Symmetric doubly asymptotic orbits at collinear equilibrium points in the general three-body problem

Details Symmetric doubly asymptotic orbits at collinear equilibrium points in the general three-body problem Symmetric doubly asymptotic orbits at collinear equilibrium points in the general three-body problem

Oct 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002a%26a...394..323p&link_type=abstract

Astronomy and Astrophysics, v.394, p.323-328 (2002)

Astronomy and Astrophysics

Astrophysics

1

Celestial Mechanics, Methods: Numerical

Scientific paper

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.

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