A bifurcation in the family of periodic orbits for the spatial isosceles 3 body problem

DOI10.1007/s12346-017-0244-1zbMath1433.70020OpenAlexW2657140703MaRDI QIDQ1617224

Oscar M. Perdomo

Publication date: 7 November 2018

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

Full work available at URL: https://doi.org/10.1007/s12346-017-0244-1

zbMATH Keywords

periodic solutionsbifurcationthree body problemtriple collisiondouble collisionspatial isosceles problem

Mathematics Subject Classification ID

Three-body problems (70F07) Periodic orbits of vector fields and flows (37C27) (n)-body problems (70F10) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (2)

Bifurcation of periodic orbits for the \(N\)-body problem, from a nongeometrical family of solutions ⋮ Periodic Oscillations in a \(2{N}\) -Body Problem

Cites Work

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• Hyperbolicity for symmetric periodic orbits in the isosceles three-body problem
• Triple collision in the planar isosceles three body problem
• The existence of noncollision singularities in Newtonian systems
• Librations of central configurations and braided Saturn rings
• Triple collision in the collinear three-body problem
• Global bifurcations from the center of mass in the Sitnikov problem
• Qualitative study of the planar isosceles three-body problem
• A family of periodic solutions of the planar three-body problem, and their stability
• Families of Periodic Orbits for the Spatial Isosceles 3-Body Problem
• Asymptotic isosceles-triangle solutions for unequal masses

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