Periodic orbits in the restricted four-body problem

DOI10.1016/0094-5765(86)90026-3zbMath0597.70011OpenAlexW2069272579MaRDI QIDQ3731063

D. B. Spencer, Kathleen C. Howell

Publication date: 1986

Published in: Acta Astronautica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0094-5765(86)90026-3

zbMATH Keywords

three-dimensional solutionrestricted three-body problemcollinear libration pointstrigonometric seriesstability characteristicsinitial approximationhalo solutionsmodified gravity force modelperiodic, coplanar motionthree-dimensional, periodic halo orbits

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) (n)-body problems (70F10) Dynamical systems and ergodic theory (37-XX)

Related Items (4)

Numerical Orbital Stability Analysis of Nonresonant Periodic Motions in the Planar Restricted Four-Body Problem ⋮ Periodic orbits in the concentric circular restricted four-body problem and their invariant manifolds ⋮ Hill four-body problem with oblate bodies: an application to the Sun-Jupiter-Hektor-Skamandrios system ⋮ Qualitative Analysis of Some Libration Points in the Restricted Four-body Problem

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