A Simple Analytical Formulation for Periodic Orbits in Binary Stars
arXiv:0710.0355 · doi:10.1111/j.1365-2966.2007.12523.x
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.
Accepted on MNRAS. 29 pages including 6 Figures and 4 tables