The General Equilibria of a Spinning Satellite in a Circular Orbit

Details The General Equilibria of a Spinning Satellite in a Circular Orbit The General Equilibria of a Spinning Satellite in a Circular Orbit

Nov 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972cemec...6..278s&link_type=abstract

Celestial Mechanics, Volume 6, Issue 3, pp.278-293

Computer Science

Scientific paper

Let a rigid satellite move in a circular orbit about a spherically symmetric central body, taking into account only the main term of the gravitational torque. We shall investigate and find all solutions of the following problem: Let the satellite be permitted to spin about an axis that is fixed in the orbit frame; the satellite need not be symmetric, the spin not uniform, and the spin axis not a principal axis of inertia. The complete discussion of this type of spin reveals that the cases found by Lagrange and by Pringle - and the well-known spin about a principal axis of inertia orthogonal to the orbit plane — are essentially the only ones possible; the only further (degenerate) case is uniform spin of a two-dimensional, not necessarily symmetric satellite about certain axes that are orthogonal to the plane containing the body and to the orbit of the satellite around the central body.

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