Some estimates regarding a finite time stability problem of the Sun- Earth-Jupiter system

DOI10.1007/BF00692426zbMath0770.70009OpenAlexW1990495292MaRDI QIDQ1209264

Alexander Rauh

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1007/bf00692426

zbMATH Keywords

Nekhoroshev's theoryconservation of energy and angular momentumfirst-order resonancesmaximal gravitational forcesthird-order rest term

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Stability theory for smooth dynamical systems (37C75) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

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• The Lagrange Configuration in Celestial Mechanics
• A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

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