Procedures for solving Kepler's equation

DOI10.1007/BF01238923zbMath0602.70008OpenAlexW1973127227MaRDI QIDQ3738627

A. W. Odell, R. H. Gooding

Publication date: 1986

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01238923

zbMATH Keywords

iteration processesfourth-order convergencesolution of Kepler's equation

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Two-body problems (70F05) Celestial mechanics (70F15) Software, source code, etc. for problems pertaining to mechanics of particles and systems (70-04)

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Cites Work

• Unnamed Item
• A general algorithm for the solution of Kepler's equation for elliptic orbits
• Universal Keplerian state transition matrix
• On a class of iteration formulas and some historical notes
• The solution of Kepler's equation, I
• The solution of Kepler's equation, II
• A simple, efficient starting value for the iterative solution of Kepler's equation
• An exact analytical solution of Kepler's equation
• Neue Formeln und Hilfstafeln zur Ephemeridenrechnung

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