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Resonances in Multiple Planetary Systems

Resonances in multiple planetary systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2004 Austria English Publisher:Springer Science and Business Media LLCJournal:Celestial Mechanics and Dynamical Astronomy, volume 90, pages 43-50 (issn: 0923-2958, eissn: 1572-9478,

Authors: Bálint Érdi; Rudolf Dvorak; Elke Pilat-Lohinger; F. Freistetter; Barbara Funk;

doi: 10.1007/s10569-004-0516-3

Resonances in Multiple Planetary Systems

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Abstract

The authors investigate the dynamical stability of real extra-solar two-planet planetary systems HD 74156, HD 38529, HD 168443 and HD 169830. The reasons to choose these planets are: (a) they were not analyzed from the dynamical point of view before; (b) the two discovered planets of each system are far away from mean motion resonance; (c) the regions in-between may allow additional planets. The dynamical model used is the restricted four-body problem consisting of the star, two planets and mass-less test planets (in the same plane or in another experiment on inclined orbits). Two methods of establishing the dynamical stability are applied: (i) long-term (years) numerical integration; (ii) chaos indicators, i.e. relative Lyapunov indicators. The results obtained are discussed.

Country

Austria

Related Organizations

University of Vienna
Austria
Eötvös Loránd University
Hungary

Keywords

Stability for nonlinear problems in mechanics, resonances, Lyapunov indicators, multiple exoplanetary systems, Celestial mechanics, chaotic motion, four-body problem, 103004 Astrophysics, 103004 Astrophysik, \(n\)-body problems

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