Solving Kepler's Equation with High Efficiency and Accuracy
Abstract
We present a method for solving Kepler's equation for elliptical orbits that represents a gain in efficiency and accuracy compared with those currently in use. The gain is obtained through a starter algorithm which uses Mikkola's ideas in a critical range, and less costly methods elsewhere. A higher-order Newton method is used thereafter. Our method requires two trigonometric evaluations.
- Publication:
-
Celestial Mechanics and Dynamical Astronomy
- Pub Date:
- December 1991
- DOI:
- 10.1007/BF00052925
- Bibcode:
- 1991CeMDA..51..319N
- Keywords:
-
- Elliptical Orbits;
- Kepler Laws;
- Orbital Mechanics;
- Problem Solving;
- Two Body Problem;
- Accuracy;
- Computational Astrophysics;
- Iterative Solution;
- Astrophysics;
- Two-body problem;
- Kepler's equation;
- numerical method