fixed-from-hindu-lunar
Fixed date corresponding to Hindu solar date s_date
(Saka era; Orissa rule.)
Search forward to correct month
DR4 348 (20.21), fixed-from-hindu-solar
Returns the Fixed date corresponding to the Icelandic date {year, season, week, weekday}.
DR4 100 (6.4), fixed-from-icelandic
Returns the Fixed date corresponding to the Islamic date {year, month, day}.
DR4 107 (7.3), fixed-from-islamic
Returns the Fixed date corresponding to the ISO year, week, day date.
DR4 95 (5.1), fixed-from-iso
Returns the fixed date corresponing to moment tee.
DR4 20 (1.13), fixed-from-jd
Returns the fixed date corresponding to the date.
DR4 76 (3.3), fixed-from-julian
Fixed date corresponding to Mayan Long Count count.
DR4 171 (11.2), fixed-from-mayan-long-count
Returns the fixed date corresponding to the MJD Number mjd.
DR4 19 (1.7), fixed-from-mjd
Fixed date of the molad that occurs moon days
and fractional days into the week.
DR4 126 (8.29), fixed-from-molad
Returns the fixed date corresponing to moment tee.
DR4 20 (1.12), fixed-from-moment
Fixed date equivalent to Observational Hebrew date i_date.
DR4 298 (18.24), fixed-from-observational-hebrew
Fixed date equivalent to Observational Islamic date i_date.
DR4 293 (18.11), fixed-from-observational-islamic
Fixed date corresponding to Old Hindu lunar date l_date.
DR4 165 (10.14), fixed-from-old-hindu-lunar
Fixed date corresponding to Old Hindu solar date s_date.
DR4 158 (10.7), fixed-from-old-hindu-solar
Fixed date of Astronomical Persian date p_date.
DR4 260 (15.5), fixed-from-persian
Returns the fixed date corresponding to the Roman date.
DR4 80 (3.10), fixed-from-roman
Fixed date of Samaritan date s_date.
DR4 301 (18.34), fixed-from-samaritan
Fixed date equivalent to Saudi Islamic date i_date.
DR4 296 (18.19), fixed-from-saudi-islamic
Fixed date corresponding to Tibetan lunar date t_date.
DR4 378 (21.4), fixed-from-tibetan
French Epoch. DR4 283 (17.4), french-epoch
French Revolutionary date of fixed date.
DR4 284 (17.6), french-from-fixed
Returns true if the given year is a leap year. DR4 284 (17.7), french-leap-year?
Fixed date of French Revolutionary New Year on or before fixed date.
DR4 283 (17.3), french-new-year-on-or-before
The number corresponding to a in radix notation
with base b for whole part and c for fraction.
DR4 27 (1.41), from-radix
Greatest common denominator. DR4 21 (1.22), gcd
Greenwich. DR4 204 (14.2), greenwich
Returns the number of days between two Gregorian dates date1, date2.
DR4 62 (2.24), gregorian-date-difference
Gregorian Epoch. DR4 58 (2.3), gregorian-epoch = R.D. 1.
Returns the Gregorian date {year, month, day} corresponding to fixed_date.
DR4 62 (2.23), gregorian-from-fixed
Returns true if the given year is a leap year. DR4 59 (2.16), gregorian-leap-year?
Returns the Fixed date corresponding the January, 1st of the Gregorian year. DR4 60 (2.18), gregorian-new-year
Returns the ordinal day of fixed in its Gregorian year.
DR4 61 (2.22)
Returns the Fixed date corresponding the December, 31st of the Gregorian year. DR4 60 (2.19), gregorian-year-end
Returns the yearof the Gregorian date corresponding to the Fixed date fixed.
DR4 61 (2.21), gregorian-year-from-fixed
Returns the range of dates (= number of days) of the Gregorian year year.
DR4 60 (2.20), gregorian-year-range
Fixed date(s) of first day of Hanukkah in Gregorian year g_year.
DR4 134 (8.43), hanukkah
Fixed date of the anniversary of Hebrew birthdate in Hebrew h_year.
DR4 135 (8.44), hebrew-birthday
Returns the number of days elapsed from the (Sunday) noon prior
to the epoch of the Hebrew calendar to the mean conjunction (molad)
of Tishri of Hebrew year h_year, or one day later.
DR4 121 (8.20), hebrew-calendar-elapsed-days
Hebrew Epoch.
= (Tishri 1, 1 AM) = fixed-from-julian(bce(3761), october, 7)
DR4 119 (8.17), hebrew-epoch
Returns the Hebrew date {year, month, day} equivalent to fixed date.
DR4 123 (8.28), hebrew-from-fixed
List of the fixed dates of Hebrew month h_month, day
h_day that occur in Gregorian year g_year.
DR4 133 (8.42), hebrew-in-gregorian
Returns true if the given year is a leap year. DR4 115 (8.14), hebrew-leap-year
Take Haifa, a city at the western edge of Israel, as the location of the observation. DR4 297 (18.21), hebrew-location
Fixed date of Hebrew new year h_year.
DR4 122 (8.22), hebrew-new-year
DR4 115 (8.16), hebrew-sabbatical-year?
Delays to start of Hebrew year h_year to keep ordinary year in
range 353-356 and leap year in range 383-386.
DR4 122 (8.21), hebrew-year-length-correction
Time from apogee to apogee, with bija correction. DR4 345 (20.10), hindu-anomalistic-month
Time from aphelion to aphelion. DR4 344 (20.9), hindu-anomalistic-year
Inverse of Hindu sine function of amp.
DR4 343 (20.6), hindu-arcsin
Difference between right and oblique ascension of sun on fixed
at location.
DR4 352 (20.27), hindu-ascensional-difference
Determine solar year at given moment tee.
DR4 347 (20.18), hindu-calendar-year
Fixed date of Hindu creation. DR4 344 (20.8), hindu-creation
Sidereal daily motion of sun on fixed.
DR4 353 (20.30), hindu-daily-motion
Fixed date of occurrence of Hindu lunar l_month, l_day in Hindu
lunar year l_year, taking leap and expunged days into account.
When the month is
expunged, then the following month is used.
DR4 367 (20.55), hindu-date-occur
Elapsed days (Ahargana) to fixed since Hindu epoch (KY).
DR4 156 (10.2), hindu-day-count
The OldHindu epoch is the first day of year 0 of the Kali Yuga: = February 18, 3102 BCE (Julian) = January 23, -3101 (Gregorian) = -1132959 RD DR4 156 (10.1), hindu-epoch
Time from true to mean midnight of fixed.
(This is a gross approximation to the correct value.)
Arcsin is not needed since small
DR4 353 (20.32), hindu-equation-of-time
True of Hindu lunar month l_month in l_year is expunged.
DR4 356 (20.38), hindu-expunged?
Hindu lunar date, full_moon scheme, equivalent to fixed date.
DR4 356 (20.36), hindu-fullmoon-from-fixed
DR4 351 (20.26), hindu-location
Time lunar_day (tithi) number k begins at or after
moment tee. k can be fractional (for karanas).
DR4 365 (20.52), hindu-lunar-day-at-or-after
Phase of moon (tithi) at moment tee, as an integer in the range 1..30.
DR4 346 (20.16), hindu-lunar-day-from-moment
Years from Kali Yuga until Vikrama era. DR4 349 (20.22), hindu-lunar-era
List of fixed dates of occurrences of Hindu lunar tithi
prior to sundial time tee, in Hindu lunar l_month,
in Gregorian year g_year.
DR4 368 (20.59), hindu-lunar-event
Hindu lunar date, new_moon scheme, equivalent to fixed date.
DR4 349 (20.23), hindu-lunar-from-fixed
List of fixed dates of occurrences of Hindu lunar
month, day in Gregorian year g_year.
DR4 367 (20.56), hindu-lunar-holiday
Lunar longitude at moment tee.
DR4 346 (20.14), hindu-lunar-longitude
Fixed date of Hindu lunisolar new year in Gregorian g_year.
Next day if new moon after sunrise, unless lunar day ends
before next sunrise.
DR4 365 (20.53), hindu-lunar-new-year
True if Hindu lunar date l_date1 is on or before
Hindu lunar date l_date2.
DR4 367 (20.54), hindu-lunar-on-or-before?
Longitudinal distance between the sun and moon at moment tee.
DR4 346 (20.15), hindu-lunar-phase
Hindu lunar station (nakshatra) at sunrise on fixed.
DR4 369 (20.62), hindu-lunar-station
Position in degrees at moment tee in uniform circular orbit
of period days.
DR4 344 (20.7), hindu-mean-position
Approximate moment of last new moon preceding moment tee,
close enough to determine zodiacal sign.
DR4 346 (20.17), hindu-new-moon-before
Tabulated speed of rising of current zodiacal sign on fixed.
DR4 353 (20.31), hindu-rising-sign
Mean length of Hindu sidereal month. DR4 336 (20.2), hindu-sidereal-month
Mean length of Hindu sidereal year. DR4 336 (20.1), hindu-sidereal-year
Linear interpolation for theta in Hindu table.
DR4 342 (20.5), hindu-sine
This simulates the Hindu sine table.
entry is an angle given as a multiplier of 225'.
DR4 342 (20.4), hindu-sine-table
Years from Kali Yuga until Saka era. DR4 347 (20.19), hindu-solar-era
Hindu (Orissa) solar date equivalent to fixed date.
DR4 347 (20.20), hindu-solar-from-fixed
Solar longitude at moment tee.
DR4 345 (20.12), hindu-solar-longitude
Moment of the first time at or after tee when Hindu solar longitude
will be lambda degrees.
DR4 364 (20.50), hindu-solar-longitude-at-or-after
Difference between solar and sidereal day on fixed.
DR4 352 (20.29), hindu-solar-sidereal-difference
Hindu local time of temporal moment tee.
DR4 355 (20.35), hindu-standard-from-sundial
Sunrise at location on fixed.
DR4 354 (20.33), hindu-sunrise
Sunset at hindu_location on date.
DR4 354 (20.34), hindu-sunset
Mean time from new moon to new moon. DR4 336 (20.3), hindu-synodic-month
Fixed date of occurrence of Hindu lunar tithi prior
to sundial time tee, in Hindu lunar l_month, l_year.
DR4 368 (20.58), hindu-tithi-occur
Hindu tropical longitude on fixed date.atest
Assumes precession with maximum of 27 degrees
and period of 7200 sidereal years
(= 1577917828/600 days).
DR4 352 (20.28), hindu-tropical-longitude
Longitudinal position at moment tee.
period is period of mean motion in days.
size is ratio of radii of epicycle and deferent.
anomalistic is the period of retrograde revolution about epicycle.
change is maximum decrease in epicycle size.
DR4 345 (20.11), hindu-true-position
Zodiacal sign of the sun, as integer in range 1..12, at moment tee.
DR4 345 (20.13), hindu-zodiac
Convert x hours into a fraction of a day.
Icelandic Epoch. The Epoch of the Icelandic calendar is Thursday, April 19, in year 1 of the Gregorian calendar, the onset of Icelandic summer. = Thursday, April 19, 1 (Gregorian) DR4 100 (6.1), icelandic_epoch
Returns the Icelandic date {year, season, week, weekday} equivalent to fixed date.
DR4 101 (6.5), icelandic-from-fixed
Returns true if the given year is a leap year. Ordinary years, with 52 weeks, have 364 days; leap years have 371 years (53 weeks). DR4 101 (6.6), icelandic-leap-year
Returns the month of the season. The months of each season are numbered 1..6 and can be determined from the date by counting units of 30 days from the start of the season. DR4 101 (6.7) icelandic-month
Returns the week of the begin of the Icelandic summer. DR4 100 (6.2), icelandic-summer
Returns the week of the begin of the Icelandic winter. DR4 100 (6.3), icelandic-winter
Ides of month. DR4 77 (3.8), ides-of-month
True if tee is in half_open range.
DR4 26 (1.38), in-range?
U.S. Indepence Day DR4 69 (2.32), independence-day
Use bisection to find inverse of angular function
f at y within interval a..b.
lines 665-672 of calendrica-4.0.cl
DR4 25 (1.36), invert-angular
Islamic Epoch. The Calendar is computed, by the majority of the Muslim world, starting at sunset of Thursday, July 15, &22 C.E. (Julian), the year of Mohammad's migration to Medina from Mecca.. The introduction of the calöendar is often attrituted to the Caliph 'Umar in 639 C.E., but there is evidence that it was in use before his succession. Muslims count R.D. 227015 = Friday, July 16, 622 C.E. (Julian) as the beginning of the Islamic year 1, that is, as Muharram 1, A.H. (Anno Hegira). DR4 106 (7.1), islamic-epoch = fixed-from-julian(ce(622), july, 16)
Returns the Islamic date {year, season, week, weekday} equivalent to fixed date.
