Procedures for Solving Kepler's Equation
Abstract
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.
- Publication:
-
Celestial Mechanics
- Pub Date:
- April 1986
- DOI:
- 10.1007/BF01238923
- Bibcode:
- 1986CeMec..38..307O
- Keywords:
-
- Iterative Process;
- Iteration Process;
- Complete Procedure