Nonlinear approximation of periodic three-body motions around collinear equilibrium configurations

DOI10.1007/BF00638991zbMath0663.70013MaRDI QIDQ1115217

V. V. Markellos, K. E. Papadakis, E. A. Perdios

Publication date: 1988

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

zbMATH Keywords

periodic orbitsAnalytic approximationscoplanar periodic motionsmass ratiossmall orbital parameterthree finite mass pointsthree- body problem

Mathematics Subject Classification ID

Three-body problems (70F07) Orbital mechanics (70M20)

Related Items (2)

The stability of vertical motion in the \(N\)-body circular Sitnikov problem ⋮ Periodic orbits and bifurcations in the Sitnikov four-body problem

Cites Work

• Bifurcations of planar to three-dimensional periodic orbits in the general three-body problem
• Three-dimensional periodic solutions around equilibrium points in Hill's problem
• Periodic solutions about the collinear lagrangian solution in the general problem of three bodies
• Three-dimensional periodic motion of three finite masses around collinear equilibrium configurations
• Families of periodic orbits in the three-body problem
• BURRAU'S PROBLEM OF THREE BODIES

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