Instability and diffusion in the elliptic restricted three-body problem

DOI10.1023/A:1008200806138zbMath0916.70008OpenAlexW396788156MaRDI QIDQ1286875

Zhihong Xia, Donald G. Saari, Xin-Hao Liao

Publication date: 20 July 1999

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

Full work available at URL: https://doi.org/10.1023/a:1008200806138

zbMATH Keywords

phase spaceArnold diffusiontransversal intersectionelliptic-elliptic resonance orbitshyperbolic-elliptic resonance orbitsNewton's differential correction methodPoincaré surface-sectionresonant jumptwo-dimensional invariant manifold

Mathematics Subject Classification ID

Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Stability theory for smooth dynamical systems (37C75)

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