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4.1 Converting Gregorian calendar date to Julian Day Number
4.2 Converting Julian calendar date to Julian Day Number
4.3 Finding Julian date given Julian day number and time of day
4.4 Finding day of week given Julian day number
4.5 Julian or Gregorian calendar from Julian day number
4.6 Julian Period from indiction, Metonic and solar cycles
From Wikipedia, the free encyclopedia
Days since the beginning of the Julian Period
"Julian date" redirects here. For dates in the Julian calendar, see Julian calendar . For numbered day of year, see Ordinal date . For the comic book character Julian Gregory Day, see Calendar Man . For the artist and composer, see Julian Day (artist) .
Not to be confused with Julian year (astronomy) .
Julian Period year = (6916 a + 4200 b + 4845 c ) MOD 15×19×28
JDN = (1461 × (Y + 4800 + (M − 14)/12))/4 +(367 × (M − 2 − 12 × ((M − 14)/12)))/12 − (3 × ((Y + 4900 + (M - 14)/12)/100))/4 + D − 32075
JDN = 367 × Y − (7 × (Y + 5001 + (M − 9)/7))/4 + (275 × M)/9 + D + 1729777
J
D
=
J
D
N
+
hour
−
12
24
+
minute
1440
+
second
86400
{\displaystyle {\begin{matrix}J\!D&=&J\!D\!N+{\frac {{\text{hour}}-12}{24}}+{\frac {\text{minute}}{1440}}+{\frac {\text{second}}{86400}}\end{matrix}}}
e = r × f + v g = mod( e , p ) div r h = u × g + w D = (mod( h, s )) div u + 1 M = mod( h div s + m , n ) + 1 Y = ( e div p ) - y + ( n + m - M ) div n
If r>4713, Y = (r − 4713) and is a year AD.
If r<4714, Y = (4714 − r) and is a year BC.
(6916 × 8) = 55328; (4200 × 2) = 8400: (4845 × 8) = 38760. 55328 + 8400 + 38760 = 102488.
^ Both of these dates are years of the Anno Domini or Common Era (which has no year 0 between 1 BC and AD 1). Astronomical calculations generally include a year 0, so these dates should be adjusted accordingly (i.e. the year 4713 BC becomes astronomical year number −4712, etc.). In this article, dates before October 15, 1582, are in the (possibly proleptic) Julian calendar and dates on or after October 15, 1582, are in the Gregorian calendar, unless otherwise labelled.
^ Jump up to: a b This is an epoch starting with day 1 instead of 0. Conventions vary as to whether this is based on UT or local time.
^ To illustrate the ambiguity that could arise from conflating Heliocentric time and Terrestrial time, consider the two separate astronomical measurements of an astronomical object from the Earth: Assume that three objects—the Earth, the Sun, and the astronomical object targeted, that is whose distance is to be measured—happen to be in a straight line for both measures. However, for the first measurement, the Earth is between the Sun and the targeted object, and for the second, the Earth is on the opposite side of the Sun from that object. Then, the two measurements would differ by about 1000 light-seconds: For the first measurement, the Earth is roughly 500 light seconds closer to the target than the Sun, and roughly 500 light seconds further from the target astronomical object than the Sun for the second measure.
An error of about 1000 light-seconds is over 1% of a light-day, which can be a significant error when measuring temporal phenomena for short period astronomical objects over long time intervals. To clarify this issue, the ordinary Julian day is sometimes referred to as the Geocentric Julian Day (GJD) in order to distinguish it from HJD.
^ All years in this paragraph are those of the Anno Domini Era at the time of Easter
^ The concurrent of any Julian year is the weekday of its March 24, numbered from Sunday=1.
^ Doggett in Seidenmann 1992, p. 603, indicates the algorithms are inspired by Fliegel & Van Flanderen 1968. That paper gives algorithms in Fortran . The Fortran computer language performs integer division by truncating, which is functionally equivalent to rounding toward zero.
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The Julian day is the continuous count of days since the beginning of the Julian period, and is used primarily by astronomers , and in software for easily calculating elapsed days between two events (e.g. food production date and sell by date). [1]
The Julian period is a chronological interval of 7980 years; year 1 of the Julian Period was 4713 BC (−4712) . [2] The Julian calendar year 2023 is year 6736 of the current Julian Period. The next Julian Period begins in the year AD 3268 . Historians used the period to identify Julian calendar years within which an event occurred when no such year was given in the historical record, or when the year given by previous historians was incorrect. [3]
The Julian day number (JDN) is the integer assigned to a whole solar day in the Julian day count starting from noon Universal Time , with Julian day number 0 assigned to the day starting at noon on Monday, January 1, 4713 BC , proleptic Julian calendar (November 24, 4714 BC, in the proleptic Gregorian calendar ), [4] [5] [6] a date at which three multi-year cycles started (which are: Indiction , Solar , and Lunar cycles) and which preceded any dates in recorded history . [a] For example, the Julian day number for the day starting at 12:00 UT (noon) on January 1, 2000, was 2 451 545 . [7]
The Julian date (JD) of any instant is the Julian day number plus the fraction of a day since the preceding noon in Universal Time. Julian dates are expressed as a Julian day number with a decimal fraction added. [8] For example, the Julian Date for 00:30:00.0 UT January 1, 2013, is 2 456 293.520 833. [9] This page was loaded at 2023-03-09 21:01:26 ( UTC ) – expressed as a Julian date this is 2460013.3759954. [ refresh ]
The term Julian date may also refer, outside of astronomy, to the day-of-year number (more properly, the ordinal date ) in the Gregorian calendar , especially in computer programming, the military and the food industry, [10] or it may refer to dates in the Julian calendar . For example, if a given "Julian date" is "October 5, 1582", this means that date in the Julian calendar (which was October 15, 1582, in the Gregorian calendar—the date it was first established). Without an astronomical or historical context, a "Julian date" given as "36" most likely means the 36th day of a given Gregorian year, namely February 5. Other possible meanings of a "Julian date" of "36" include an astronomical Julian Day Number, or the year AD 36 in the Julian calendar, or a duration of 36 astronomical Julian years ). This is why the terms "ordinal date" or "day-of-year" are preferred. In contexts where a "Julian date" means simply an ordinal date, calendars of a Gregorian year with formatting for ordinal dates are often called "Julian calendars" , [10] but this could also mean that the calendars are of years in the Julian calendar system.
Historically, Julian dates were recorded relative to Greenwich Mean Time (GMT) (later, Ephemeris Time ), but since 1997 the International Astronomical Union has recommended that Julian dates be specified in Terrestrial Time . [11] Seidelmann indicates that Julian dates may be used with International Atomic Time (TAI), Terrestrial Time (TT), Barycentric Coordinate Time (TCB), or Coordinated Universal Time (UTC) and that the scale should be indicated when the difference is significant. [12] The fraction of the day is found by converting the number of hours, minutes, and seconds after noon into the equivalent decimal fraction. Time intervals calculated from differences of Julian Dates specified in non-uniform time scales, such as UTC, may need to be corrected for changes in time scales (e.g. leap seconds ). [8]
Because the starting point or reference epoch is so long ago, numbers in the Julian day can be
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