Eccentricity generation in hierarchical triple systems with non-coplanar and initially circular orbits

2014/08/23 by Nikolaos Georgakarakos
Physics and Astronomy · #astro-ph.EP

paper · pdf · doi:10.1023/b:cele.0000028162.54670.03

published as Celestial Mechanics and Dynamical Astronomy, 2004, Volume 89, Issue 1, p. 63-82 · This is a preprint of an article published in 'Celestial Mechanics and Dynamical Astronomy' in 2004. arXiv admin note: substantial text overlap with arXiv:1408.5462, arXiv:1408.5890

arxiv created 2014/08/23 · arxiv updated 2014/08/28

Abstract

In a previous paper, we developed a technique for estimating the inner eccentricity in coplanar hierarchical triple systems on initially circular orbits, with comparable masses and with well separated components, based on an expansion of the rate of change of the Runge-Lenz vector. Now, the same technique is extended to non-coplanar orbits. However, it can only be applied to systems with I₀<39.23^∘ or I₀>140.77^∘, where I is the inclination of the two orbits, because of complications arising from the so-called 'Kozai effect'. The theoretical model is tested against results from numerical integrations of the full equations of motion.

Citations

• Eccentricity generation in hierarchical triple systems with coplanar and initially circular orbits
• Eccentricity evolution in hierarchical triple systems with eccentric outer binaries