Numerical Solutions of Kepler's Equation

A demo script for a suite of MATLAB functions for solving Kepler's equation.

https://sourceforge.net/u/cdeaglejr/profile/

Version 1.1.0.0 (346 KB)
1.3K Downloads
(2)
6 Feb 2026

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This submission is a MATLAB script named demo_kepler which demonstrates how to interface with several MATLAB functions that solve Kepler’s equation for circular, elliptical, parabolic and hyperbolic orbits. The algorithms included in this submission are;
kepler1 - Danby's method
kepler2 - Danby's method with Mikkola initial guess
kepler3 - Gooding's two iteration method
kepler4 - parabolic and near-parabolic orbits
kepler_series - series solution to Kepler's equation

Cite As

David Eagle (2026). Numerical Solutions of Kepler's Equation (https://se.mathworks.com/matlabcentral/fileexchange/39031-numerical-solutions-of-kepler-s-equation), MATLAB Central File Exchange. Retrieved .

Categories

Find more on Partial Differential Equation Toolbox in Help Center and MATLAB Answers

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
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Version Published Release Notes
1.1.0.0

Added demo script and series algorithm. Updated PDF documentation
1.0.0.0