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About the Hill stability of extrasolar planets in stellar binary systems

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Babeş-Bolyai University, Kogălniceanu, nr. 1., Cluj-Napoca, 400084, Romania

    Ferenc Szenkovits

  2. Department of Mathematics and Informatics, Faculty of Business and Humanities, Sapientia University, Szabadság tér, 1, Miercurea-Ciuc, 530104, Romania

    Zoltán Makó

Authors
  1. Ferenc Szenkovits
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  2. Zoltán Makó
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Correspondence to Ferenc Szenkovits.

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Szenkovits, F., Makó, Z. About the Hill stability of extrasolar planets in stellar binary systems. Celest Mech Dyn Astr 101, 273–287 (2008). https://doi.org/10.1007/s10569-008-9144-7

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  • DOI: https://doi.org/10.1007/s10569-008-9144-7

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