DR4 108 (7.4), islamic-from-fixed
Returns the list of the fixed dates of a Islamic date
that occur in Gregorian year g_year.
DR4 108 (7.5), islamic-in-gregorian
Returns true if the given year is a leap year. DR4 102 (7.2), islamic-leap-year
Take the Al-Azhar University, Cairo, a major Islamic religious center, as the location of the observation. DR4 293 (18.10), islamic-location
Returns the ISO date [year, week, day] equivalent to fixed date.
DR4 96 (5.2), iso-from-fixed
Returns true, if year is a long (= 53 week) year,
instead of the normal short (= 52 week) year.
DR4 97 (5.3), iso-long-year?
Italian time corresponding to local time t_local.
DR4 247 (14.88), italian-from-local
Noon at start of Gregorian year 2000 (precalculated).
= gregorian_new_year(2000) + hr(12)
DR4 212 (14.19), j2000
Location for Japanese calendar; varies with tee.
Tokyo (139 deg 46 min east) local time
DR4 326 (19.35), japanese-location
Returns the moment corresponding to the Julian Day Number 0.
JD0 = noon on Monday, January 1, 4713 B.C.E. (Julian)
Returns the Julian Day Number jd corresponding to the moment tee.
DR4 20 (1.14), jd-from-fixed
Returns the Julian Day Number jd corresponding to the moment tee.
DR4 18 (1.5), jd-from-moment
Jerusalem. DR4 204 (14.4), jerusalem
Standard time of Jewish dusk on fixed date
at location (as per Vilna Gaon).
DR4 243 (14.81), jewish-dusk
Standard time on fixed date at location of end of
morning according to Jewish ritual.
DR4 248 (14.92), jewish-morning-end
Standard time of end of Jewish sabbath on fixed date
at location (as per Berthold Cohn).
DR4 243 (14.80), jewish-sabbath-ends
Year of Jupiter cycle at fixed date.
DR4 157 (10.5), jovian-year
Julian centuries since 2000 at moment tee.
DR4 212 (14.18), julian-centuries
Julian Epoch. {:gregorian, {0, 12, 30}} DR4 76 (3.2), julian-epoch
Returns the Julian date {year, month, day} corresponding to fixed_date.
DR4 76 (3.4), julian-from-fixed
Returns the list of the fixed dates of Julian month j_month and
Julian day j_day that occur in Gregorian year g_year.
DR4 85 (3.24), julian-in-gregorian
Returns true if the given year is a leap year. DR4 75 (3.1), julian-leap-year
DR4 84 (3.23), julian-season-in-gregorian
Returns the Julian year equivalent to AUC year.
DR4 81 (3.13), julian-year-from-auc
Returns the year on the Julian calendar of the olympiad. DR4 82 (3.16), julian-year-from-olympiad
Returns the year AUC equivalent to Julian year.
DR4 81 (3.14), auc-year-from-julian
Occurrences of Kajeng Keliwon (9th day of each 15-day subcycle
of Pawukon) in Gregorian year g_year.
DR4 190 (12.16), kajeng-keliwon
Kalends, Nones, and Ides. The kalends are always the first of the month. The ides are near the middle of the month - the thirteenth of the month, ecept in March, May, July, and October, when they fall on the fifteenth... The nones are always 8 days before the ides. DR4 77
Number (0-10) of the name of the n-th (1-60) Hindu karana.
DR4 369 (20.63), karana
DR4 34 (1.68)
DR4 34 (1.67)
DR4 34 (1.66)
DR4 34 (1.65)
DR4 34 (1.62)
Location for Korean calendar; varies with tee.
Seoul city hall at a varying time zone.
local mean time for longitude 126 deg 58 min
DR4 328 (19.36), korean-location
Equivalent Korean year to Chinese cycle and year.
DR4 328 (19.37), korean-year
U.S. Labor Day DR4 69 (2.36), labor-day
Returns the last day of a Gregorian month given by date and month.
DR4 63 (2.27), last-day-of-gregorian-month
Last day of month month in Hebrew year year.
DR4 122 (8.23), last-day-of-hebrew-month
Returns the Fixed date of the last k-day before, a given Gregorian date date.
DR4 69 (2.35), last-kday
DR4 115 (8.15), last-month-of-hebrew-year
Least common multiple. DR4 21 (1.23), lcm
Convert each element of a list of moments into a fixed date. DR4 26 (1.37), list-of-fixed-from-moments
Those moments in list ell that occur in range.
DR4 26 (1.39), list-range
Local time from sundial time tee at location.
DR4 218 (14.22), local-from-apparent
Local time corresponding to Italian time tee.
DR4 247 (14.87), local-from-italian
Local time from standard t_standard at location.
DR4 208 (14.14), local-from-standard
Local time from universal t_universal at location.
DR4 208 (14.10), local-from-universal
Local time of dusk in Padua, Italy on date of moment tee.
DR4 246 (14.86), local-zero-hour
True if Marheshvan is long in Hebrew year h_year.
DR4 122 (8.24), long-marheshvan?
Fixed date of Tibetan New Year (Losar) in Tibetan year t_year.
DR4 381 (21.8), losar
Geocentric altitude of moon at tee at location, as a small
positive/negative angle in degrees, ignoring parallax and refraction.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998.
DR4 237 (14.64), lunar-altitude
Mean anomaly of moon (in degrees) at moment
given in Julian centuries c.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, p. 338.
DR4 234 (14.52), lunar-anomaly
Geocentric apparent lunar diameter of the moon (in degrees) at moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998.
DR4 252 (14.102), lunar-diameter
Distance to moon (in meters) at moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, pp. 338-342.
DR4 238 (14.65), lunar-distance
Elongation of moon (in degrees) at moment
given in Julian centuries c.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, p. 338.
DR4 234 (14.50), lunar-elongation
Latitude of moon (in degrees) at moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, pp. 338-342.
DR4 (14.63), lunar-latitude
Longitude of moon (in degrees) at moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, pp. 338-342.
DR4 232 (14.48), lunar-longitude
Angular distance of the lunar node from the equinoctial
point on fixed date.
DR4 234 (14.54), lunar-node
Parallax of moon at tee at location.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998.
DR4 238 (14.66), lunar-parallax
Lunar phase, as an angle in degrees, at moment tee.
An angle of 0 means a new moon, 90 degrees means the
first quarter, 180 means a full moon, and 270 degrees
means the last quarter.
DR4 235 (14.56), lunar-phase
Moment UT of the next time at or after tee
when the lunar_phase is phi degrees.
DR4 235 (14.58), lunar-phase-at-or-after
Moment UT of the last time at or before tee
when the lunar_phase was phi degrees.
DR4 235 (14.57), lunar-phase-at-or-before
Topocentric lunar semi_diameter at moment tee and location.
DR4 251 (14.101), lunar-semi-diameter
Moment (in Beijing) of the first Chinese major solar term (zhongqi)
on or after fixed date. The major terms begin when the sun's
longitude is a multiple of 30 degrees.
DR4 308 (19.4), major-solar-term-on-or-after
Returns the Gregorian date of the Mawlid holiday. DR4 109 (7.6), mawlid
Fixed date of latest date on or before fixed, that is
Mayan haab date haab and tzolkin date tzolkin.
Returns bogus for impossible combinations.
DR4 176 (11.13), mayan-calendar-round-on-or-before
Mayan Epoch. Fixed date of start of the Mayan calendar, according to the Goodman-Martinez-Thompson correlation. Monday, August 11, -3113 (Gregorian), = September 6, 3114 BCE (Julian), = 584283 (JD) = -1137142 (R.D.) DR4 171 (11.1), mayan-epoch
MayanHaab Epoch.
The long count date 0.0.0.0.0 is considered to be the haab date
8 Cumku (...), which we specify by giving the starting R.D. date
of the haab cycle preceding the start of the long count.
mayan-haab-epoch = mayan-epoch - mayan-haab-ordinal(18, 8)
DR4 173 (11.5), mayan-haab-epoch
Mayan haab date of fixed date.
DR4 173 (11.6), mayan-haab-from-fixed
Fixed date of latest date on or before fixed date
that is Mayan haab date haab.
DR4 173 (11.7), mayan-haab-on-or-before
PyCalCal
Number of days into cycle of Mayan haab date h_date.
DR4 173 (11.4), mayan-haab-ordinal
Mayan long count date of fixed date.
DR4 171 (11.3), mayan-long-count-from-fixed
MayanTzolkin Epoch.
__
The long count date 0.0.0.0.0 is taken to be the tzolkin date
4 Ahau (...). Representing tzolkin dates as pairs of positive
integers {number, name} where numberabd nameare integers
in the ranges 1 to 13 and 1 to 20, respectively, we specify
Mayan tzolkin date of fixed date.
DR4 175 (11.9), mayan-tzolkin-from-fixed
Fixed date of latest date on or before fixed date
that is Mayan tzolkin date tzolkin.
DR4 175 (11.11), mayan-tzolkin-on-or-before
Number of days into Mayan tzolkin cycle of t_date.
DR4 175 (11.10), mayan-tzolkin-ordinal
Mean longitude of moon (in degrees) at moment
given in Julian centuries c.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, pp. 337-340.
DR4 233 (14.49), mean-lunar-longitude
DR4 221 (14.32), mean-sidereal-year
DR4 227 (14.44), mean-synodic-month
DR4 221 (14.31), mean-tropical-year
Mecca. DR4 204 (14.3), mecca
U.S. Memorial Day DR4 70 (2.37), memorial-day
Fixed moment of Mesha samkranti (Vernal equinox) in Gregorian g_year.
DR4 364 (20.51), mesha-samkranti
Universal time on fixed date of midday at location.
DR4 218 (14.26), midday
Universal time of true noon on fixed date in Tehran.
DR4 259 (15.3), midday-in-tehran
Universal time of true (apparent) midnight of fixed date at location.
DR4 218 (14.25), midnight
Universal time of (clock) midnight at start of fixed date in China.
DR4 309 (19.7), midnight-in-china
Universal time of true noon on fixed date in Paris.
DR4 283 (17.2), midnight-in-paris
Moment (in Beijing) of the first Chinese minor solar term (jieqi)
on or after fixed date. The minor terms begin when the sun's
longitude is an odd multiple of 15 degrees.
DR4 308 (19.6), minor-solar-term-on-or-after
MJD Epoch. = midnight on Wednesday, November 17, 1858 (Gregorian) DR4 19 (1.6), mjd-epoch
Returns the MJD Number mjd corresponding to fixed date.
DR4 19 (1.8), mjd-from-fixed
Convert x minutes into a fraction of a day.
Modified modulo function. DR4 21 (1.17)
Returns the Interval Modulus.
The value of x shifted into the range
[a..b). Returns x if a=b.
DR4 22 (1.24), mod3 aka imod
Returns the moment of mean conjunction of h_month in Hebrew h_year.
DR4 119 (8.19), molad
Round moment to integer number of seconds. (not DR4)
Returns the moment corresponding to the Julian Day Number jd.
DR4 18 (1.4), moment-from-jd
Returns the moment corresponding to the Unix date s.
DR4 19 (1.10), moment-from-unix
Moment in local time near approx when depression angle of sun is
alpha (negative if above horizon) at location;
early? is true when morning event is sought, and false for evening.
Returns bogus if depression angle is not reached.
DR4 241 (14.70), moment-of-depression
Length of lunar month based on observability at location,
which includes fixed.
DR4 294 (18.13), month-length
Moon's argument of latitude (in degrees) at moment
given in Julian centuries c.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, p. 338.
DR4 234 (14.53), moon-node
Moonlag. The lag time is simply the difference between the times of the moon and the sun. DR4 290 (18.1), moonlag
Standard time of moonrise on fixed date at location.
Returns bogus if there is no moonrise on fixed.
Else no moonrise this day.
DR4 244 (14.83), moonrise
Standard time of moonset on fixed date at location.
Returns bogus if there is no moonset on fixed.
Else no moonset this day.
DR4 245 (14.84), moonset
Signifies morning. DR4 241 (14.71), morning
Date of Bahai New Year in Gregorian year g_year.
DR4 277 (16.11), naw-ruz
Moment UT of first new moon at or after tee.
DR4 231 (14.47), new-moon-at-or-after
Moment UT of last new moon before tee.
DR4 230 (14.46), new-moon-before
Returns the first integer greater or equal to initial index i
such that condition p holds.
DR4 23 (1.32), MIN
Length of nighttime temporal hour on fixed date at location.
Returns bogus if there no sunrise or sunset on date.
DR4 248 (14.90), nighttime-temporal-hour
Nones of month. DR4 78 (3.9), nones_of_month
Date of Persian New Year (Nowruz) in Gregorian year g_year.
DR4 265 (15.11), nowruz
Returns the Fixed date of the n-th k-day (n != 0 and kday the day
of the week) on, or after or before, a given Gregorian date g_date
(counting forward when n > 0, or backward when n < 0).
