Stability of the conical precession of a dynamically symmetric rigid body

Details Stability of the conical precession of a dynamically symmetric rigid body Stability of the conical precession of a dynamically symmetric rigid body

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977sval....3..178m&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 3, July 1977, p. 333-336.) Soviet Astronomy Letters, vol. 3, July-Aug. 1977, p. 178-180

Astronomy and Astrophysics

Astronomy

Attitude Stability, Circular Orbits, Precession, Spacecraft Stability, Angular Velocity, Hamiltonian Functions, Rotary Stability, Satellite Rotation

Scientific paper

The stability of motion of a dynamically symmetric body in a circular orbit with respect to the mass center in a central Newtonian gravitational field is investigated. It is assumed that the ratio between the polar and equatorial moments of inertia is 4/3 and that the projection of the body's absolute angular velocity on its axis of symmetry is zero. It is proven that 'equilibrium configurations' of the body's axis of symmetry in the plane perpendicular to the velocity vector of its mass center are unstable.

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