Eccentricity evolution in hierarchical triple systems with eccentric outer binaries

Details Eccentricity evolution in hierarchical triple systems with eccentric outer binaries Eccentricity evolution in hierarchical triple systems with eccentric outer binaries

Oct 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003mnras.345..340g&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 345, Issue 1, pp. 340-348.

Astronomy and Astrophysics

Astronomy

6

Stellar Dynamics, Celestial Mechanics, Binaries: General

Scientific paper

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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