Topology of Jacobi levels with no zero velocity curves in the restricted three-body problem

DOI10.1007/BF00944918zbMath0623.70009OpenAlexW2056051240MaRDI QIDQ1091833

Carles Simó, Ernesto A. Lacomba

Publication date: 1987

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00944918

zbMATH Keywords

periodic orbitsregularizationKlein bottlerestricted three body problemJacobian constantcollision pointstopological description of the phase spacetopological transformationtwo-torus at infinityzero-velocity curve

Mathematics Subject Classification ID

Cites Work

• Unnamed Item
• Oscillatory solutions in the planar restricted three-body problem
• A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
• Boundary manifolds for energy surfaces in celestial mechanics
• BURRAU'S PROBLEM OF THREE BODIES

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