Eclipse Predictor - Improvement Needed!

[Anton Viola]

I have created a model in Excel, describing the orbits of the earth around the sun and the moon around the earth, including the tilt of the moon's orbit (nodes). It also includes the distance between the moon and the earth (super moons). 

This model supports the prediction of eclipses, but as the orbits are modelled as circles, accuracy is not always high.

Any tips how to model the orbits as ellipses?

Anton (astronomy-morsels.ch)

Sun-Earth-Moon Model V1.0.xlsx

[Anton Viola]

So, apparently, I need to take into account Kepler's 1st (elliptical orbit) and 2nd (equal areas, varying velocity) into account. So, I modelled actually all 3 laws (including the 3rd: distance vs. speed). All fun, happy with the outcome! You can find the result here, feedback welcomed!

Anton

Kepler's Laws V1.1.xlsx