Asymmetric periodic solutions in the restricted problem of three bodies

DOI10.1007/S11038-009-9345-4zbMath1186.85007OpenAlexW2039335236MaRDI QIDQ2269599

K. E. Papadakis, M. I. Rodi

Publication date: 17 March 2010

Published in: Earth, Moon, and Planets (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11038-009-9345-4

zbMATH Keywords

stabilityperiodic orbithomoclinic orbitrestricted three-body problemPoincaré mapasymmetric orbit

Mathematics Subject Classification ID

Three-body problems (70F07) Galactic and stellar dynamics (85A05)

Related Items (1)

The 1/1 resonance in extrasolar systems. Migration from planetary to satellite orbits

Cites Work

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• Asymptotic orbits at the triangular equilibria in the photogravitational restricted three-body problem
• Families of asymmetric periodic orbits in the restricted three-body problem
• Some families of periodic oscillations in the restricted problem with small mass-ratios of three bodies
• New kinds of asymmetric periodic orbits in the restricted three-body problem
• Families of periodic orbits in the photogravitational three-body problem
• Families of periodic orbits emanating from homoclinic orbits in the restricted problem of three bodies
• Families of asymmetric periodic solutions of the restricted problem of three bodies for the Sun-Jupiter mass ratio and their relationship with the symmetric families
• Evolution with the mass parameter of families of asymmetric periodic solutions of the restricted three body problem
• The Trojan Manifold in the System Earth-Moon
• BURRAU'S PROBLEM OF THREE BODIES

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