DR4 69 (2.33), nth-kday
Moment of n-th new moon after (or before) the new moon of January 11, 1.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, corrected 2nd edn., 2005.
DR4 229 (14.45), nth-new-moon
Longitudinal nutation at moment tee.
DR4 223 (14.34), nutation
lines 4100-4110 of calendrica-4.0.cl
Obliquity of ecliptic at moment tee.
lines 3620-3628 of calendrica-4.0.cl
DR4 220 (14.28), obliquity
Fixed date of Observational (classical) Nisan 1 occurring in
Gregorian year g_year.
DR4 297 (18.22), observational-hebrew-first-of-nisan
Observational Hebrew date {year, month, day} corresponding to fixed date.
DR4 298 (18.23), observational-hebrew-from-fixed
Observational Islamic date {year, month, day} corresponding to fixed date.
DR4 294 (18.12), observational-islamic-from-fixed
Observed altitude of upper limb of moon at tee at location,
as a small positive/negative angle in degrees, including refraction
and elevation. 16' is the approximate half-diameter of the moon.
DR4 243 (14.82), observed-lunar-altitude
True if l_year is a leap year on the old Hindu calendar.
DR4 163 (10.11), old-hindu-lunar-leap-year?
Old Hindu lunar fixed equivalent to fixed fixed.
DR4 165 (10.13), old-hindu-lunar-from-fixed
Old Hindu solar fixed equivalent to fixed.
DR4 159 (10.8), old-hindu-solar-from-fixed
Returns the Olympiad corresponding to Julian year j_year.
DR4 82 (3.17), olympiad-from-julian-year
Returns the start of the Olympiads. DR4 82 (3.15), olympiad-start
Number of elapsed weeks and days in the omer at fixed.
Returns bogus if that date does not fall during the omer.
DR4 129 (8.32), omer
Returns the Fixed date Gregorian g_year of Orthodox Easter.
DR4 146 (9.1), orthodox-easter
Location of Padua. DR4 246 (14.85), padua
Location of Paris Observatory. Longitude corresponds to difference of 9m 21s between Paris time zone and Universal Time. DR4 283 (17.1), paris
Fixed date of Passover occurring in Gregorian year g_year.
DR4 129 (8.31), passover
Returns the fixed Date of Christian Gregorian date of pentecost. DR4 152 (9.4), pentecost
Persian Epoch.
... we just number the years, ..., and choose as epoch the traditional
year of ascension of the first Yarlun King, Nyatri Tsenpo.
= fixed-from-julian(622 C.E., march, 19)
DR4 258 (15.1), persian-epoch
Astronomical Persian date {year, month, day} corresponding to fixed date.
DR4 260 (15.6), persian-from-fixed
Fixed date of Astronomical Persian New Year on or before fixed date.
DR4 259 (15.4), persian-new-year-on-or-before
Closest fixed date on or after date on the eve
of which crescent moon first became visible at location.
DR4 252 (14.105), phasis-on-or-after
Closest fixed date on or before date when crescent moon first became
visible at location.
DR4 252 (14.104), phasis-on-or-before
Sum powers of x with coefficients (from order 0 up) in list ell.
see lines 685-691 of calendrica-4.0.cl
Returns the list of occurrences of n-th day of c-day cycle in range.
delta is the position in cycle of RD 0.
a and b define the range to be searched.
DR4 27 (1.40), positions-in-range
Possible days of week. DR4 139 (8.50), possible-hebrew-days
List of possible weekdays. DR4 138 (8.48)
Precession at moment tee using 0,0 as J2000 coordinates.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, pp. 136-137.
DR4 225 (14.39), precession
Product of expression for index = initial and successive integers,
as long as condition holds.
DR4 23 (1.31), lines 643-651 of calendrica-4.0.cl
Fixed date of Purim occurring in Gregorian year g_year.
DR4 129 (8.33), purim
Fixed date of Qingming occurring in Gregorian year g_year.
DR4 324 (19.28), qing-ming
Convert angle from degrees to radians.
List of fixed date(s) of Rama's Birthday in Gregorian year g_year.
DR4 369 (20.61), rama
Identity function for fixed dates/moments.
If internal timekeeping is shifted, change epoch to be RD date
of origin of internal count. epoch should be an integer.
see lines 693-699 of calendrica-4.0.cl
DR4 12 (1.1), rd
Refraction angle at moment tee at location.
The moment is not used.
DR4 242 (14.75), refraction
Right ascension at moment UT tee of object at
latitude beta and longitude lambda.
DR4 220 (14.30), right-ascension
lines 3641-3651 of calendrica-4.0.cl
Returns the Romam date corresponding to the fixed date.
DR4 80 (3.11), roman-from-fixed
Rounded value. DR4 20 (1.15), round
List of Wednesdays in Gregorian year g_year
that are day 8 of Hindu lunar months.
DR4 370 (20.65), sacred-wednesdays
List of Wednesdays within range of dates
that are day 8 of Hindu lunar months.
DR4 371 (20.66), sacred-wednesdays-in-range
Samaritan epoch.
fixed_from_julian(bce(1639), 3, 15)
DR4 301 (18.32), samaritan-epoch
Samaritan date corresponding to fixed date.
DR4 302 (18.35), samaritan-from-fixed
Location of Mt. Gerizim. DR4 300 (18.28), samaritan-location
Fixed date of first new moon after UT moment tee. Modern calculation.
DR4 300 (18.30), samaritan-new-moon-after
Fixed_date of last new moon before UT moment tee. Modern calculation.
DR4 300 (18.31), samaritan-new-moon-at-or-before
Fixed date of Samaritan New Year on or before fixed date.
DR4 301 (18.33), samaritan-new-year-on-or-before
Universal time of true noon on fixed at Samaritan location.
DR4 300 (18.29), samaritan-noon
Moment(s) of season in Gregorian year g_year.
DR4 132 (8.39), samuel-season-in-gregorian
Saudi visibility criterion on eve of fixed date in Mecca.
DR4 296 (18.17), saudi-criterion
Saudi Islamic date {year, month, day} corresponding to fixed date.
DR4 296 (18.20), saudi-islamic-from-fixed
Closest fixed date on or before fixed when Saudi visibility criterion held.
DR4 296 (18.18), saudi-new-month-on-or-before
Moment UT of season in Gregorian year g_year.
seelines 4157-4161 of calendrica-4.0.cl
DR4 224 (14.37), season-in-gregorian
Convert x seconds into a fraction of a day.
List of fixed dates of Sh'ela occurring in Gregorian year g_year.
DR4 131 (8.37), sh-ela
S. K. Shaukat's criterion for likely visibility of crescent moon
on eve of date at location.
Not intended for high altitudes or polar regions.
DR4 250 (14.97), shaukat-criterion
Shift each weekday on list l by cap-Delta days.
DR4 138 (8.49), shift-days
List of fixed date(s) of Night of Shiva in Gregorian year g_year.
DR4 369 (20.60), shiva
True if Kislev is short in Hebrew year h_year.
DR4 122 (8.25), short-kislev?
Mean sidereal time of day from moment tee expressed as hour angle.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, Inc., 2nd edn., 1998, p. 88.
lines 3923-3933 of calendrica-4.0.cl
DR4 219 (14.27), sidereal-from-moment
Sidereal lunar longitude at moment tee.
DR4 234 (14.55), sidereal-lunar-longitude
Sidereal solar longitude at moment tee.
DR4 225 (14.40), sidereal-solar-longitude
precession(universal_from_local(
mesha_samkranti(ce(285)),hindu_location()))precalculated: 336.13605101930455 DR4 359 (20.41), sidereal-start
Sidereal zodiacal sign of the sun, as integer in range 1..12, at moment tee.
DR4 360 (20.43), sidereal-zodiac
Returns the sum of body b for indices i1 .. in
running simultaneously thru lists l1 .. ln.
List l is of the form [[i1 l1]..[in ln]]
Sign of y.
DR4 20 (1.16), sign
Best viewing time (UT) in the evening. Simple version. DR4 250 (14.96), simple-best-view
Sine of theta (given in degrees).
Sine of angle between position of sun at local time tee and
when its depression is alpha at location.
Out of range when it does not occur.
DR4 241 (14.69), sine-offset
Geocentric altitude of sun at tee at location,
as a positive/negative angle in degrees, ignoring
parallax and refraction.
DR4 226 (14.41), solar-altitude
Mean anomaly of sun (in degrees) at moment
given in Julian centuries c.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, p. 338.
DR4 234 (14.51), solar-anomaly
Longitude of sun at moment tee.
Adapted from "Planetary Programs and Tables from -4000
to +2800" by Pierre Bretagnon and Jean-Louis Simon,
Willmann-Bell, 1986.
lines 4048-4098 of calendrica-4.0.cl
DR4 223 (14.33), solar-longitude
Moment UT of the first time at or after tee when the solar longitude
will be lambda degrees.
lines 4122-4135 of calendrica-4.0.cl
DR4 224 (14.36), solar-longitude-after
Standard time from local t_local at location.
DR4 208 (14.13), standard-from-local
Standard time of temporal moment tee at location.
Returns bogus if temporal hour is undefined that day.
DR4 248 (14.91), standard-from-sundial
Standard time from t_universal in universal time at location.
DR4 208 (14.11), standard-from-universal
Sum expression for index = initial and successive integers,
as long as condition holds.
DR4 23 (1.30), lines 634-641 of calendrica-4.0.cl
Standard time of sunrise on fixed date at location.
DR4 242 (14.76), sunrise
Standard time of sunset on fixed date at location.
DR4 242 (14.77), sunset
Fixed date of Ta'anit Esther occurring in Gregorian year g_year.
DR4 130 (8.34), ta-anit-esther
Tangent of theta (given in degrees).
Location of Theran. DR4 259 (15.2), tehran
Tibetan Epoch.
... we just number the years, ..., and choose as epoch the traditional
year of ascension of the first Yarlun King, Nyatri Tsenpo.
= {:gregorian, {-127, 12, 7}}
DR4 376 (21.1), tibetan-epoch
Tibetan lunar date corresponding to fixed date.
DR4 378 (21.5), tibetan-from-fixed
True if t_day is leap in Tibetan month t_month and year t_year.
DR4 381 (21.7), tibetan-leap-day?
True if t_month is leap in Tibetan year t_year.
DR4 380 (21.6), tibetan-leap-month?
Interpolated tabular sine of lunar anomaly alpha.
DR4 (21.3), tibetan-moon-equation
List of fixed dates of Tibetan New Year in Gregorian year g_year.
DR4 381 (21.9), tibetan-new-year
Interpolated tabular sine of solar anomaly alpha.
DR4 (21.2), tibetan-sun-equation
Time of day from hms = hour:minute:second.
DR4 28 (1.43), time-from-clock
Returns the time of day (= the day fraction of a moment). DR4 21 (1.18)
Fixed date of Tishah be-Av occurring in Gregorian year g_year.
DR4 130 (8.35), tishah-be-av
The radix notation corresponding to x with base b
for whole part and c for fraction.
DR4 28 (1.42), to-radix
Topocentric altitude of moon at tee at location, as a small
positive/negative angle in degrees, ignoring refraction.
DR4 239 (14.67), topocentric-lunar-altitude
Occurrences of Tumpek (14th day of Pawukon and every 35th
subsequent day) within Gregorian year g_year.
DR4 190 (12.17), tumpek
DR4 351 (20.25), ujjain
Universal time from sundial time tee at location.
DR4 218 (14.24), universal-from-apparent
Universal moment from Dynamical time tee.
DR4 212 (14.17), universal-from-dynamical
Universal time from local t_local at location.
DR4 208 (14.9), universal-from-local
Universal time from t_standard in standard time at location.
DR4 208 (14.12), universal-from-standard
Returns the moment corresponding to the Unix epoch. = midnight Universal Time on January 1, 1970 (Gregorian) DR4 19 (1.9), unix-epoch
Returns the moment corresponding to the Unix date s.
DR4 19 (1.11), unix-from-moment
Unlucky Fridays DR4 71 (2.45), unlucky-fridays
Unlucky Fridays in Range DR4 71 (2.44), unlucky-fridays-in-range
Urbana, Illinois. DR4 204 (14.1), urbana
Standard time of sunset in Urbana, Illinois, on a given Gregorian date. DR4 243 (14.78), sunset
Standard time of the winter solstice in Urbana, Illinois. DR4 225 (14.38), urbana-winter
Location for Vietnamese calendar is Hanoi; varies with tee.
Time zone has changed over the years.
DR4 329 (19.38), vietnamese-location
Criterion for possible visibility of crescent moon on eve of fixed
at location. Shaukat's criterion may be replaced with another.
DR4 252 (14.103), visible-crescent
Lichun does not occur (double_blind year). DR4 325 (19.33), widow
Fixed date of the anniversary of Hebrew death_date in Hebrew h_year.
