Classification of Trajectories in a Two-planet Exosystem Using the Generalized Three-body Problem

Abstract We deploy the theory of generalized three-body problem to describe an exosystem composed a host star, transiting Jupiter-sized exoplanet, and Earth-sized exoplanet. By performing thorough systematic orbit classification we map large section phase space determine final states In particular, manage classify initial conditions perturber into several categories such as bounded regular or chaotic motion, collision, escaping motion. Bounded motion corresponds regions in which planet would be stable. our computations, use realistic values involved parameters corresponding real observable exosystems. Our analysis provides important information on how mass star well Jupiter size affects orbital dynamics