Practical Stability Domains Near L 4,5 in the Restricted Three-Body Problem: Some Preliminary Facts

DOI10.1007/978-3-642-38830-9_23zbMath1305.70021OpenAlexW309173307MaRDI QIDQ2875512

Priscilla A. Sousa-Silva, Carles Simó, Maisa O. Terra

Publication date: 8 August 2014

Published in: Progress and Challenges in Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-38830-9_23

zbMATH Keywords

KAM theorySun-Jupiter systemLagrangian pointNekhoroshev estimate

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20)

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Cites Work

• The separation of motions in systems with rapidly rotating phase
• Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
• Practical Stability Domains Near L 4,5 in the Restricted Three-Body Problem: Some Preliminary Facts
• On Brown's conjecture
• Invariant manifolds ofL₃and horseshoe motion in the restricted three-body problem
• On the Computation of Reducible Invariant Tori on a Parallel Computer
• Dynamics and Mission Design Near Libration Points
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