Families of asymmetric periodic orbits in Hill's problem of three bodies

DOI10.1007/s10569-005-3641-8zbMath1129.70009OpenAlexW2067506608MaRDI QIDQ816912

Michel Hénon

Publication date: 2 March 2006

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

Full work available at URL: https://doi.org/10.1007/s10569-005-3641-8

zbMATH Keywords

periodic orbitsnumerical integrationHill's problemsecond species families

Mathematics Subject Classification ID

Three-body problems (70F07) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Celestial mechanics (70F15)

Related Items (10)

Periodic orbits generated by Lagrangian solutions of the restricted three body problem when one of the primaries is an oblate body ⋮ Periodic orbits in the generalized photogravitational Chermnykh-like problem with power-law profile ⋮ On the covering of a Hill's region by solutions in the restricted three-body problem ⋮ Low-energy transfers to cislunar periodic orbits visiting triangular libration points ⋮ Bifurcations of periodic solutions of a Hamiltonian system with a discrete symmetry group ⋮ Families of asymmetric periodic orbits in the restricted three-body problem ⋮ Asymmetric periodic orbits in the photogravitational Copenhagen problem ⋮ Conjugacy classes and chiral doublets in the Hénon Hamiltonian repeller ⋮ Multiple periodic orbits in the Hill problem with oblate secondary ⋮ Manifold dynamics and periodic orbits in a multiwell potential

Cites Work

• New families of periodic orbits in Hill's problem of three bodies

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