Julian Day - Alternatives

Alternatives

Because the starting point or reference epoch is so long ago, numbers in the Julian day can be quite large and cumbersome. A more recent starting point is sometimes used, for instance by dropping the leading digits, in order to fit into limited computer memory with an adequate amount of precision. In the following table, times are given in 24 hour notation.

In the table below, Epoch refers to the point in time used to set the origin (usually zero, but (1) where explicitly indicated) of the alternative convention being discussed in that row. The date given is a Gregorian calendar date if it is October 15, 1582 or later, but a Julian calendar date if it is earlier. JD stands for Julian Date. 0h is 00:00 midnight, 12h is 12:00 noon, GMT unless specified else wise.

Name Epoch Calculation Current value Notes
Julian Date 12h Jan 1, 4713 BC 2456255.15645
Reduced JD 12h Nov 16, 1858 JD − 2400000 56255.15645
Modified JD 0h Nov 17, 1858 JD − 2400000.5 56254.65645 Introduced by SAO in 1957
Truncated JD 0h May 24, 1968 JD − 2440000.5 16254 Introduced by NASA in 1979
Dublin JD 12h Dec 31, 1899 JD − 2415020 41235.15645 Introduced by the IAU in 1955
Chronological JD 0h Jan 1, 4713 BC JD + 0.5 + tz 2456255.65645(UT) Specific to time zone
Lilian date Oct 15, 1582 (1) floor (JD − 2299160.5) 157094 Count of days of the Gregorian calendar
ANSI Date Jan 1, 1601 (1) floor (JD − 2305812.5) 150442 Origin of COBOL integer dates
Rata Die Jan 1, 1 (1) floor (JD − 1721424.5) 734830 Count of days of the Common Era (Gregorian)
Unix Time 0h Jan 1, 1970 (JD − 2440587.5) × 86400 1353685517 Count of seconds
Mars Sol Date 12h Dec 29, 1873 (JD − 2405522)/1.02749 49375.75522 Count of Martian days
  • The Modified Julian Date (MJD) was introduced by the Smithsonian Astrophysical Observatory in 1957 to record the orbit of Sputnik via an IBM 704 (36-bit machine) and using only 18 bits until August 7, 2576. MJD is the epoch of OpenVMS, using 63-bit date/time postponing the next Y2K campaign to July 31, 31086 02:48:05.47. MJD is defined relative to midnight, rather than noon.
  • The Truncated Julian Day (TJD) was introduced by NASA/Goddard in 1979 as part of a parallel grouped binary time code (PB-5) "designed specifically, although not exclusively, for spacecraft applications." TJD was a 4-digit day count from MJD 44000, which was May 24, 1968, represented as a 14-bit binary number. Since this code was limited to four digits, TJD recycled to zero on MJD 45000, or October 10, 1995, "which gives a long ambiguity period of 27.4 years". (NASA codes PB-1—PB-4 used a 3-digit day-of-year count.) Only whole days are represented. Time of day is expressed by a count of seconds of a day, plus optional milliseconds, microseconds and nanoseconds in separate fields. Later PB-5J was introduced which increased the TJD field to 16 bits, allowing values up to 65535, which will occur in the year 2147. There are five digits recorded after TJD 9999.
  • The Dublin Julian Date (DJD) is the number of days that has elapsed since the epoch of the solar and lunar ephemerides used from 1900 through 1983, Newcomb's Tables of the Sun and Ernest W. Brown's Tables of the Motion of the Moon (1919). This epoch was noon UT on January 0, 1900, which is the same as noon UT on December 31, 1899. The DJD was defined by the International Astronomical Union at their 1955 meeting in Dublin, Ireland.
  • The Chronological Julian Date was recently proposed by Peter Meyer and has been used by some students of the calendar and in some scientific software packages. CJD is usually defined relative to local civil time, rather than UT, requiring a time zone (tz) offset to convert from JD. In addition, days start at midnight rather than noon. Users of CJD sometimes refer to Julian Date as Astronomical Julian Date to distinguish it.
  • The Lilian day number is a count of days of the Gregorian calendar and not defined relative to the Julian Date. It is an integer applied to a whole day; day 1 was October 15, 1582, which was the day the Gregorian calendar went into effect. The original paper defining it makes no mention of the time zone, and no mention of time-of-day. It was named for Aloysius Lilius, the principal author of the Gregorian calendar.
  • The ANSI Date defines January 1, 1601 as day 1, and is used as the origin of COBOL integer dates. This epoch is the beginning of the previous 400-year cycle of leap years in the Gregorian calendar, which ended with the year 2000.
  • Rata Die is a system (or more precisely a family of three systems) used in the book Calendrical Calculations. It uses the local timezone, and day 1 is January 1, 1, that is, the first day of the Christian or Common Era in the proleptic Gregorian calendar.

The Heliocentric Julian Day (HJD) is the same as the Julian day, but adjusted to the frame of reference of the Sun, and thus can differ from the Julian day by as much as 8.3 minutes (498 seconds), that being the time it takes the Sun's light to reach Earth.

To illustrate the ambiguity that could arise, consider the two separate astronomical measurements of an astronomic 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 measure. 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 1 000 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.

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