Sequential solution to Kepler's equation

DOI10.1007/s10569-010-9292-4zbMath1223.70002OpenAlexW2050759521MaRDI QIDQ642374

Christian Bruccoleri, Daniele Mortari, Jeremy J. Davis

Publication date: 26 October 2011

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

Full work available at URL: https://doi.org/10.1007/s10569-010-9292-4

zbMATH Keywords

Kepler equationorbit propagation

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical computation of solutions to single equations (65H05) Two-body problems (70F05)

Related Items (6)

Optimal starters for solving the elliptic Kepler's equation ⋮ Robust resolution of Kepler's equation in all eccentricity regimes ⋮ Convergence of starters for solving Kepler's equation via Smale's \(\alpha \)-test ⋮ On the integral solution of elliptic Kepler's equation ⋮ Sequential solution to Kepler's equation ⋮ An analysis of the convergence of Newton iterations for solving elliptic Kepler's equation

Cites Work

• Sequential solution to Kepler's equation
• Dynamic discretization method for solving Kepler's equation
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• A method solving Kepler's equation without transcendental function evaluations
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• Fundamentals of astrodynamics and applications. With technical contributions by Wayne D. McClain.
• Fast multiplication of large numbers
• Procedures for solving Kepler's equation
• A cubic approximation for Kepler's equation
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