Chaotic behaviour in the Newton iterative function associated with Kepler's equation

DOI10.1023/A:1008339416143zbMATH Open0981.70003OpenAlexW2124211717WikidataQ61893622 ScholiaQ61893622MaRDI QIDQ1976131

Laura Stumpf

Publication date: 13 March 2002

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

Full work available at URL: https://doi.org/10.1023/a:1008339416143

zbMATH Keywords

Schwarzian derivativeNewton's methodtwo-body problembasin of attractionchaotic behavioureccentricityKepler's equationeccentric anomalymean anomalysufficient conditions for convergence

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)

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