New doubly-symmetric families of comet-like periodic orbits in the spatial restricted \((N + 1)\)-body problem

DOI10.1007/s10569-009-9213-6zbMath1223.70033OpenAlexW2124223428MaRDI QIDQ642283

Jaume Llibre, Luci Any Roberto

Publication date: 26 October 2011

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-009-9213-6

zbMATH Keywords

continuation methodcomet-like periodic orbitsdoubly symmetric periodic orbitsspatial restricted \((N+1)\)-body problem

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (2)

Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem ⋮ Families of first kind periodic solutions of the spatial and planar elliptic restricted three-body problem with collision

Cites Work

• Triple and quadruple nested central configurations for the planar \(n\)-body problem
• Comet like periodic orbits in the \(N\)-body problem
• Doubly-symmetric periodic solutions of the spatial restricted three-body problem
• New central configurations for the planar 5-body problem
• Periodic solutions for planar 2N-body problems
• A new method of perturbation theory and its application to the satellite problem of celestial mechanics.
• Periodic solutions of the N-body problem

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