Critical symmetric periodic orbits in the photogravitational restricted three-body problem (Q702131)

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scientific article; zbMATH DE number 2128532
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Critical symmetric periodic orbits in the photogravitational restricted three-body problem
scientific article; zbMATH DE number 2128532

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    Critical symmetric periodic orbits in the photogravitational restricted three-body problem (English)
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    17 January 2005
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    In this contribution, series of horizontally critical symmetric periodic orbits of the six basic families of the photogravitational restricted three body problem are determined and their vertical stability is computed. The study is restricted with the case where only the first primary is radiating. Basic results are compared to those of \textit{M. Hénon} and \textit{M. Guyot} [in G. E. O. Giacaglia (ed.), Periodic orbits, stability and resonances, Reidel, Dordrecht, 349--374 (1970; Zbl 0239.70005)] so as to study the effect of radiation to this kind of orbits. Numerical results are shown in 5 tables. The qualitative behavior is shown in 3 figures, which imagined in 32 graphics.
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    periodic orbits
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    stability
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    photogravitational problem
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