[SPACE] Solar Eclipses on Other Worlds

[Trachmyr]

How would one go about determining the frequency, totality and duration of solar eclipses on other planets?

In the setting I run, the solar eclipse on a particular world has been stated to have a major effect of the natives way of life and activity cycles, but I’ve never actually went in to details (as I didn’t really have any other than a fuzzy idea of the effects). Now I will be running a game where the effect really needs to be known, so I was wondering how to calculate it.

Pertinent Information:

• The Star is Alpha Centauri B {K1V, Mass 0.907, Luminosity 0.50, Radius 0.865}

• The Planet is Altea (aka Thalassia) {Diameter 3.9K Miles, Apparent Rotation 540 Hours*, Sidereal Rotation 486 Hours, Orbital radii 0.65 AU (0.64 to 0.66 due to Eccentricity), Orbital period 0.55 (4860 Hours), Axial Tilt is negligible}

• The Satellite is Celestia (actually a Binary Planet) {Diameter 3.4K Miles, Orbital period is 486 Hours*, Orbital separation is 114K Miles, Axial Tilt is 32%)}

• [I]*Altea and Celestia are Tide-locked to each other, and are in fact a binary system. They are in geosynchronous orbit, and the same face of Altea always faces the same face of Celestia. This region on Altea is called the Moonsea (no connection to the D&D FR region of the same name).

I was wondering what the appearance of the Solar eclipse would be like if one were in the “Moonsea”, and how large the ‘moon‘ appears to be in the sky. Anyone know how to figure this out? (Well I’m sure there is… anyone willing to tell me how to figure it out?)

Thanks,
-Trachmyr