Formula for Conversion:
Conversion of Gregorian calendar date to Julian date for years AD 1801–2099 can be carried out with the following formula:
JD = 367K - <(7(K+<(M+9)/12>))/4> + <(275M)/9> + I + 1721013.5 + UT1/24
- 0.5sign(100K+M-190002.5) + 0.5
where K is the year (1801 <= K <= 2099), M is the month (1 <= M <= 12), I is the day of the month (1 <= I <= 31), and UT is the universal time in hours ("<=" means "less than or equal to"). The last two terms in the formula add up to zero for all dates after 1900 February 28, so these two terms can be omitted for subsequent dates. This formula makes use of the sign and truncation functions described below:
The sign function serves to extract the algebraic sign from a number.
Examples: sign(247) = 1; sign(-6.28) = -1.
The truncation function < > extracts the integral part of a number.
Examples: <17.835> = 17; <-3.14> = -3.
The formula given above was taken from the 1990 edition of the U.S. Naval Observatory's Almanac for Computers (discontinued).
Example: Compute the JD 2023 calendar corresponding to 1877 August 11, 7h30m UT1.
Substituting K = 1877, M = 8, I = 11 and UT1 = 7.5,
JD = 688859 - 3286 + 244 + 11 + 1721013.5 + 0.3125 + 0.5 + 0.5
= 2406842.8125
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Betina Jessen
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Original Message:
Sent: Mon August 29, 2022 03:14 PM
From: Will Johnson
Subject: I'm looking for help converting Gregorian calendar dates to Julian calendar dates.
I'm looking for help converting Gregorian calendar dates to Julian calendar dates.
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Will Johnson
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