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About the Hill stability of extrasolar planets in stellar binary systems
Authors:Ferenc Szenkovits  Zoltán Makó
Institution:(1) Department of Applied Mathematics, Babeş-Bolyai University, Kogălniceanu, nr. 1., Cluj-Napoca, 400084, Romania;(2) Department of Mathematics and Informatics, Faculty of Business and Humanities, Sapientia University, Szabadság tér, 1, Miercurea-Ciuc, 530104, Romania
Abstract:We use a three dimensional generalization of Szebehely’s invariant relation obtained by us (Makó 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 (γ Cephei Ab, Gliese 86 Ab, HD 41004 Ab and HD 41004 Bb) is investigated.
Keywords:Extrasolar planets  Elliptic restricted three-body problem  Hill stability  Planets in stellar binary systems
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