Families of asymmetric periodic orbits in the restricted three-body problem

DOI10.1007/s11038-008-9232-4zbMath1148.70006OpenAlexW2030204175MaRDI QIDQ946464

K. E. Papadakis

Publication date: 23 September 2008

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

Full work available at URL: https://doi.org/10.1007/s11038-008-9232-4

zbMATH Keywords

periodic orbithomoclinic orbitrestricted three-body problemasymmetric orbitcritical orbitLévi-Civita regularization

Mathematics Subject Classification ID

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

Related Items (3)

Periodic orbit in the frame work of restricted three bodies under the asteroids belt effect ⋮ Low-energy transfers to cislunar periodic orbits visiting triangular libration points ⋮ Asymmetric periodic solutions in the restricted problem of three bodies

Cites Work

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• Families of asymmetric periodic orbits in Hill's problem of three bodies
• Some families of periodic oscillations in the restricted problem with small mass-ratios of three bodies
• Numerical determination of asymmetric periodic solutions
• New kinds of asymmetric periodic orbits in the restricted three-body problem
• Families of periodic orbits in the photogravitational three-body problem
• Asymmetric periodic orbits in three dimensions
• 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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