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The structure of the extended phase space of the Sitnikov problem
Author(s) -
Kovács T.,
Érdi B.
Publication year - 2007
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.200710799
Subject(s) - phase portrait , phase space , space (punctuation) , phase (matter) , connection (principal bundle) , physics , geometry , mathematics , computer science , quantum mechanics , bifurcation , nonlinear system , operating system
The extended phase space of the Sitnikov problem is studied by using a stroboscopic map and computing escape times. Comparisons of phase portraits and plots of escape times reveal the intrinsic connection between the geometry of the phase space and the dynamical behaviour of the system. Properties of the phase space are analysed both in the central regular region and far from it. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)