Escape of particles orbiting asteroids in the presence of radiation pressure through separatrix splitting

DOI10.1023/A:1008201916186zbMath0906.70006OpenAlexW1612315869MaRDI QIDQ1373176

Harry J. Dankowicz

Publication date: 25 January 1999

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

Full work available at URL: https://doi.org/10.1023/a:1008201916186

zbMATH Keywords

phase spaceArnold diffusionMelnikov theoryhomoclinic tanglesnearly-integrable systemErosexistence of four-dimensional normally hyperbolic invariant manifoldHamiltonian of restricted three-body problemsmooth five-dimensional homoclinic surface

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Celestial mechanics (70F15) Waves and radiation in optics and electromagnetic theory (78A40)

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A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations

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