Bifurcation points and intersections of families of periodic orbits in the three-dimensional restricted three-body problem

DOI10.1007/BF00613198zbMath0767.70008MaRDI QIDQ1209095

K. E. Papadakis, C. G. Zagouras

Publication date: 16 May 1993

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

zbMATH Keywords

existence conditionstriangular equilibrium pointstrifurcation points

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Three-body problems (70F07) Bifurcation theory for ordinary differential equations (34C23)

Related Items (5)

A study of periodic orbits near Europa ⋮ New kinds of asymmetric periodic orbits in the restricted three-body problem ⋮ Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field ⋮ Computation of Periodic Solutions of Conservative Systems with Application to the 3-Body Problem ⋮ A database of planar axisymmetric periodic orbits for the solar system

Cites Work

• Three-dimensional periodic oscillations generating from plane periodic ones around the collinear Lagrangian points
• Three-dimensional periodic orbits about the triangular equilibrium points of the restricted problem of three bodies
• Bifurcations in systems of three degrees of freedom

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