Is there an algorithm for solar eclipse duration?

[Giuseppe Donnini]

You should try to get hold of the following book by Meeus:

MEEUS, Jean, Elements of Solar Eclipses, 1951 – 2200 (Willmann-Bell, ed.; 1989).



It has the same “computational” approach as his well-known Astronomical Algorithms and can (and should) be seen as a must-have companion to the latter. (Do not confuse it with one of the “canons” he co-authored with various other astrophysicists! They do not provide the algorithms you are looking for.)

Unfortunately, Willmann-Bell went out of business in 2020, and although the American Astronomical Society acquired their inventory, Meeus’s Elements have not yet appeared for sale on their online shopping site. The accompanying CD-ROM, though briefly available, is now out of stock:

https://shopatsky.com/products/elements-...-1951-2202

Incidentally, Mr. Eagle, whom you just quoted, did a fine MATHLAB implementation of it:

https://www.mathworks.com/matlabcentral/...r-eclipses