Eccentricity evolution in hierarchical triple systems with eccentric outer binaries

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.

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

References in corpus (2)

• Eccentricity generation in hierarchical triple systems with coplanar and initially circular orbits
• Studies of multiple stellar systems - III. Modulation of orbital elements in the triple-lined system HD 109648

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