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;
 NewtonRaphson Method;
 Algorithms;
 Boundary Value Problems;
 Convergence;
 Newton Methods;
 Quartic Equations;
 Astronomy