On the stability of periodic Mercury-type rotations

DOI10.1134/S1560354717070073zbMath1398.37091OpenAlexW2794268928MaRDI QIDQ1795456

Tatyana E. Churkina, Sergey Y. Stepanov

Publication date: 16 October 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354717070073

zbMATH Keywords

periodic solutionnonlinear stabilityMercuryresonance rotation

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Normal forms for nonlinear problems in mechanics (70K45)

Uses Software

• Taylor

Cites Work

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• On the Occurrence of Commensurable Mean Motions in the Solar System: The Mirror Theorem
• A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
• Solar System Dynamics

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