The three-dimensional general three-body problem: Determination of periodic orbits

DOI10.1007/BF01230227zbMath0428.70017MaRDI QIDQ3865563

V. V. Markellos

Publication date: 1980

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

periodic orbitsnumerical approachequations of motion in a rotating coordinate systemJacobian formulation of the general three-body problem

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (5)

The stability parameters of three-dimensional periodic three-body orbits ⋮ On basic families of three-dimensional periodic orbits of three massive bodies and their stability ⋮ Three-dimensional periodic motion of three finite masses around collinear equilibrium configurations ⋮ Bifurcations of planar to three-dimensional periodic orbits in the general three-body problem ⋮ Periodic orbits

Cites Work

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• Families of periodic orbits in the three-body problem
• Periodic motions around a collinear equilibrium solution of the general three-body problem
• The continuation of periodic orbits from the restricted to the general three-body problem
• On relative periodic solutions of the planar general three-body problem
• On the continuation of periodic orbits from the restricted to the general three-body problem
• Asymmetric periodic orbits in three dimensions

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