DR4 136 (8.46), yahrzeit
List of the fixed dates of death_date (yahrzeit) in Gregorian year g_year.
DR4 137 (8.47), yahrzeit-in-gregorian
B. D. Yallop's criterion for possible visibility of crescent moon
on eve of fixed at location.
Not intended for high altitudes or polar regions.
DR4 251 (14.100), yallop-criterion
Year bearer of year containing fixed date.
Returns bogus for uayeb.
DR4 176 (11.12), mayan-year-bearer-from-fixed
Returns the year on the Julian calendar of the founding of Rome. DR4 81 (3.12), year-rome-founded
Hindu yoga on fixed date.
DR4 369 (20.64), yoga
Fixed date of Yom ha-Zikkaron occurring in Gregorian year g_year.
DR4 131 (8.36), yom-ha-zikkaron
Fixed date of Yom Kippur occurring in Gregorian year g_year.
DR4 128 (8.30), yom-kippur
Difference between UT and local mean time at longitude
as a fraction of a day.
DR4 208 (14.8), zone-from-longitude
Link to this section Types
Specs
circle() :: -180..180
Specs
duration() :: number()
Specs
elevation() :: meters()
Specs
fraction_of_day() :: number()
Specs
latitude() :: -180..180
Specs
Specs
longitude() :: -180..180
Specs
meters() :: number()
Specs
moment() :: number()
Specs
season() :: 0..360
Specs
zone() :: fraction_of_day()
Link to this section Functions
Specs
Aberration at moment tee.
DR4 223 (14.35), aberration
lines 4112-4120 of calendrica-4.0.cl
Acre. DR4 204 (14.5), acre
Moment(s) of season in Gregorian year g_year per R. Adda bar Ahava.
DR4 133 (8.41), adda-season-in-gregorian
Advent DR4 70 (2.42), advent
The n-th name of the AkanDayName cycle.
DR4 38 (1.76), akan-day-name
Number of names from AkanDayName name a_name1 to the
next occurrence of AkanDayName name a_name2.
DR4 38 (1.77), akan-name-difference
AkanDayName Epoch. DR4 38 (1.78), akan-day-name-epoch
AkanDayName name for fixed date.
DR4 38 (1.79), akan-name-from-fixed
Fixed date of latest date on or before fixed date
that has AkanDayName name.
DR4 38 (1.80), akan-day-name-on-or-before
Standard time of asr on fixed date at location.
According to Shafi'i rule.
Returns bogus is no asr occurs.
DR4 249 (14.94), alt-asr
List of fixed date of Birkath ha-Hama in Gregorian year g_year.
DR4 132 (8.40), alt-birkath-ha-hama
Returns the fixed_date corresponding to the Egyptian date.
(Alternate calculation)
DR4 31 (1.48), alt-fixed-from-egyptian
Fixed date equivalent to Observational Hebrew i_date.
Months are never longer than 30 days.
DR4 299 (18.27), alt-fixed-from-observational-hebrew
Fixed date equivalent to Observational Islamic i_date.
Months are never longer than 30 days.
DR4 295 (18.15), alt-fixed-from-observational-islamic
Astronomical sunrise at Hindu location on date, per Lahiri,
rounded to nearest minute, as a rational number.
DR4 357 (20.39), alt-hindu-sunrise
Observational Hebrew date {year, month, day} corresponding to fixed date.
Months are never longer than 30 days.
DR4 299 (18.26), alt-observational-hebrew-from-fixed
Observational Islamic date {year, month, day} corresponding to fixed date.
Months are never longer than 30 days.
DR4 295 (18.16), alt-observational-islamic-from-fixed
Returns the Fixed date Gregorian g_year of Orthodox Easter.
DR4 146 (9.2), alt-orthodox-easter
Returns the adjusted modulus of x and y.
DR4 22 (1.28)
Convert angle d degrees, m arcminutes, s arcseconds
into decimal degrees.
Alternate Variant!
DR4 29 (1.45)
Convert a number of degrees into a list of degrees. DR4 29 (1.45)
Sundial time from local time t_local at location.
DR4 217 (14.21), apparent-from-local
True (apparent) time at universal time tee at location.
DR4 218 (14.23), apparent-from-universal
Moment in local time near tee when depression angle of sun is
alpha (negative if above horizon) at location;
early? is true when morning event is sought and false for evening.
Returns bogus if depression angle is not reached.
DR4 240 (14.68), approx-moment-of-depression
Angular separation of sun and moon at moment tee.
DR4 250 (14.95), arc-of-light
Angular difference in altitudes of sun and moon
at moment tee at location.
DR4 251 (14.98), arc-of-vision
Arccosine of x in degrees.
x arcminutes. DR4 mins (!)
x arcseconds. DR4 secs (!)
Arcsine of x in degrees.
Arctangent of y/x in degrees.
Returns bogus if x and y are both 0.
see lines 3462-3476 of calendrica-4.0.cl
DR4 205 (14.7) arctan
Arithmetic French Revolutionary date corresponding to the fixed date.
DR4 285 (17.10), arithmetic-french-from-fixed
True if year is a leap year on the Arithmetic French Revolutionary calendar.
DR4 285 (17.8), arithmetic-french-leap-year?
Persian date corresponding to fixed date.
DR4 263 (15.10), arithmetic-persian-from-fixed
True if p_year is a leap year on the Persian calendar.
DR4 262 (15.7), arithmetic-persian-leap-year?
Persian year corresponding to the fixed date.
DR4 263 (15.9), arithmetic-persian-year-from-fixed
Armenian Epoch. DR4 31 (1.50), armenian-epoch
Returns the Armenian date {year, month, day} corresponding to fixed_date.
DR4 31 (1.52), armenian-from-fixed
Number of days in one revolution of Jupiter around the Sun. DR4 157 (10.4), arya-jovian-period
Length of Old Hindu lunar day. DR4 160 (10.10), arya-lunar-day
Length of Old Hindu lunar month. = 29.53058181... days DR4 160 (10.9), arya-lunar-month
Length of Old Hindu solar month. DR4 158 (10.6), arya-solar-month
Length of Old Hindu solar year. DR4 157 (10.3), arya-solar-year
Standard time of asr on fixed date at location.
According to Hanafi rule.
Returns bogus is no asr occurs.
DR4 249 (14.93), asr
Bahai date corresponding to fixed date.
DR4 275 (16.9), astro-bahai-from-fixed
Fixed date of Astronomical Bahai New Year on or before fixed date.
DR4 274 (16.7), astro-bahai-new-year-on-or-before
Astronomical Hindu solar year KY at given moment tee.
DR4 360 (20.44), astro-hindu-calendar-year
Astronomical Hindu lunar date equivalent to fixed date.
DR4 361 (20.48), astro-hindu-lunar-from-fixed
Astronomical Hindu (Tamil) solar date equivalent to fixed date.
DR4 360 (20.45), astro-hindu-solar-from-fixed
Geometrical sunset at Hindu location on fixed.
DR4 360 (20.42), astro-hindu-sunset
Phase of moon (tithi) at moment tee, as an integer in the range 1..30.
DR4 361 (20.47), astro-lunar-day-from-moment
Date of (proposed) astronomical Easter in Gregorian year g_year.
Return the Sunday following the Paschal moon.
DR4 292 (18.9), astronomical-easter
Difference between tropical and sidereal solar longitude. DR4 359 (20.40), ayanamsha
DR4 271 (16.1)
The precise correlation between Aztec dates and our R.D. dates is based on the recorded Aztec Dates of the fall of (what later became) Mexico City to Mermán Cortés, August 13, 1521 (Julian). Known date of Aztec cycles (Caso's correlation) August, 13, 1521 (Julian) DR4 177 (11.14), aztec-correlation
Start of a tonalpohualli cycle. = R.D. 555299 DR4 179 (11.20), aztec-tonalpohualli-correlation
Aztec tonalpohualli date of fixed date.
DR4 179 (11.21), aztec-tonalpohualli-from-fixed
Fixed date of latest date on or before fixed date
that is Aztec tonalpohualli date tonalpohualli.
DR4 180 (11.22), aztec-tonalpohualli-on-or-before
Number of days into Aztec tonalpohualli cycle of t_date.
DR4 179 (11.19), aztec-tonalpohualli-ordinal
(Error in book: name and number are interchanged!)
Start of a xihuitl cycle. DR4 178 (11.16), aztec-xihuitl-correlation
AztecXihuitl Epoch. = aztec_xihuitl_correlation (not DR4)
Aztec xihuitl date of fixed date.
DR4 178 (11.17), aztec-xihuitl-from-fixed
Fixed date of latest date on or before fixed date
that is Aztec xihuitl date xihuitl.
DR4 179 (11.18), aztec-xihuitl-on-or-before
Number of elapsed days into cycle of Aztec xihuitl x_date.
DR4 178 (11.15), aztec-xihuitl-ordinal
Designation of year containing fixed date.
Returns bogus for nemontemi.
DR4 180 (11.23), aztec-xiuhmolpilli-from-fixed
aztec_xiuitl_tonalpohuaulli_on_or_before(xihuitl, tonalpohualli, fixed)
View SourceFixed date of latest xihuitl_tonalpohualli combination on or before fixed.
That is the date on or before fixed that is Aztec xihuitl date xihuitl
and tonalpohualli date tonalpohualli.
Returns bogus for impossible combinations.
DR4 180 (11.24), aztec-xihuitl-tonalpohualli-on-or-before
Location of Babylon. DR4 290 (18.2), 409, babylon
Moonlag criterion for visibility of crescent moon on eve of fixed in Babylon.
DR4 290 (18.3), babylonian-criterion
Babylonian Epoch. Epoch is the fixed date of start of the Babylonian calendar (Seleucid era): April 3, 311 BCE (Julian). DR4 291 (18.5), babylonian-epoch
Babylonian date corresponding to fixed date.
DR4 291 (18.8), babylonian-from-fixed
Returns true if the given year is a leap year. DR4 291 (18.6), babylonian-leap-year?
Fixed date of start of Babylonian month on or before Babylonian fixed.
Using lag of moonset criterion.
DR4 290 (18.4), babylonian-new-month-on-or-before
Bahai Epoch.
... we just number the years, ..., and choose as epoch the traditional
year of ascension of the first Yarlun King, Nyatri Tsenpo.
= fixed-from-julian(ce(622), march, 19)
DR4 271 (16.2), bahai-epoch
Bahai date corresponding to fixed date.
DR4 272 (16.4), bahai-from-fixed
Bahai location. DR4 274 (16.5), bahai-location
Bahai New Year. DR4 277 (16.10), bahai-new-year
DR4 274 (16.6), bahai-sunset
Position of fixed in 8-day Balinese cycle.
DR4 188 (12.13), bali-asatawara-from-fixed
Position of fixed in 4-day Balinese cycle.
DR4 189 (12.14), bali-caturwara-from-fixed
Position of date in 10-day Balinese cycle.
DR4 188 (12.9), bali-dasawara-from-fixed
Position of fixed in 210-day Pawukon cycle.
DR4 187 (12.3), bali-day-from-fixed
Position of fixed in 2-day Balinese cycle.
DR4 188 (12.10), bali-dwiwara-from-fixed
Membership of fixed in "1-day" Balinese cycle.
DR4 188 (12.11), bali-luang-from-fixed
Last fixed date on or before date with Pawukon b_date.
DR4 189 (12.15), bali-on-or-before
Position of fixed in 5-day Balinese cycle.
DR4 187 (12.7), bali-pancawara-from-fixed
bali_pawukon_date(luang, dwiwara, triwara, caturwara, pancawara, sadwara, saptawara, asatawara, sangawara, dasawara)
View SourceBaliPawukon Epoch.
= fixed_from_jd(146)
DR4 187 (12.2), bali-epoch
Positions of fixed in ten cycles of Balinese Pawukon calendar.
DR4 185 (12.1), bali-pawukon-from-fixed
Position of fixed in 6-day Balinese cycle.
DR4 187 (12.5), bali-sadwara-from-fixed
Position of date in 9-day Balinese cycle.
DR4 188 (12.12), bali-sangawara-from-fixed
Position of fixed in Balinese week.
DR4 187 (12.6), bali-saptawara-from-fixed
Position of fixed in 3-day Balinese cycle.
DR4 187 (12.4), bali-triwara-from-fixed
Week number of date in Balinese cycle.
DR4 187 (12.8), bali-week-from-fixed
Returns a negative value indicating a BCE Julian year.
Bisection search for x in [lo..hi] such that condition e holds.
p determines when to go left.
lines 653-663 of calendrica-4.0.cl
DR4 24 (1.35), binary-search
List of fixed date of Birkath ha-Hama occurring in Gregorian year g_year.
DR4 131 (8.38), birkath-ha-hama
Date of Bahai New Year in Gregorian year g_year.
