Eccentricity evolution in hierarchical triple systems with eccentric outer binaries |
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| Authors: | Nikolaos Georgakarakos |
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| Institution: | School of Mathematics, Edinburgh University, Mayfield Road, Edinburgh EH9 3JZ |
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| 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. |
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| Keywords: | stellar dynamics celestial mechanics binaries: general |
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