Periodic solutions of the elliptic isosceles restricted three-body problem with collision by the averaging method

DOI10.1007/s12346-010-0011-zzbMath1195.70022OpenAlexW1994037567MaRDI QIDQ1958738

Lúcia De Fátima Brandão Dias, Claudio Vidal

Publication date: 4 October 2010

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-010-0011-z

zbMATH Keywords

periodic solutionssymmetriesaveraged methodcontinuation's methodisosceles restricted three-body problem with collision

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05)

Related Items

On some Lambda-Pascal sequence spaces and compact operators ⋮ Averaging methods for nonlinear systems with a small parameter via reduction and topological degree ⋮ Limit cycles of polynomial Liénard systems via the averaging method

Cites Work

• Dynamics and chaos in the elliptic isosceles restricted three-body problem with collision
• Periodic solutions of the elliptic isosceles restricted three-body problem with collision
• Searching for periodic orbits of the spatial elliptic restricted three-body problem by double averaging
• Canonical transformations depending on a small parameter
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
• Unnamed Item
• Unnamed Item
• Unnamed Item