Symmetric periodic orbits for the collinear charged 3-body problem
- 14 February 2017
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 58 (2), 022702
- https://doi.org/10.1063/1.4974511
Abstract
In this paper we study the existence of periodic symmetric orbits of the 3-body problem when each body possesses mass and an electric charge. The main technique applied in this study is the continuation method of Poincaré.This publication has 14 references indexed in Scilit:
- Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2Journal of Physics A: General Physics, 2006
- Symmetric Periodic Orbits for the Collinear 3-body Problem Via the Continuation MethodPublished by Springer Science and Business Media LLC ,2003
- Symmetric periodic solutions of the anisotropic Manev problemJournal of Mathematical Physics, 2002
- GLOBAL BEHAVIOR OF THE CHARGED ISOSCELES THREE-BODY PROBLEMInternational Journal of Bifurcation and Chaos, 1994
- Semiclassical cycle expansion for the helium atomJournal of Physics B: Atomic, Molecular and Optical Physics, 1991
- A restricted charged four-body problemCelestial Mechanics and Dynamical Astronomy, 1990
- Qualitative analysis of the anisotropic Kepler problemMemoirs of the American Mathematical Society, 1984
- Numerical explorations of the rectilinear problem of three bodiesCelestial Mechanics and Dynamical Astronomy, 1980
- Critical generating orbits for second species periodic solutions of the restricted problemCelestial Mechanics and Dynamical Astronomy, 1977
- Triple collision in the collinear three-body problemInventiones Mathematicae, 1974