Symmetric doubly asymptotic orbits at collinear equilibrium points in the general three-body problem
Department of Engineering Sciences, University of Patras, 26500 Patras, Greece e-mail: firstname.lastname@example.org; email@example.com
Corresponding author: E. A. Perdios, firstname.lastname@example.org
Accepted: 23 July 2002
This paper concerns the numerical determination of doubly asymptotic orbits at the collinear equilibrium points of the general three-body problem. To compute a doubly asymptotic orbit we use a linear analysis to determine the relevant outgoing eigenvector and a combined iterative method based on the characteristic bisection and Newton's method to solve the resulting system of equations for the mass parameters of the problem. Many such orbits are presented.
Key words: celestial mechanics / methods: numerical
© ESO, 2002