Continuation and stability deduction of resonant periodic orbits in three dimensional systems

Show simple item record Antoniadou, Kyriaki Voyatzis, George Varvoglis, Harry 2014-10-06T20:24:11Z 2014-10-06T20:24:11Z 2014-09-02
dc.identifier.isbn 978-960-8475-22-9
dc.description.abstract In dynamical systems of few degrees of freedom, periodic solutions consist the backbone of the phase space and the determination and computation of their stability is crucial for understanding the global dynamics. In this paper we study the classical three body problem in three dimensions and use its dynamics to assess the long-term evolution of extrasolar systems. We compute periodic orbits, which correspond to exact resonant motion, and determine their linear stability. By computing maps of dynamical stability we show that stable periodic orbits are surrounded in phase space with regular motion even in systems with more than two degrees of freedom, while chaos is apparent close to unstable ones. Therefore, families of stable periodic orbits, indeed, consist backbones of the stability domains in phase space. en_US
dc.description.sponsorship This research has been co-financed by the European Union (European Social Fund - ESF) and Greek national funds through the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF) - Research Funding Program: Thales. Investing in knowledge society through the European Social Fund. en_US
dc.language.iso en en_US
dc.publisher AMCL/TUC en_US
dc.subject periodic orbits en_US
dc.subject horizontal and vertical stability en_US
dc.subject mean motion resonance en_US
dc.title Continuation and stability deduction of resonant periodic orbits in three dimensional systems en_US
dc.type Article en_US

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  • NumAn2014 Proceedings
    Proceedings of the 6th International Conference on Numerical Analysis (NumAn2014)

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