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American Astronomical Society, Astrophysical Journal, 2(802), p. 94, 2015

DOI: 10.1088/0004-637x/802/2/94

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Analytic orbit propagation for transiting circumbinary planets

Journal article published in 2015 by Nikolaos Georgakarakos, Siegfried Eggl ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

The herein presented analytical framework fully describes the motion of coplanar systems consisting of a stellar binary and a planet orbiting both stars on orbital as well as secular timescales. Perturbations of the Runge-Lenz vector are used to derive short period evolution of the system, while octupole secular theory is applied to describe its long term behaviour. A post Newtonian correction on the stellar orbit is included. The planetary orbit is initially circular and the theory developed here assumes that the planetary eccentricity remains relatively small (e_2