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

Alexandr A. Zevin; Mark A. Pinsky

doi:10.3934/dcds.2000.6.293

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2000, Volume 6, Issue 2: 293-297. Doi: 10.3934/dcds.2000.6.293

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

Alexandr A. Zevin^1, and
Mark A. Pinsky^2,

1.
Transmag Research Institute, Academy of Sciences of Ukraine, 49005 Dnepropetrovsk, Piesarzhevsky 5
2.
Mathematics Department, University of Nevada, Reno, Reno, NV 89511

Received: May 1999

Revised: September 1999

Published: April 2000

Abstract / Introduction Related Papers Cited by

Abstract

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.

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Mathematics Subject Classification: 70F15.

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