Eccentricity evolution in hierarchical triple systems with eccentric outer binaries
Earth and Planetary Astrophysics
2014-08-27 v1
Abstract
We develop a technique for estimating the inner eccentricity in hierarchical triple systems, with the inner orbit being initially circular, while the outer one is eccentric. We consider coplanar systems with well separated components and comparable masses. The derivation of short period terms is based on an expansion of the rate of change of the Runge-Lenz vector. Then, the short period terms are combined with secular terms, obtained by means of canonical perturbation theory. The validity of the theoretical equations is tested by numerical integrations of the full equations of motion.
Keywords
Cite
@article{arxiv.1408.5890,
title = {Eccentricity evolution in hierarchical triple systems with eccentric outer binaries},
author = {Nikolaos Georgakarakos},
journal= {arXiv preprint arXiv:1408.5890},
year = {2014}
}
Comments
This is a preprint of an article published in MNRAS in 2003. arXiv admin note: substantial text overlap with arXiv:1408.5462, arXiv:0811.1146