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Re: Julian Day Calculation - Plea for Help

  • To: mathgroup at
  • Subject: [mg3924] Re: Julian Day Calculation - Plea for Help
  • From: Mark Radomski <Mark.Radomski at>
  • Date: Fri, 10 May 1996 03:28:41 -0400
  • Organization: NASA Goddard Space Flight Center -- Greenbelt, Maryland USA
  • Sender: owner-wri-mathgroup at

Matthew K. wrote:
> ...snip...
> I need , if possible, to get the equation for calculating the Julian Day
> well into the future (we're talking 1000 years here).  
> If anyone can help me, it would be most appreciated.  Please e-mail if you
> would at searchme at as I seldom check this group, not being a
> professional in this field.  And if it is not something that can be easily
> calculated (requires an algorithm or something along those lines), could
> someone please let me know that??  Thanks so much for any assistance.
> Lisa
> --
> emergency address only:  SMS CDs

The following lines of code (Basic, in this example) calculate the Julian date 
according to the algorithm of Fliegel and Van Flandern (Henry F. Fliegel and 
Thomas C. Van Flandern, "A Machine Algorithm for Processing Calendar Dates," 
Comm. ACM, Vol. 11, p.657, 1968):

100 INPUT "YR-1900,MO,DAY"; I, J, K
500 LL = -INT((14 - J) / 12): II = I + 1900
550 DJUL = K - 32075 + INT(1461 * (II + 4800 + LL) / 4) + 
    INT(367 * (J - 2 - LL * 12) / 12) - 
    INT(3 * INT((II + 4900 + LL) / 100) / 4)

The INT function (which truncates toward 0 to integer) can be left out if 
you're coding in FORTRAN (or C for years >0 A.D.) which automatically 
truncates integer division. 

Suprisingly easy, wasn't it?  

This will be good for as far into the future as we keep our current scheme of 
assigning leap years/days (political and therefore unpredictable).  

Mark Radomski
Computer Sciences Corporation
Please excuse any formatting/routing problems.  I'm experimenting with a new 
(to me) newsreader and server.


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