Bifurcation of periodic orbits for the \(N\)-body problem, from a nongeometrical family of solutions

DOI10.1007/s10569-022-10062-yzbMath1490.70038arXiv2009.06070OpenAlexW3086690542MaRDI QIDQ2138479

Johann Suárez, Andrés Rivera, Oscar M. Perdomo

Publication date: 12 May 2022

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

Full work available at URL: https://arxiv.org/abs/2009.06070

zbMATH Keywords

periodic orbitsbifurcations\(N\)-body problemanalytic continuation method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) (n)-body problems (70F10)

Cites Work

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• A family of periodic solutions of the planar three-body problem, and their stability
• Quantitative Stability of Certain Families of Periodic Solutions in the Sitnikov Problem
• The Round Taylor Method
• Families of Periodic Orbits for the Spatial Isosceles 3-Body Problem

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