Numerical Solutions of Kepler's Equation

Version 1.1.0.0 (346 KB) by David Eagle
A demo script for a suite of MATLAB functions for solving Kepler's equation.
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Updated 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://www.mathworks.com/matlabcentral/fileexchange/39031-numerical-solutions-of-kepler-s-equation), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2024b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Partial Differential Equation Toolbox in Help Center and MATLAB Answers
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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