Institute of Astronomy

Analytic Orbit Propagation for Transiting Circumbinary Planets

SpeakerTalk DateTalk Series
Nikolaos Georgakarakos26 July 2016Binary Stars Talks


We present an analytical framework that 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 the short period evolution of the system, while octupole secular theory is applied to describe its long term behaviour. A post Newtonian correction for the stellar orbit is also included.

Our analytical estimates are tested against results from numerical integrations of the full equations of motion. The analytical model is then applied to investigate the dynamical history of some of the circumbinary planetary systems discovered by NASA’s Kepler spacecraft.