DR4 278 (16.13), birth-of-the-bab
List of the fixed dates of Hebrew birthday in Gregorian g_year.
DR4 135 (8.45), hebrew-birthday-in-gregorian
Lichun occurs once at the end. DR4 325 (19.32), blind
Used to denote nonexistent dates. DR4 47 (1.97), bogus
Lichun occurs once at the start. DR4 325 (19.31), bright
Best viewing time (UT) in the evening. Yallop version, per Bruin (1977). DR4 251 (14.99), bruin-best-view
Returns a positive value indicating a CE Julian year.
Convert x days into a fraction of a century.
(not DR4)
DR4 243 (14.79)
Age at fixed date, given Chinese birthdate, according to the
Chinese custom. Returns bogus if fixed is before birthdate.
DR4 325 (19.29), chinese-age
Chinese sexagesimal name for fixed date.
DR4 320 (19.24), chinese-day-name
RD date of a start of Chinese sexagesimal day cycle. DR4 320 (19.23), chinese-day-name-epoch
Fixed date of latest date on or before fixed date
that has Chinese name.
DR4 320 (19.25), chinese-day-name-on-or-before
Chinese Epoch. = March 8, 2637 BCE (Julian) = February 15, -2636 (Gregorian) DR4 316 (19.15), chinese_epoch
Chinese date (cycle year month leap day) of fixed date.
ordinal position of month in year minus 1 during or after a leap month
DR4 317 (19.16), chinese-from-fixed
Location of Beijing; time zone varies with tee.
DR4 306 (19.2), chinese-location
Sexagesimal name for month month of Chinese year year.
DR4 320 (19.22), chinese-month-name
Elapsed months at start of Chinese sexagesimal month cycle. DR4 320 (19.21), chinese-month-name-epoch
Number of names from Chinese name c_name1 to the
next occurrence of Chinese name c_name2.
DR4 319 (19.19), chinese-name-difference
Fixed date (Beijing) of first new moon before fixed date.
DR4 310 (19.10), chinese-new-moon-before
Fixed date (Beijing) of first new moon on or after fixed date.
DR4 309 (19.9), chinese-new-moon-on-or-after
Fixed date of Chinese New Year in Gregorian year g_year.
DR4 322 (19.26), chinese-new-year
Fixed date of Chinese New Year in sui (period from solstice to solstice)
containing date.
DR4 315 (19.13), chinese-new-year-in-sui
Fixed date of Chinese New Year on or before fixed date.
Got the New Year after--this happens if date is after the solstice
but before the new year. So, go back half a year.
DR4 316 (19.14), chinese-new-year-on-or-before
True if Chinese lunar month starting on fixed date
has no major solar term.
DR4 313 (19.11), chinese-no-major-solar-term?
True if there is a Chinese leap month on or after lunar month starting
on fixed day m_prime and at or before lunar month starting at fixed
date m.
DR4 313 (19.12), chinese-prior-leap-month?
The n-th name of the Chinese sexagesimal cycle.
DR4 319 (19.18), chinese-sexagesimal-name
Moment (Beijing time) of the first time at or after tee (Beijing
time) when the solar longitude will be lambda degrees.
DR4 308 (19.3), chinese-solar-longitude-on-or-after
Fixed date, in the Chinese zone, of winter solstice
on or before fixed date.
DR4 309 (19.8), chinese-winter-solstice-on-or-before
The marriage augury type of Chinese year in cycle.
DR4 325 (19.34), chinese-year-marriage-augury
Sexagesimal name for Chinese year of any cycle.
DR4 320 (19.20), chinese-year-name
Christmas DR4 70 (2.41), christmas
Fixed date of Classical (observational) Passover Eve (Nisan 14) occurring
in Gregorian year g_year.
DR4 298 (18.25), classical-passover-eve
Clock time hour:minute:second from moment tee.
DR4 28 (1.44), clock-from-moment
Coptic Christmas. DR4 93 (4.9), coptic-christmas
Coptic Epoch.
= fixed-from-julian(ce(284), august, 29)
DR4 90 (4.1), coptic-epoch
Returns the Coptic date {year, month, day} corresponding to fixed_date.
DR4 91 (4.4), coptic-from-fixed
Returns the list of the fixed dates of Coptic month c_month and
Coptic day c_day that occur in Gregorian year g_year.
DR4 92 (4.8), coptic-in-gregorian
Returns true if the given year is a leap year. DR4 90 (4.2), coptic-leap-year?
Cosine of theta (given in degrees).
Last Chinese major solar term (zhongqi) before fixed date.
DR4 306 (19.1), current-major-solar-term
Last Chinese minor solar term (jieqi) before fixed date.
DR4 308 (19.5), current-minor-solar-term
Returns the occurrences of seasons in g_year with year_length.
DR4 83 (3.22), cycle-in-gregorian
Convert moment into complete Gregorian DateTime
{year, month, day, hour, minute, second}.
Standard time in morning on fixed date at location
when depression angle of sun is alpha.
Returns bogus if there is no dawn on date.
See DR4 244 for various depression angles.
DR4 241 (14.72), dawn
Returns the ordinal day number of the Gregorian date date.
DR4 62 (2.25), day-number
Returns the weekday of fixed.
DR4 33 (1.60)
U.S. Daylight Saving End (as of 2007, the second Sunday in March and the first Sunday in November) DR4 70 (2.40), daylight-saving-end
U.S. Daylight Saving Start DR4 70 (2.39), daylight-saving-start
Number of days in Hebrew year h_year.
DR4 123 (8.26), days-in-hebrew-year
Returns the number of days remaining in the Gregorian year after the date date.
DR4 62 (2.26), days-remaining
Length of daytime temporal hour on fixed date at location.
Returns bogus if there no sunrise or sunset on date.
DR4 247 (14.89), daytime-temporal-hour
Declination at moment UT tee of object at
latitude beta and longitude lambda.
DR4 220 (14.29), declination
lines 3630-3639 of calendrica-4.0.cl
x degrees. For typesetting purposes.
Convert angle from radians to degrees.
Angle (clockwise from North) to face focus when standing in location.
DR4 205 (14.6), direction
List of fixed date(s) of Diwali in Gregorian year g_year.
DR4 368 (20.57), diwali
Lichun occurs twice (double_happiness). DR4 325 (19.30), double-bright
Fixed date of the Dragon Festival occurring in
Gregorian year g_year.
DR4 324 (19.27), dragon-festival
Standard time in evening on fixed date at location
when depression angle of sun is alpha.
Returns bogus if there is no dusk on date.
DR4 242 (14.74), dusk
Dynamical time at Universal moment t_universal.
DR4 212 (14.16), dynamical-from-universal
fixed in location is in a month that was forced to start early.
DR4 294 (18.14), early-month?
Returns the fixed date of Christian Gregorian date of easter. DR4 148 (9.3), easter
DR4 85 (3.25), eastern-orthodox-christmas
Epyptian Epoch.
The epoch chosen by the famous Alexandrian astronomer Ptolemy,
author of the __Almagest__, for this calendar, and called the
__Nabonassar Era__ fater the Chaldean king Nobonassar, is given ...
as JD 1448638.= February 26, 747 BCE (Julian) DR4 30 (1.46), egyptian-epoch
Returns the Egyptian date {year, month, day} corresponding to fixed_date.
DR4 31 (1.49), egyptian-from-fixed
U.S. Election Day DR4 70 (2.38), election-day
Dynamical Time minus Universal Time (in days) for moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus, Willmann-Bell
(1991) for years 1600-1986 and from polynomials on the NASA Eclipse
web site for other years.
DR4 210 (14.15), ephemeris-correction
Epiphany DR4 71 (2.43), epiphany
Equation of time (as fraction of day) for moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, p. 185.
lines 4017-4046 of calendrica-4.0.cl
DR4 215 (14.20), equation-of-time
Approximate moment at or before tee when solar longitude
just exceeded lambda degrees.
DR4 226 (14.42), estimate-prior-solar-longitude
Ethiopic Epoch. = August 29, 8 CE (Julian) DR4 92 (4.5), ethiopic-epoch
Returns the Ethiopic date {year, month, day} corresponding to fixed.
DR4 92 (4.7), ethiopic-from-fixed
Signifies evening. DR4 241 (14.73), evening
DR4 277 (16.12), feast-of-ridvan
Returns the last integer greater or equal to initial index, i
such that condition p holds.
DR4 24 (1.33), MAX
Returns the Fixed date of the first k-day after a given Gregorian date date.
DR4 69 (2.34), first-kday
Fixed date of Arithmetic French Revolutionary fixed date.
DR4 285 (17.9), fixed-from-arithmetic-french
Fixed date equivalent to Persian date p_date.
DR4 262 (15.8), fixed-from-arithmetic-persian
Returns the fixed date corresponding to the Armenian date.
DR4 31 (1.51), fixed-from-armenian
Fixed date equivalent to Bahai date. DR4 275 (16.8), fixed-from-astro-bahai
Fixed date corresponding to Hindu lunar date l_date.
DR4 361 (20.49), fixed-from-astro-hindu-lunar
fixed_from_astro_hindu_lunar(year, month, leap_month, day, leap_day)
View SourceFixed date corresponding to Astronomical Hindu solar date (Tamil rule; Saka era). DR4 360 (20.46), fixed-from-astro-hindu-solar
Fixed date of Babylonian date. DR4 291 (18.7), fixed-from-babylonian
Fixed date of Astronomical Bahai date. DR4 271 (16.3), fixed-from-bahai
Fixed date of Chinese date c_date.
otherwise, there was a prior leap month that
year, so we want the next month
DR4 318 (19.17), fixed-from-chinese
Returns the fixed_date corresponding to the Coptic date.
DR4 90 (4.3), fixed-from-coptic
Returns the fixed date corresponding to the Egyptian date.
DR4 30 (1.47), fixed-from-egyptian
Returns the Fixed date corresponding to the Ethiopic date. DR4 92 (4.6), fixed-from-ethiopic
Fixed date of French Revolutionary date. DR4 284 (17.5), fixed-from-french
Returns the fixed date corresponding to the Gregorian date.
DR4 60 (2.17), fixed-from-gregorian
Returns the Fixed date corresponding to the Hebrew date {year, month, day}.
DR4 123 (8.27), fixed-from-hebrew
Fixed date equivalent to Hindu lunar l_date in full_moon scheme.
DR4 356 (20.37), fixed-from-hindu-fullmoon
Fixed date corresponding to Hindu lunar date l_date.
DR4 350 (20.24), fixed-from-hindu-lunar
Fixed date corresponding to Hindu solar date s_date
(Saka era; Orissa rule.)
Search forward to correct month
DR4 348 (20.21), fixed-from-hindu-solar
Returns the Fixed date corresponding to the Icelandic date {year, season, week, weekday}.
DR4 100 (6.4), fixed-from-icelandic
Returns the Fixed date corresponding to the Islamic date {year, month, day}.
DR4 107 (7.3), fixed-from-islamic
Returns the Fixed date corresponding to the ISO year, week, day date.
DR4 95 (5.1), fixed-from-iso
Returns the fixed date corresponing to moment tee.
DR4 20 (1.13), fixed-from-jd
Returns the fixed date corresponding to the date.
DR4 76 (3.3), fixed-from-julian
Fixed date corresponding to Mayan Long Count count.
DR4 171 (11.2), fixed-from-mayan-long-count
Returns the fixed date corresponding to the MJD Number mjd.
DR4 19 (1.7), fixed-from-mjd
Fixed date of the molad that occurs moon days
and fractional days into the week.
DR4 126 (8.29), fixed-from-molad
Returns the fixed date corresponing to moment tee.
DR4 20 (1.12), fixed-from-moment
Fixed date equivalent to Observational Hebrew date i_date.
DR4 298 (18.24), fixed-from-observational-hebrew
Fixed date equivalent to Observational Islamic date i_date.
DR4 293 (18.11), fixed-from-observational-islamic
Fixed date corresponding to Old Hindu lunar date l_date.
DR4 165 (10.14), fixed-from-old-hindu-lunar
Fixed date corresponding to Old Hindu solar date s_date.
DR4 158 (10.7), fixed-from-old-hindu-solar
Fixed date of Astronomical Persian date p_date.
DR4 260 (15.5), fixed-from-persian
Returns the fixed date corresponding to the Roman date.
DR4 80 (3.10), fixed-from-roman
Fixed date of Samaritan date s_date.
DR4 301 (18.34), fixed-from-samaritan
Fixed date equivalent to Saudi Islamic date i_date.
DR4 296 (18.19), fixed-from-saudi-islamic
Fixed date corresponding to Tibetan lunar date t_date.
DR4 378 (21.4), fixed-from-tibetan
French Epoch. DR4 283 (17.4), french-epoch
French Revolutionary date of fixed date.
DR4 284 (17.6), french-from-fixed
Returns true if the given year is a leap year. DR4 284 (17.7), french-leap-year?
