Periodic oscillations of a satellite gyrostat with respect to the center of mass under the effect of magnetic and gravitational moments

Astronomy and Astrophysics – Astronomy

Scientific paper

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Center Of Mass, Gravitational Effects, Gyroscopic Stability, Magnetic Moments, Satellite Attitude Control, Satellite Rotation, Astrodynamics, Circular Orbits, Differential Equations, Geomagnetism, Roots Of Equations

Scientific paper

An analysis is made of the rotational motion in circular orbit of a satellite gyrostat with a permanent magnet under the effect of gravitational and magnetic moments in the earth's magnetic field. This motion is described by a system of sixth-order ordinary differential equations with periodic coefficients. Analytical and numerical methods are used to obtain symmetric periodic solutions to this system which are close to periodic solutions of a corresponding second-order degenerate system. On near-polar orbits, the motions described by such solutions can be used to realize three-axis magnetic attitude control.

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