1,310. The Moon's Rate of Progress

Hilchos Kiddush HaChodesh 14:2

The daily rate of progress for the moon’s average over ten days is 131 degrees, 45 minutes, 50 seconds (131, 45, 50). The remainder of this progress after 100 days (subtracting multiples of 360) is 237 degrees, 38 minutes, 23 seconds (237, 38, 23). The remainder after 1,000 days is 216 degrees, 23 minutes, 50 seconds (216, 23, 50), and after 10,000 days is 3 degrees, 58 minutes, 20 seconds (3, 58, 20). The remainder of the moon’s progress after 29 days is 22 degrees, 6 minutes, 56 seconds (22, 6, 56). Its remainder in a regular year is 344 degrees, 26 minute, 43 seconds (344, 26, 43). With this information, one can calculate the rate of the moon’s progress for any number of days or years.

Hilchos Kiddush HaChodesh 14:3

The distance traveled by the average of the moon’s path in one day is 13 degrees, 3 minutes, 54 seconds (13, 3, 54). Therefore, in ten days it is 130 degrees, 39 minutes, zero seconds (130, 39); in 100 days, 226 degrees, 29 minutes, 53 seconds (226, 29, 53); in 1,000 days, 104 degrees, 58 minutes, 50 seconds (104, 58, 50); in 10,000 days, 329 degrees, 48 minutes, 20 seconds (329, 48, 20). The remainder after 29 days is 18 degrees, 53 minutes, 4 seconds (18, 53, 4).