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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

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# Solving Kepler's equation

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