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Section 1. The basics of chronology
Finding dates based on the Julian days

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The method of calculation based on the Julian days can be useful, for example, for finding the date for Tisri 1. We don’t know the interval between Nisan 15 and Tisri 1 within one year. But the interval between Tisri 1 of the year to be found and Nisan 15 of the previous year is always 163 days because Nisan, Iyyar, Siwan, Tammuz, Ab, and Elul have an unchanging number of days. If you know the Julian day number for Nisan 15, you can, by adding 163, find the Julian day number for Tisri 1 of the following year.

For example, based on the Gauss formulas, Nisan 15 of the year 5775 in the Jewish calendar corresponds to March 22, 2015, in the Julian calendar. Now we can calculate JDN for this date (JDN =2457117). Consequently, Tisri 1 of the year 5776 corresponds to JDN=2457280. The remainder of division is 0. Therefore, the day is Monday. We have already determined that Nisan 15 of the year 5776 in the Jewish calendar (2016 NE) falls on Saturday. Using Table 3 (see above), we see that the year 5776 of the Jewish calendar is embolismic, that is, its duration is 385 days (an excessive year).

The procedure for converting a Julian day number (JDN) into a Julian calendar date is as follows:

1) c=JDN+32082.

2) d= [(4c+3) /1461].

3) e=c- [1461d/4].

4) m= [(5e+2) /153].

5) day=e- [(153m+2) /5] +1.

6) month=m+3—12* [m/10].

7) year=d-4800+ [m/10].

Where year is the year of NE; month is the number of the month; day is the day of the month; value in brackets is the integer part.

For example, let us convert the Julian day number JDN=2457280 (Tisri 1 of the year 5776 in the Jewish calendar) into a Julian calendar date:

1) c=2489362.

2) d=6815.

3) e=184.

4) m=6.

5) day=1.

6) month=9.

7) year=2015.

Consequently, Tisri 1 of the year 5776 in the Jewish calendar falls on September 1 2015 of the Julian calendar, or September 14 of the Gregorian calendar.

Biblical Chronology

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