Movement of a satellite with low spin in the magnetic field of the earth

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Orbit Calculation, Orbital Mechanics, Planetary Magnetic Fields, Satellite Orbits, Bogoliubov Theory, Equations Of Motion, Floquet Theorem, Linear Systems, Magnetic Effects, Magnetic Moments, Nonlinear Systems, Orbital Elements, Polar Orbits

Scientific paper

The movement in the earth's magnetic field of a magnetized satellite around its center of gravity is investigated. The magnetic moment is of the order of 10 Amp sqm, and its direction is that of the principal axis of smallest inertia (Oz) of the satellite. The initial spin is low. The movement around the center of mass can be described if the angle between the angular moment and the axis Oz is small. The use of appropriate variables leads to a system of differential equations where the main part is a system of linear equations with periodic coefficients. The theory of Floquet enables a solution of the linear system; the application of the first order by Krilov-Bogolioubov approximation allows one to find the frequencies of the nonlinear system

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