April  2000, 6(2): 293-297. doi: 10.3934/dcds.2000.6.293

Qualitative analysis of periodic oscillations of an earth satellite with magnetic attitude stabilization

1. 

Transmag Research Institute, Academy of Sciences of Ukraine, 49005 Dnepropetrovsk, Piesarzhevsky 5, Ukraine

2. 

Mathematics Department, University of Nevada, Reno, Reno, NV 89511, United States

Received  May 1999 Revised  September 1999 Published  January 2000

The equation of motion of a magnetically stabilized satellite in the plane of a circular polar orbit is studied through qualitative methods. Sufficient uniqueness conditions and bilateral bounds for odd periodic solutions are found. A solution with the largest amplitude is indicated and a criterion for its stability is obtained.
Citation: Alexandr A. Zevin, Mark A. Pinsky. Qualitative analysis of periodic oscillations of an earth satellite with magnetic attitude stabilization. Discrete & Continuous Dynamical Systems - A, 2000, 6 (2) : 293-297. doi: 10.3934/dcds.2000.6.293
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