Fixed date of French Revolutionary New Year on or before fixed date.
DR4 283 (17.3), french-new-year-on-or-before
The number corresponding to a in radix notation
with base b for whole part and c for fraction.
DR4 27 (1.41), from-radix
Specs
Greatest common denominator. DR4 21 (1.22), gcd
Greenwich. DR4 204 (14.2), greenwich
Returns the number of days between two Gregorian dates date1, date2.
DR4 62 (2.24), gregorian-date-difference
Gregorian Epoch. DR4 58 (2.3), gregorian-epoch = R.D. 1.
Returns the Gregorian date {year, month, day} corresponding to fixed_date.
DR4 62 (2.23), gregorian-from-fixed
Returns true if the given year is a leap year. DR4 59 (2.16), gregorian-leap-year?
Returns the Fixed date corresponding the January, 1st of the Gregorian year. DR4 60 (2.18), gregorian-new-year
Returns the ordinal day of fixed in its Gregorian year.
DR4 61 (2.22)
Returns the Fixed date corresponding the December, 31st of the Gregorian year. DR4 60 (2.19), gregorian-year-end
Returns the yearof the Gregorian date corresponding to the Fixed date fixed.
DR4 61 (2.21), gregorian-year-from-fixed
Returns the range of dates (= number of days) of the Gregorian year year.
DR4 60 (2.20), gregorian-year-range
Fixed date(s) of first day of Hanukkah in Gregorian year g_year.
DR4 134 (8.43), hanukkah
Fixed date of the anniversary of Hebrew birthdate in Hebrew h_year.
DR4 135 (8.44), hebrew-birthday
Returns the number of days elapsed from the (Sunday) noon prior
to the epoch of the Hebrew calendar to the mean conjunction (molad)
of Tishri of Hebrew year h_year, or one day later.
DR4 121 (8.20), hebrew-calendar-elapsed-days
Hebrew Epoch.
= (Tishri 1, 1 AM) = fixed-from-julian(bce(3761), october, 7)
DR4 119 (8.17), hebrew-epoch
Returns the Hebrew date {year, month, day} equivalent to fixed date.
DR4 123 (8.28), hebrew-from-fixed
List of the fixed dates of Hebrew month h_month, day
h_day that occur in Gregorian year g_year.
DR4 133 (8.42), hebrew-in-gregorian
Returns true if the given year is a leap year. DR4 115 (8.14), hebrew-leap-year
Take Haifa, a city at the western edge of Israel, as the location of the observation. DR4 297 (18.21), hebrew-location
Fixed date of Hebrew new year h_year.
DR4 122 (8.22), hebrew-new-year
DR4 115 (8.16), hebrew-sabbatical-year?
Delays to start of Hebrew year h_year to keep ordinary year in
range 353-356 and leap year in range 383-386.
DR4 122 (8.21), hebrew-year-length-correction
Time from apogee to apogee, with bija correction. DR4 345 (20.10), hindu-anomalistic-month
Time from aphelion to aphelion. DR4 344 (20.9), hindu-anomalistic-year
Inverse of Hindu sine function of amp.
DR4 343 (20.6), hindu-arcsin
Difference between right and oblique ascension of sun on fixed
at location.
DR4 352 (20.27), hindu-ascensional-difference
Determine solar year at given moment tee.
DR4 347 (20.18), hindu-calendar-year
Fixed date of Hindu creation. DR4 344 (20.8), hindu-creation
Sidereal daily motion of sun on fixed.
DR4 353 (20.30), hindu-daily-motion
Fixed date of occurrence of Hindu lunar l_month, l_day in Hindu
lunar year l_year, taking leap and expunged days into account.
When the month is
expunged, then the following month is used.
DR4 367 (20.55), hindu-date-occur
Elapsed days (Ahargana) to fixed since Hindu epoch (KY).
DR4 156 (10.2), hindu-day-count
The OldHindu epoch is the first day of year 0 of the Kali Yuga: = February 18, 3102 BCE (Julian) = January 23, -3101 (Gregorian) = -1132959 RD DR4 156 (10.1), hindu-epoch
Time from true to mean midnight of fixed.
(This is a gross approximation to the correct value.)
Arcsin is not needed since small
DR4 353 (20.32), hindu-equation-of-time
True of Hindu lunar month l_month in l_year is expunged.
DR4 356 (20.38), hindu-expunged?
Hindu lunar date, full_moon scheme, equivalent to fixed date.
DR4 356 (20.36), hindu-fullmoon-from-fixed
DR4 351 (20.26), hindu-location
Time lunar_day (tithi) number k begins at or after
moment tee. k can be fractional (for karanas).
DR4 365 (20.52), hindu-lunar-day-at-or-after
Phase of moon (tithi) at moment tee, as an integer in the range 1..30.
DR4 346 (20.16), hindu-lunar-day-from-moment
Years from Kali Yuga until Vikrama era. DR4 349 (20.22), hindu-lunar-era
List of fixed dates of occurrences of Hindu lunar tithi
prior to sundial time tee, in Hindu lunar l_month,
in Gregorian year g_year.
DR4 368 (20.59), hindu-lunar-event
Hindu lunar date, new_moon scheme, equivalent to fixed date.
DR4 349 (20.23), hindu-lunar-from-fixed
List of fixed dates of occurrences of Hindu lunar
month, day in Gregorian year g_year.
DR4 367 (20.56), hindu-lunar-holiday
Lunar longitude at moment tee.
DR4 346 (20.14), hindu-lunar-longitude
Fixed date of Hindu lunisolar new year in Gregorian g_year.
Next day if new moon after sunrise, unless lunar day ends
before next sunrise.
DR4 365 (20.53), hindu-lunar-new-year
True if Hindu lunar date l_date1 is on or before
Hindu lunar date l_date2.
DR4 367 (20.54), hindu-lunar-on-or-before?
Longitudinal distance between the sun and moon at moment tee.
DR4 346 (20.15), hindu-lunar-phase
Hindu lunar station (nakshatra) at sunrise on fixed.
DR4 369 (20.62), hindu-lunar-station
Position in degrees at moment tee in uniform circular orbit
of period days.
DR4 344 (20.7), hindu-mean-position
Approximate moment of last new moon preceding moment tee,
close enough to determine zodiacal sign.
DR4 346 (20.17), hindu-new-moon-before
Tabulated speed of rising of current zodiacal sign on fixed.
DR4 353 (20.31), hindu-rising-sign
Mean length of Hindu sidereal month. DR4 336 (20.2), hindu-sidereal-month
Mean length of Hindu sidereal year. DR4 336 (20.1), hindu-sidereal-year
Linear interpolation for theta in Hindu table.
DR4 342 (20.5), hindu-sine
This simulates the Hindu sine table.
entry is an angle given as a multiplier of 225'.
DR4 342 (20.4), hindu-sine-table
Years from Kali Yuga until Saka era. DR4 347 (20.19), hindu-solar-era
Hindu (Orissa) solar date equivalent to fixed date.
DR4 347 (20.20), hindu-solar-from-fixed
Solar longitude at moment tee.
DR4 345 (20.12), hindu-solar-longitude
Moment of the first time at or after tee when Hindu solar longitude
will be lambda degrees.
DR4 364 (20.50), hindu-solar-longitude-at-or-after
Difference between solar and sidereal day on fixed.
DR4 352 (20.29), hindu-solar-sidereal-difference
Hindu local time of temporal moment tee.
DR4 355 (20.35), hindu-standard-from-sundial
Sunrise at location on fixed.
DR4 354 (20.33), hindu-sunrise
Sunset at hindu_location on date.
DR4 354 (20.34), hindu-sunset
Mean time from new moon to new moon. DR4 336 (20.3), hindu-synodic-month
Fixed date of occurrence of Hindu lunar tithi prior
to sundial time tee, in Hindu lunar l_month, l_year.
DR4 368 (20.58), hindu-tithi-occur
Hindu tropical longitude on fixed date.atest
Assumes precession with maximum of 27 degrees
and period of 7200 sidereal years
(= 1577917828/600 days).
DR4 352 (20.28), hindu-tropical-longitude
Longitudinal position at moment tee.
period is period of mean motion in days.
size is ratio of radii of epicycle and deferent.
anomalistic is the period of retrograde revolution about epicycle.
change is maximum decrease in epicycle size.
DR4 345 (20.11), hindu-true-position
Zodiacal sign of the sun, as integer in range 1..12, at moment tee.
DR4 345 (20.13), hindu-zodiac
Convert x hours into a fraction of a day.
Icelandic Epoch. The Epoch of the Icelandic calendar is Thursday, April 19, in year 1 of the Gregorian calendar, the onset of Icelandic summer. = Thursday, April 19, 1 (Gregorian) DR4 100 (6.1), icelandic_epoch
Returns the Icelandic date {year, season, week, weekday} equivalent to fixed date.
DR4 101 (6.5), icelandic-from-fixed
Returns true if the given year is a leap year. Ordinary years, with 52 weeks, have 364 days; leap years have 371 years (53 weeks). DR4 101 (6.6), icelandic-leap-year
Returns the month of the season. The months of each season are numbered 1..6 and can be determined from the date by counting units of 30 days from the start of the season. DR4 101 (6.7) icelandic-month
Returns the week of the begin of the Icelandic summer. DR4 100 (6.2), icelandic-summer
Returns the week of the begin of the Icelandic winter. DR4 100 (6.3), icelandic-winter
Ides of month. DR4 77 (3.8), ides-of-month
True if tee is in half_open range.
DR4 26 (1.38), in-range?
U.S. Indepence Day DR4 69 (2.32), independence-day
Use bisection to find inverse of angular function
f at y within interval a..b.
lines 665-672 of calendrica-4.0.cl
DR4 25 (1.36), invert-angular
Islamic Epoch. The Calendar is computed, by the majority of the Muslim world, starting at sunset of Thursday, July 15, &22 C.E. (Julian), the year of Mohammad's migration to Medina from Mecca.. The introduction of the calöendar is often attrituted to the Caliph 'Umar in 639 C.E., but there is evidence that it was in use before his succession. Muslims count R.D. 227015 = Friday, July 16, 622 C.E. (Julian) as the beginning of the Islamic year 1, that is, as Muharram 1, A.H. (Anno Hegira). DR4 106 (7.1), islamic-epoch = fixed-from-julian(ce(622), july, 16)
Returns the Islamic date {year, season, week, weekday} equivalent to fixed date.
DR4 108 (7.4), islamic-from-fixed
Returns the list of the fixed dates of a Islamic date
that occur in Gregorian year g_year.
DR4 108 (7.5), islamic-in-gregorian
Returns true if the given year is a leap year. DR4 102 (7.2), islamic-leap-year
Take the Al-Azhar University, Cairo, a major Islamic religious center, as the location of the observation. DR4 293 (18.10), islamic-location
Returns the ISO date [year, week, day] equivalent to fixed date.
DR4 96 (5.2), iso-from-fixed
Returns true, if year is a long (= 53 week) year,
instead of the normal short (= 52 week) year.
DR4 97 (5.3), iso-long-year?
Italian time corresponding to local time t_local.
DR4 247 (14.88), italian-from-local
Noon at start of Gregorian year 2000 (precalculated).
= gregorian_new_year(2000) + hr(12)
DR4 212 (14.19), j2000
Location for Japanese calendar; varies with tee.
Tokyo (139 deg 46 min east) local time
DR4 326 (19.35), japanese-location
Returns the moment corresponding to the Julian Day Number 0.
JD0 = noon on Monday, January 1, 4713 B.C.E. (Julian)
= noon on November 24, -4713 (Gregorian)DR4 18 (1.3), jd-epoch
Returns the Julian Day Number jd corresponding to the moment tee.
DR4 20 (1.14), jd-from-fixed
Returns the Julian Day Number jd corresponding to the moment tee.
DR4 18 (1.5), jd-from-moment
Jerusalem. DR4 204 (14.4), jerusalem
Standard time of Jewish dusk on fixed date
at location (as per Vilna Gaon).
DR4 243 (14.81), jewish-dusk
Standard time on fixed date at location of end of
morning according to Jewish ritual.
DR4 248 (14.92), jewish-morning-end
Standard time of end of Jewish sabbath on fixed date
at location (as per Berthold Cohn).
DR4 243 (14.80), jewish-sabbath-ends
Year of Jupiter cycle at fixed date.
DR4 157 (10.5), jovian-year
Julian centuries since 2000 at moment tee.
DR4 212 (14.18), julian-centuries
Julian Epoch. {:gregorian, {0, 12, 30}} DR4 76 (3.2), julian-epoch
Returns the Julian date {year, month, day} corresponding to fixed_date.
DR4 76 (3.4), julian-from-fixed
Returns the list of the fixed dates of Julian month j_month and
Julian day j_day that occur in Gregorian year g_year.
