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On the existence of periodic orbits in a nearly axisymmetric galaxy
Author(s) -
Caranicolas N.
Publication year - 1985
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113060106
Subject(s) - rotational symmetry , physics , galaxy , symmetry (geometry) , plane (geometry) , periodic orbits , polynomial , field (mathematics) , classical mechanics , degree (music) , stability (learning theory) , astrophysics , mathematical analysis , geometry , mechanics , mathematics , pure mathematics , acoustics , machine learning , computer science
Assuming that the potential field on the plane of symmetry of a nearly axisymmetric galaxy is a polynomial of the fourth degree, we study the conditions of existence and stability of the main types of periodic orbits. We verify the theoretical results by numerical calculations.