Calculated_saros_and_inex_numbers.png
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Summary
Description Calculated saros and inex numbers.png |
English:
The graph is like the
solar eclipse panorama
by Luca Quaglia and John Tilley (compare with
w:File:Saros-Inex_panorama.png
). The saros and inex numbers of an eclipse in every eclipse season from 11,000 BC to AD 15,000 are calculated from a given approximate date. First an index of the eclipse season is calculated as Index = FLOOR((date+2882.55)*2.1074515+0.5), where "date" is the number of Gregorian years since January 1, 1 BC in the proleptic Gregorian calendar. Then for how many times a five-month period separates two targeted eclipses we use the formula N5 = FLOOR(Index/7.62413+1.25-((Index/2.107452-4882)/14500)^2+ 0.1 sin(18.02915 π (Index-0.15)/19)). (The 18.02915 is the length of a saros in terms of anomalistic years. The sine term attempts to account for the deviation of the sun's longitude from its mean longitude.) The saros number for the eclipse is then 5 Index - 38 N5, and the inex number is 8 Index - 61 N5.
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Date | |
Source | Own work |
Author | Eric Kvaalen |
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