Hill's problem: Families of three-dimensional periodic orbits (Part I)

DOI10.1007/BF00641660zbMath0435.70004OpenAlexW2077496987MaRDI QIDQ1140445

M. Michalodimitrakis

Publication date: 1980

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00641660

zbMATH Keywords

three-dimensional periodic orbitsHill's problemvertical critical periodical orbits

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (8)

A Hopf variables view on the libration points dynamics ⋮ Hill's approximation in a restricted four-body problem ⋮ Robust control of the Hill's problem with drag ⋮ The Conley-Zehnder indices of the spatial Hill three-body problem ⋮ Higher order approximation to the Hill problem dynamics about the libration points ⋮ The linear symmetries of Hill's lunar problem ⋮ The spatial Hill four-body problem. I: An exploration of basic invariant sets ⋮ Three-dimensional periodic solutions around equilibrium points in Hill's problem

Cites Work

• Unnamed Item
• New periodic solutions of the three dimensional restricted problem
• The stability of second species periodic orbits in the restricted problem (μ = 0)

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