The symmetric elliptic and hyperbolic restricted 3-body problem on the unit circle

DOI10.1016/J.GEOMPHYS.2015.09.009zbMath1361.70013OpenAlexW1900024447MaRDI QIDQ898628

Luis Franco-Pérez, Ernesto Pérez-Chavela

Publication date: 18 December 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.09.009

zbMATH Keywords

exponential dichotomybinary collisions regularized. 80: geometric theory of differential equationsthe restricted problem

Mathematics Subject Classification ID

Three-body problems (70F07) Hamilton's equations (70H05) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global symplectic regularization for some restricted 3-body problems on \(S^1\)
• Symbolic dynamics of the elliptic rectilinear restricted 3-body problem
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On the dynamics and topology of the elliptic rectilinear restricted 3-body problem
• Motion near the unit circle in the three-body problem
• Transversal homoclinic orbits in the collinear restricted three-body problem
• Introduction to Applied Nonlinear Dynamical Systems and Chaos

This page was built for publication: The symmetric elliptic and hyperbolic restricted 3-body problem on the unit circle