DR4 85 (3.24), julian-in-gregorian
Returns true if the given year is a leap year. DR4 75 (3.1), julian-leap-year
DR4 84 (3.23), julian-season-in-gregorian
Returns the Julian year equivalent to AUC year.
DR4 81 (3.13), julian-year-from-auc
Returns the year on the Julian calendar of the olympiad. DR4 82 (3.16), julian-year-from-olympiad
Returns the year AUC equivalent to Julian year.
DR4 81 (3.14), auc-year-from-julian
Occurrences of Kajeng Keliwon (9th day of each 15-day subcycle
of Pawukon) in Gregorian year g_year.
DR4 190 (12.16), kajeng-keliwon
Kalends, Nones, and Ides. The kalends are always the first of the month. The ides are near the middle of the month - the thirteenth of the month, ecept in March, May, July, and October, when they fall on the fifteenth... The nones are always 8 days before the ides. DR4 77
Number (0-10) of the name of the n-th (1-60) Hindu karana.
DR4 369 (20.63), karana
DR4 34 (1.68)
DR4 34 (1.67)
DR4 34 (1.66)
DR4 34 (1.65)
DR4 34 (1.62)
Location for Korean calendar; varies with tee.
Seoul city hall at a varying time zone.
local mean time for longitude 126 deg 58 min
DR4 328 (19.36), korean-location
Equivalent Korean year to Chinese cycle and year.
DR4 328 (19.37), korean-year
U.S. Labor Day DR4 69 (2.36), labor-day
Returns the last day of a Gregorian month given by date and month.
DR4 63 (2.27), last-day-of-gregorian-month
Last day of month month in Hebrew year year.
DR4 122 (8.23), last-day-of-hebrew-month
Returns the Fixed date of the last k-day before, a given Gregorian date date.
DR4 69 (2.35), last-kday
DR4 115 (8.15), last-month-of-hebrew-year
Least common multiple. DR4 21 (1.23), lcm
Convert each element of a list of moments into a fixed date. DR4 26 (1.37), list-of-fixed-from-moments
Those moments in list ell that occur in range.
DR4 26 (1.39), list-range
Local time from sundial time tee at location.
DR4 218 (14.22), local-from-apparent
Local time corresponding to Italian time tee.
DR4 247 (14.87), local-from-italian
Local time from standard t_standard at location.
DR4 208 (14.14), local-from-standard
Local time from universal t_universal at location.
DR4 208 (14.10), local-from-universal
Local time of dusk in Padua, Italy on date of moment tee.
DR4 246 (14.86), local-zero-hour
True if Marheshvan is long in Hebrew year h_year.
DR4 122 (8.24), long-marheshvan?
Fixed date of Tibetan New Year (Losar) in Tibetan year t_year.
DR4 381 (21.8), losar
Geocentric altitude of moon at tee at location, as a small
positive/negative angle in degrees, ignoring parallax and refraction.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998.
DR4 237 (14.64), lunar-altitude
Mean anomaly of moon (in degrees) at moment
given in Julian centuries c.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, p. 338.
DR4 234 (14.52), lunar-anomaly
Geocentric apparent lunar diameter of the moon (in degrees) at moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998.
DR4 252 (14.102), lunar-diameter
Distance to moon (in meters) at moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, pp. 338-342.
DR4 238 (14.65), lunar-distance
Elongation of moon (in degrees) at moment
given in Julian centuries c.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, p. 338.
DR4 234 (14.50), lunar-elongation
Latitude of moon (in degrees) at moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, pp. 338-342.
DR4 (14.63), lunar-latitude
Longitude of moon (in degrees) at moment tee.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, pp. 338-342.
DR4 232 (14.48), lunar-longitude
Angular distance of the lunar node from the equinoctial
point on fixed date.
DR4 234 (14.54), lunar-node
Parallax of moon at tee at location.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998.
DR4 238 (14.66), lunar-parallax
Lunar phase, as an angle in degrees, at moment tee.
An angle of 0 means a new moon, 90 degrees means the
first quarter, 180 means a full moon, and 270 degrees
means the last quarter.
DR4 235 (14.56), lunar-phase
Moment UT of the next time at or after tee
when the lunar_phase is phi degrees.
DR4 235 (14.58), lunar-phase-at-or-after
Moment UT of the last time at or before tee
when the lunar_phase was phi degrees.
DR4 235 (14.57), lunar-phase-at-or-before
Topocentric lunar semi_diameter at moment tee and location.
DR4 251 (14.101), lunar-semi-diameter
Moment (in Beijing) of the first Chinese major solar term (zhongqi)
on or after fixed date. The major terms begin when the sun's
longitude is a multiple of 30 degrees.
DR4 308 (19.4), major-solar-term-on-or-after
Returns the Gregorian date of the Mawlid holiday. DR4 109 (7.6), mawlid
Fixed date of latest date on or before fixed, that is
Mayan haab date haab and tzolkin date tzolkin.
Returns bogus for impossible combinations.
DR4 176 (11.13), mayan-calendar-round-on-or-before
Mayan Epoch. Fixed date of start of the Mayan calendar, according to the Goodman-Martinez-Thompson correlation. Monday, August 11, -3113 (Gregorian), = September 6, 3114 BCE (Julian), = 584283 (JD) = -1137142 (R.D.) DR4 171 (11.1), mayan-epoch
MayanHaab Epoch.
The long count date 0.0.0.0.0 is considered to be the haab date
8 Cumku (...), which we specify by giving the starting R.D. date
of the haab cycle preceding the start of the long count.
mayan-haab-epoch = mayan-epoch - mayan-haab-ordinal(18, 8)
DR4 173 (11.5), mayan-haab-epoch
Mayan haab date of fixed date.
DR4 173 (11.6), mayan-haab-from-fixed
Fixed date of latest date on or before fixed date
that is Mayan haab date haab.
DR4 173 (11.7), mayan-haab-on-or-before
PyCalCal
Number of days into cycle of Mayan haab date h_date.
DR4 173 (11.4), mayan-haab-ordinal
Mayan long count date of fixed date.
DR4 171 (11.3), mayan-long-count-from-fixed
MayanTzolkin Epoch.
__
The long count date 0.0.0.0.0 is taken to be the tzolkin date
4 Ahau (...). Representing tzolkin dates as pairs of positive
integers {number, name} where numberabd nameare integers
in the ranges 1 to 13 and 1 to 20, respectively, we specify
mayan-tzolkin-epoch = mayan-epoch - mayan-tzolkin-ordinal(4, 20)
= -1137301
DR4 175 (11.8), mayan-tzolkin-epoch
Mayan tzolkin date of fixed date.
DR4 175 (11.9), mayan-tzolkin-from-fixed
Fixed date of latest date on or before fixed date
that is Mayan tzolkin date tzolkin.
DR4 175 (11.11), mayan-tzolkin-on-or-before
Number of days into Mayan tzolkin cycle of t_date.
DR4 175 (11.10), mayan-tzolkin-ordinal
Mean longitude of moon (in degrees) at moment
given in Julian centuries c.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, pp. 337-340.
DR4 233 (14.49), mean-lunar-longitude
DR4 221 (14.32), mean-sidereal-year
DR4 227 (14.44), mean-synodic-month
DR4 221 (14.31), mean-tropical-year
Mecca. DR4 204 (14.3), mecca
U.S. Memorial Day DR4 70 (2.37), memorial-day
Fixed moment of Mesha samkranti (Vernal equinox) in Gregorian g_year.
DR4 364 (20.51), mesha-samkranti
Universal time on fixed date of midday at location.
DR4 218 (14.26), midday
Universal time of true noon on fixed date in Tehran.
DR4 259 (15.3), midday-in-tehran
Universal time of true (apparent) midnight of fixed date at location.
DR4 218 (14.25), midnight
Universal time of (clock) midnight at start of fixed date in China.
DR4 309 (19.7), midnight-in-china
Universal time of true noon on fixed date in Paris.
DR4 283 (17.2), midnight-in-paris
Moment (in Beijing) of the first Chinese minor solar term (jieqi)
on or after fixed date. The minor terms begin when the sun's
longitude is an odd multiple of 15 degrees.
DR4 308 (19.6), minor-solar-term-on-or-after
MJD Epoch. = midnight on Wednesday, November 17, 1858 (Gregorian) DR4 19 (1.6), mjd-epoch
Returns the MJD Number mjd corresponding to fixed date.
DR4 19 (1.8), mjd-from-fixed
Convert x minutes into a fraction of a day.
Modified modulo function. DR4 21 (1.17)
Returns the Interval Modulus.
The value of x shifted into the range
[a..b). Returns x if a=b.
DR4 22 (1.24), mod3 aka imod
Returns the moment of mean conjunction of h_month in Hebrew h_year.
DR4 119 (8.19), molad
Round moment to integer number of seconds. (not DR4)
Returns the moment corresponding to the Julian Day Number jd.
DR4 18 (1.4), moment-from-jd
Returns the moment corresponding to the Unix date s.
DR4 19 (1.10), moment-from-unix
Moment in local time near approx when depression angle of sun is
alpha (negative if above horizon) at location;
early? is true when morning event is sought, and false for evening.
Returns bogus if depression angle is not reached.
DR4 241 (14.70), moment-of-depression
Length of lunar month based on observability at location,
which includes fixed.
DR4 294 (18.13), month-length
Moon's argument of latitude (in degrees) at moment
given in Julian centuries c.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, p. 338.
DR4 234 (14.53), moon-node
Moonlag. The lag time is simply the difference between the times of the moon and the sun. DR4 290 (18.1), moonlag
Standard time of moonrise on fixed date at location.
Returns bogus if there is no moonrise on fixed.
Else no moonrise this day.
DR4 244 (14.83), moonrise
Standard time of moonset on fixed date at location.
Returns bogus if there is no moonset on fixed.
Else no moonset this day.
DR4 245 (14.84), moonset
Signifies morning. DR4 241 (14.71), morning
Date of Bahai New Year in Gregorian year g_year.
DR4 277 (16.11), naw-ruz
Moment UT of first new moon at or after tee.
DR4 231 (14.47), new-moon-at-or-after
Moment UT of last new moon before tee.
DR4 230 (14.46), new-moon-before
Returns the first integer greater or equal to initial index i
such that condition p holds.
DR4 23 (1.32), MIN
Length of nighttime temporal hour on fixed date at location.
Returns bogus if there no sunrise or sunset on date.
DR4 248 (14.90), nighttime-temporal-hour
Nones of month. DR4 78 (3.9), nones_of_month
Date of Persian New Year (Nowruz) in Gregorian year g_year.
DR4 265 (15.11), nowruz
Returns the Fixed date of the n-th k-day (n != 0 and kday the day
of the week) on, or after or before, a given Gregorian date g_date
(counting forward when n > 0, or backward when n < 0).
DR4 69 (2.33), nth-kday
Moment of n-th new moon after (or before) the new moon of January 11, 1.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, corrected 2nd edn., 2005.
DR4 229 (14.45), nth-new-moon
Specs
Longitudinal nutation at moment tee.
DR4 223 (14.34), nutation
lines 4100-4110 of calendrica-4.0.cl
Obliquity of ecliptic at moment tee.
lines 3620-3628 of calendrica-4.0.cl
DR4 220 (14.28), obliquity
Fixed date of Observational (classical) Nisan 1 occurring in
Gregorian year g_year.
DR4 297 (18.22), observational-hebrew-first-of-nisan
Observational Hebrew date {year, month, day} corresponding to fixed date.
DR4 298 (18.23), observational-hebrew-from-fixed
Observational Islamic date {year, month, day} corresponding to fixed date.
DR4 294 (18.12), observational-islamic-from-fixed
Observed altitude of upper limb of moon at tee at location,
as a small positive/negative angle in degrees, including refraction
and elevation. 16' is the approximate half-diameter of the moon.
DR4 243 (14.82), observed-lunar-altitude
True if l_year is a leap year on the old Hindu calendar.
DR4 163 (10.11), old-hindu-lunar-leap-year?
Old Hindu lunar fixed equivalent to fixed fixed.
DR4 165 (10.13), old-hindu-lunar-from-fixed
Old Hindu solar fixed equivalent to fixed.
DR4 159 (10.8), old-hindu-solar-from-fixed
Returns the Olympiad corresponding to Julian year j_year.
DR4 82 (3.17), olympiad-from-julian-year
Returns the start of the Olympiads. DR4 82 (3.15), olympiad-start
Number of elapsed weeks and days in the omer at fixed.
Returns bogus if that date does not fall during the omer.
DR4 129 (8.32), omer
Returns the Fixed date Gregorian g_year of Orthodox Easter.
DR4 146 (9.1), orthodox-easter
Location of Padua. DR4 246 (14.85), padua
Location of Paris Observatory. Longitude corresponds to difference of 9m 21s between Paris time zone and Universal Time. DR4 283 (17.1), paris
Fixed date of Passover occurring in Gregorian year g_year.
