Dynamic discretization method for solving Kepler's equation

DOI10.1007/s10569-006-9019-8zbMath1116.70007OpenAlexW1967399222MaRDI QIDQ868493

Craig A. McLaughlin, Scott A. Feinstein

Publication date: 5 March 2007

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-006-9019-8

zbMATH Keywords

Dynamic programmingKepler's equationElliptical motion

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Two-body problems (70F05)

Related Items (8)

Optimal starters for solving the elliptic Kepler's equation ⋮ Robust resolution of Kepler's equation in all eccentricity regimes ⋮ Kepler's equation and limit cycles in a class of PWM feedback control systems ⋮ On the integral solution of elliptic Kepler's equation ⋮ Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic ⋮ Sequential solution to Kepler's equation ⋮ Solving Kepler's equation using Bézier curves ⋮ An analysis of the convergence of Newton iterations for solving elliptic Kepler's equation

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• Kepler equation and accelerated Newton method

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