The Solution of Kepler's Equation - Part One
Abstract
Methods of iteration are discussed in relation to Kepler's equation, and various initial 'guesses' are considered, with possible strategies for choosing them. Several of these are compared; the method of iteration used in the comparisons has local convergence of the fourth order.
- Publication:
-
Celestial Mechanics
- Pub Date:
- October 1983
- DOI:
- 10.1007/BF01686811
- Bibcode:
- 1983CeMec..31...95D
- Keywords:
-
- Celestial Mechanics;
- Iterative Solution;
- Kepler Laws;
- Newton-Raphson Method;
- Algorithms;
- Boundary Value Problems;
- Convergence;
- Newton Methods;
- Quartic Equations;
- Astronomy;
- Fourth Order;
- Local Convergence