DR4 129 (8.31), passover
Returns the fixed Date of Christian Gregorian date of pentecost. DR4 152 (9.4), pentecost
Persian Epoch.
... we just number the years, ..., and choose as epoch the traditional
year of ascension of the first Yarlun King, Nyatri Tsenpo.
= fixed-from-julian(622 C.E., march, 19)
DR4 258 (15.1), persian-epoch
Astronomical Persian date {year, month, day} corresponding to fixed date.
DR4 260 (15.6), persian-from-fixed
Fixed date of Astronomical Persian New Year on or before fixed date.
DR4 259 (15.4), persian-new-year-on-or-before
Closest fixed date on or after date on the eve
of which crescent moon first became visible at location.
DR4 252 (14.105), phasis-on-or-after
Closest fixed date on or before date when crescent moon first became
visible at location.
DR4 252 (14.104), phasis-on-or-before
Specs
Sum powers of x with coefficients (from order 0 up) in list ell.
see lines 685-691 of calendrica-4.0.cl
Returns the list of occurrences of n-th day of c-day cycle in range.
delta is the position in cycle of RD 0.
a and b define the range to be searched.
DR4 27 (1.40), positions-in-range
Possible days of week. DR4 139 (8.50), possible-hebrew-days
List of possible weekdays. DR4 138 (8.48)
Precession at moment tee using 0,0 as J2000 coordinates.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, pp. 136-137.
DR4 225 (14.39), precession
Specs
Product of expression for index = initial and successive integers,
as long as condition holds.
DR4 23 (1.31), lines 643-651 of calendrica-4.0.cl
Fixed date of Purim occurring in Gregorian year g_year.
DR4 129 (8.33), purim
Fixed date of Qingming occurring in Gregorian year g_year.
DR4 324 (19.28), qing-ming
Convert angle from degrees to radians.
List of fixed date(s) of Rama's Birthday in Gregorian year g_year.
DR4 369 (20.61), rama
Identity function for fixed dates/moments.
If internal timekeeping is shifted, change epoch to be RD date
of origin of internal count. epoch should be an integer.
see lines 693-699 of calendrica-4.0.cl
DR4 12 (1.1), rd
Refraction angle at moment tee at location.
The moment is not used.
DR4 242 (14.75), refraction
Right ascension at moment UT tee of object at
latitude beta and longitude lambda.
DR4 220 (14.30), right-ascension
lines 3641-3651 of calendrica-4.0.cl
Returns the Romam date corresponding to the fixed date.
DR4 80 (3.11), roman-from-fixed
Rounded value. DR4 20 (1.15), round
List of Wednesdays in Gregorian year g_year
that are day 8 of Hindu lunar months.
DR4 370 (20.65), sacred-wednesdays
List of Wednesdays within range of dates
that are day 8 of Hindu lunar months.
DR4 371 (20.66), sacred-wednesdays-in-range
Samaritan epoch.
fixed_from_julian(bce(1639), 3, 15)
DR4 301 (18.32), samaritan-epoch
Samaritan date corresponding to fixed date.
DR4 302 (18.35), samaritan-from-fixed
Location of Mt. Gerizim. DR4 300 (18.28), samaritan-location
Fixed date of first new moon after UT moment tee. Modern calculation.
DR4 300 (18.30), samaritan-new-moon-after
Fixed_date of last new moon before UT moment tee. Modern calculation.
DR4 300 (18.31), samaritan-new-moon-at-or-before
Fixed date of Samaritan New Year on or before fixed date.
DR4 301 (18.33), samaritan-new-year-on-or-before
Universal time of true noon on fixed at Samaritan location.
DR4 300 (18.29), samaritan-noon
Moment(s) of season in Gregorian year g_year.
DR4 132 (8.39), samuel-season-in-gregorian
Saudi visibility criterion on eve of fixed date in Mecca.
DR4 296 (18.17), saudi-criterion
Saudi Islamic date {year, month, day} corresponding to fixed date.
DR4 296 (18.20), saudi-islamic-from-fixed
Closest fixed date on or before fixed when Saudi visibility criterion held.
DR4 296 (18.18), saudi-new-month-on-or-before
Moment UT of season in Gregorian year g_year.
seelines 4157-4161 of calendrica-4.0.cl
DR4 224 (14.37), season-in-gregorian
Convert x seconds into a fraction of a day.
List of fixed dates of Sh'ela occurring in Gregorian year g_year.
DR4 131 (8.37), sh-ela
S. K. Shaukat's criterion for likely visibility of crescent moon
on eve of date at location.
Not intended for high altitudes or polar regions.
DR4 250 (14.97), shaukat-criterion
Shift each weekday on list l by cap-Delta days.
DR4 138 (8.49), shift-days
List of fixed date(s) of Night of Shiva in Gregorian year g_year.
DR4 369 (20.60), shiva
True if Kislev is short in Hebrew year h_year.
DR4 122 (8.25), short-kislev?
Mean sidereal time of day from moment tee expressed as hour angle.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, Inc., 2nd edn., 1998, p. 88.
lines 3923-3933 of calendrica-4.0.cl
DR4 219 (14.27), sidereal-from-moment
Sidereal lunar longitude at moment tee.
DR4 234 (14.55), sidereal-lunar-longitude
Sidereal solar longitude at moment tee.
DR4 225 (14.40), sidereal-solar-longitude
precession(universal_from_local(
mesha_samkranti(ce(285)),hindu_location()))precalculated: 336.13605101930455 DR4 359 (20.41), sidereal-start
Sidereal zodiacal sign of the sun, as integer in range 1..12, at moment tee.
DR4 360 (20.43), sidereal-zodiac
Returns the sum of body b for indices i1 .. in
running simultaneously thru lists l1 .. ln.
List l is of the form [[i1 l1]..[in ln]]
l is a list of n lists of the same length L [l1, l2, l3, ...]
b is a lambda with n args
sigma sums all L applications of b to the relevant tuple of args
Example
iex> a = [1, 2, 3, 4] [1, 2, 3, 4] iex> b = [5, 6, 7, 8] [5, 6, 7, 8] iex> c = [9, 10, 11, 12] [9, 10, 11, 12] iex> l = [a,b,c] # THE LIST [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]] iex> z = Enum.zip(l) # >>> z = zip(l) [{1, 5, 9}, {2, 6, 10}, {3, 7, 11}, {4, 8, 12}] iex> b = fn {x, y, z} -> x y * z end iex> b.(hd(z)) # apply b to first element of z 45 iex> mapped = Enum.map(z, &(b.(&1))) [45, 120, 231, 384] iex> Enum.sum(mapped) 780 iex> Calixir.sigma(l, b) # USING LIST AND FUNCTION 780
Sign of y.
DR4 20 (1.16), sign
Best viewing time (UT) in the evening. Simple version. DR4 250 (14.96), simple-best-view
Sine of theta (given in degrees).
Sine of angle between position of sun at local time tee and
when its depression is alpha at location.
Out of range when it does not occur.
DR4 241 (14.69), sine-offset
Geocentric altitude of sun at tee at location,
as a positive/negative angle in degrees, ignoring
parallax and refraction.
DR4 226 (14.41), solar-altitude
Mean anomaly of sun (in degrees) at moment
given in Julian centuries c.
Adapted from "Astronomical Algorithms" by Jean Meeus,
Willmann-Bell, 2nd edn., 1998, p. 338.
DR4 234 (14.51), solar-anomaly
Specs
Longitude of sun at moment tee.
Adapted from "Planetary Programs and Tables from -4000
to +2800" by Pierre Bretagnon and Jean-Louis Simon,
Willmann-Bell, 1986.
lines 4048-4098 of calendrica-4.0.cl
DR4 223 (14.33), solar-longitude
Specs
Moment UT of the first time at or after tee when the solar longitude
will be lambda degrees.
lines 4122-4135 of calendrica-4.0.cl
DR4 224 (14.36), solar-longitude-after
Standard time from local t_local at location.
DR4 208 (14.13), standard-from-local
Standard time of temporal moment tee at location.
Returns bogus if temporal hour is undefined that day.
DR4 248 (14.91), standard-from-sundial
Standard time from t_universal in universal time at location.
DR4 208 (14.11), standard-from-universal
Specs
Sum expression for index = initial and successive integers,
as long as condition holds.
DR4 23 (1.30), lines 634-641 of calendrica-4.0.cl
Standard time of sunrise on fixed date at location.
DR4 242 (14.76), sunrise
Standard time of sunset on fixed date at location.
DR4 242 (14.77), sunset
Fixed date of Ta'anit Esther occurring in Gregorian year g_year.
DR4 130 (8.34), ta-anit-esther
Tangent of theta (given in degrees).
Location of Theran. DR4 259 (15.2), tehran
Tibetan Epoch.
... we just number the years, ..., and choose as epoch the traditional
year of ascension of the first Yarlun King, Nyatri Tsenpo.
= {:gregorian, {-127, 12, 7}}
DR4 376 (21.1), tibetan-epoch
Tibetan lunar date corresponding to fixed date.
DR4 378 (21.5), tibetan-from-fixed
True if t_day is leap in Tibetan month t_month and year t_year.
DR4 381 (21.7), tibetan-leap-day?
True if t_month is leap in Tibetan year t_year.
DR4 380 (21.6), tibetan-leap-month?
Interpolated tabular sine of lunar anomaly alpha.
DR4 (21.3), tibetan-moon-equation
List of fixed dates of Tibetan New Year in Gregorian year g_year.
DR4 381 (21.9), tibetan-new-year
Interpolated tabular sine of solar anomaly alpha.
DR4 (21.2), tibetan-sun-equation
Time of day from hms = hour:minute:second.
DR4 28 (1.43), time-from-clock
Returns the time of day (= the day fraction of a moment). DR4 21 (1.18)
Fixed date of Tishah be-Av occurring in Gregorian year g_year.
DR4 130 (8.35), tishah-be-av
Specs
The radix notation corresponding to x with base b
for whole part and c for fraction.
DR4 28 (1.42), to-radix
Topocentric altitude of moon at tee at location, as a small
positive/negative angle in degrees, ignoring refraction.
DR4 239 (14.67), topocentric-lunar-altitude
Occurrences of Tumpek (14th day of Pawukon and every 35th
subsequent day) within Gregorian year g_year.
DR4 190 (12.17), tumpek
DR4 351 (20.25), ujjain
Universal time from sundial time tee at location.
DR4 218 (14.24), universal-from-apparent
Universal moment from Dynamical time tee.
DR4 212 (14.17), universal-from-dynamical
Universal time from local t_local at location.
DR4 208 (14.9), universal-from-local
Universal time from t_standard in standard time at location.
DR4 208 (14.12), universal-from-standard
Returns the moment corresponding to the Unix epoch. = midnight Universal Time on January 1, 1970 (Gregorian) DR4 19 (1.9), unix-epoch
Returns the moment corresponding to the Unix date s.
DR4 19 (1.11), unix-from-moment
Unlucky Fridays DR4 71 (2.45), unlucky-fridays
Unlucky Fridays in Range DR4 71 (2.44), unlucky-fridays-in-range
Urbana, Illinois. DR4 204 (14.1), urbana
Standard time of sunset in Urbana, Illinois, on a given Gregorian date. DR4 243 (14.78), sunset
Standard time of the winter solstice in Urbana, Illinois. DR4 225 (14.38), urbana-winter
Location for Vietnamese calendar is Hanoi; varies with tee.
Time zone has changed over the years.
DR4 329 (19.38), vietnamese-location
Criterion for possible visibility of crescent moon on eve of fixed
at location. Shaukat's criterion may be replaced with another.
DR4 252 (14.103), visible-crescent
Lichun does not occur (double_blind year). DR4 325 (19.33), widow
Fixed date of the anniversary of Hebrew death_date in Hebrew h_year.
DR4 136 (8.46), yahrzeit
List of the fixed dates of death_date (yahrzeit) in Gregorian year g_year.
DR4 137 (8.47), yahrzeit-in-gregorian
B. D. Yallop's criterion for possible visibility of crescent moon
on eve of fixed at location.
Not intended for high altitudes or polar regions.
DR4 251 (14.100), yallop-criterion
Year bearer of year containing fixed date.
Returns bogus for uayeb.
DR4 176 (11.12), mayan-year-bearer-from-fixed
Returns the year on the Julian calendar of the founding of Rome. DR4 81 (3.12), year-rome-founded
Hindu yoga on fixed date.
DR4 369 (20.64), yoga
Fixed date of Yom ha-Zikkaron occurring in Gregorian year g_year.
DR4 131 (8.36), yom-ha-zikkaron
Fixed date of Yom Kippur occurring in Gregorian year g_year.
DR4 128 (8.30), yom-kippur
Difference between UT and local mean time at longitude
as a fraction of a day.
DR4 208 (14.8), zone-from-longitude