# Solving Kepler's equation

1. May 25, 2015

### cptolemy

Good evening,

I do realize that is relatively easy to solve Kepler's equation, M = E - e*sin(E) by iteration in a PC, for instant.
But I'm more interested in knowing better the available aproximative algorithms for its computation.
I've studied so far the Meeus proposal for the true anomaly of a planetary body computed from the mean anomaly, and Laplace / Fourier series on the equation. My tests show, unfortunatly, that they are not indeed as good as they seem... :(
Does anybody knows of another improved formulas for this calculation? Or even old ones. E series, or M sine series?

Kind regards,

CPtolemy

2. May 30, 2015