Procedures for Solving Kepler's Equation

Computer Science

Scientific paper

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Scientific paper

The authors 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 7×10-15rad.

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