Stability of planetary systems with respect to masses

DOI10.1007/s10569-010-9324-0zbMath1270.70021OpenAlexW2039569356MaRDI QIDQ362626

Eduard D. Kuznetsov, Konstantin Vladislavovich Kholshevnikov

Publication date: 30 August 2013

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

Full work available at URL: https://doi.org/10.1007/s10569-010-9324-0

zbMATH Keywords

method of averagingSun-Jupiter-Saturn systemescapeclose approaches47 UMa planetsosculating and Mean elementsstability in the sense of Lagrange

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Two-body problems (70F05)

Cites Work

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• Stability criteria for hierarchical triple systems
• Solving Ordinary Differential Equations I
• Hill stability and distance curves for the general three-body problem
• On topological stability in the general three-body problem
• Implicit single-sequence methods for integrating orbits

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