Classes of Families of Generalized Periodic Solutions to the Beletsky Equation

Details Classes of Families of Generalized Periodic Solutions to the Beletsky Equation Classes of Families of Generalized Periodic Solutions to the Beletsky Equation

Apr 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..88..325b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 88, Issue 4, p. 325-341 (2004).

Astronomy and Astrophysics

Astronomy

2

Critical Values, Cusps, Periodic Solutions, Rotation Number, Rotation Of A Satellite, Stability Regions

Scientific paper

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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