Classes of Families of Generalized Periodic Solutions to the Beletsky Equation |
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| Authors: | Alexander D Bruno Victor P Varin |
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| Institution: | (1) Mathematics Department, Keldysh Institute of Applied Mathematics, Miusscaja sq. 4, Moscow, 125047, Russia |
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| Abstract: | For the equation describing plane oscillations and rotations of a satellite, we consider families of symmetric generalized
periodic solutions with integral rotation number p. We give new confirmations of the hypothesis: there are only four classes of these families with topologically different
structures, namely, the classes of families of periodic solutions with p≥ 1, p= 0, p=−1, and p≤−2. Besides, we demonstrate that the vertices of cusps of these families are placed on some analytical curves, and the same
is true for the multiple intersections of these families with other families. |
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| Keywords: | critical values cusps periodic solutions rotation number rotation of a satellite stability regions |
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