A Simple Analytical Formulation for Periodic Orbits in Binary Stars
Astrophysics
2009-11-13 v1
Abstract
An analytical approximation to periodic orbits in the circular restricted three-body problem is provided. The formulation given in this work is based in calculations known from classical mechanics, but with the addition of the necessary terms to give a fairly good approximation that we compare with simulations, resulting in a simple set of analytical expressions that solve periodic orbits on discs of binary systems without the need of solving the motion equations by numerical integrations.
Cite
@article{arxiv.0710.0355,
title = {A Simple Analytical Formulation for Periodic Orbits in Binary Stars},
author = {Erick Nagel and Barbara Pichardo},
journal= {arXiv preprint arXiv:0710.0355},
year = {2009}
}
Comments
Accepted on MNRAS. 29 pages including 6 Figures and 4 tables