About the Hill stability of extrasolar planets in stellar binary systems

摘要

We use a three dimensional generalization of Szebehely's invariant relation obtained by us (Mako and Szenkovits, Celest. Mech. Dyn. Astron. 90, 51, 2004) in the elliptic restricted three-body problem, to establish more accurate criterion of the Hill stability. By using this criterion, the Hill stability of four extrasolar planets (gamma Cephei Ab, Gliese 86 Ab, HD 41004 Ab and HD 41004 Bb) is investigated.