Stability analysis of apsidal alignment in double-averaged restricted elliptic three-body problem

DOI10.1007/s10569-021-10042-8zbMath1490.70035OpenAlexW3205179001MaRDI QIDQ2052951

Kaicheng Sheng, Vladislav V. Sidorenko, Anatoly I. Neishtadt

Publication date: 29 November 2021

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

Full work available at URL: https://doi.org/10.1007/s10569-021-10042-8

zbMATH Keywords

three-body problemstability analysisresonancesaveraging procedure

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Cites Work

• On the stability of an autonomous Hamiltonian system with two degrees of freedom in the case of equal frequencies
• Hill's case of the averaged problem of three bodies and the stability of plane orbits
• The eccentric Kozai-Lidov effect as a resonance phenomenon
• Searching for periodic orbits of the spatial elliptic restricted three-body problem by double averaging
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• The analysis of restricted circular twice-averaged three body problem in the case of close orbits
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