2014/08/23 by Nikolaos Georgakarakos · 2 citations
Physics and Astronomy · #astro-ph.EP
paper · pdf · doi:10.1046/j.1365-8711.2003.06942.x
published as Monthly Notices of the Royal Astronomical Society, 2003, Volume 345, Issue 1, pp. 340-348 · 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
arxiv created 2014/08/23 · arxiv updated 2014/08/27
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.