# Procedures for solving Kepler's equation

```@article{Odell1986ProceduresFS,
title={Procedures for solving Kepler's equation},
author={A. W. Odell and Robert H. Gooding},
journal={Celestial mechanics},
year={1986},
volume={38},
pages={307-334}
}```
• Published 1 April 1986
• Mathematics
• Celestial mechanics
We review starting formulae and iteration processes for the solution of Kepler's equation, and give details of two complete procedures. The first has been in use for a number of years, but the second is entirely new. The new procedure operates with an iterative process that always gives fourth-order convergence and is taken to only two iterations. The error in the resulting solution then never exceeds 7×10−15 rad.
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