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Reform of the Julian Calendar as Envisioned by Isaac Newton

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1<br />

This is related to Maimonides’ lunar visibility <strong>the</strong>ory, see [4].<br />

2<br />

Inserted instead <strong>of</strong> <strong>the</strong> crossed out ‘12’ before ‘seconds.’<br />

3<br />

The so-called Metonic cycle, <strong>as</strong>cribed to Meton in 431 BC.<br />

4<br />

In 46 BC.<br />

5<br />

In 8 BC.<br />

6<br />

11m 4.6s. Crossed out: ‘129’ days.<br />

7<br />

In October 1582.<br />

8<br />

In 325 AD.<br />

9<br />

3 * 365.25 d/ 100 = 10. 95 ˜ 11d.<br />

10<br />

The first difference between <strong>the</strong> <strong>Newton</strong>ian and Gregorian calendars h<strong>as</strong> to appear in <strong>the</strong> year 2400.<br />

11<br />

Or 1 day in 312 years, or 22.39s in a month, which is <strong>the</strong> difference between <strong>the</strong> <strong>Julian</strong> 29d 12h 44m 25.53s<br />

and adopted <strong>by</strong> <strong>Newton</strong> Horroxian 29d 12h 44m 3.16s months. It seems that <strong>Newton</strong> did not check <strong>the</strong> final<br />

value <strong>of</strong> <strong>the</strong> lunar Gregorian month, which, after elaborate system <strong>of</strong> epacts, is, according to H. Lichtenberg [3],<br />

only 0.5s less than <strong>the</strong> modern mean month.<br />

12<br />

About 1.7s in a month.

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