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On the existence of doubly symmetric "Schubart-like" periodic orbits
Author(s) -
Regina Martínez
Publication year - 2012
Publication title -
discrete and continuous dynamical systems - b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2012.17.943
Subject(s) - gravitational singularity , periodic orbits , class (philosophy) , hamiltonian (control theory) , hamiltonian system , physics , gravitation , mathematical physics , classical mechanics , mathematics , mathematical analysis , pure mathematics , computer science , mathematical optimization , artificial intelligence
We give sufficient conditions to ensure the existence of symmetrical periodic orbits for a class of Hamiltonian systems having some singularities. The results are applied to different subproblems of the gravitational $n$-body problem where singularities appear due to collisions.

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