Spatial oscillations of a gravity-gradient elastic satellite. I - Stability about equilibrium

Details Spatial oscillations of a gravity-gradient elastic satellite. I - Stability about equilibrium Spatial oscillations of a gravity-gradient elastic satellite. I - Stability about equilibrium

Nov 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976kosis..14..944p&link_type=abstract

Kosmicheskie Issledovaniia, vol. 14, Nov.-Dec. 1976, p. 944-950. In Russian.

Astronomy and Astrophysics

Astronomy

Astrodynamics, Elastic Bodies, Gravity Gradient Satellites, Orbital Mechanics, Satellite Perturbation, Circular Orbits, Integral Equations, Partial Differential Equations, Tensor Analysis

Scientific paper

The spatial oscillations of a gravity-oriented satellite having elastic elements are considered, and sufficient conditions for stability of steady motion in a circular orbit are derived, valid for elastic satellites of arbitrary configuration. It is shown that the equations of the small oscillations of elastic objects whose inertia tensor in a first approximation retains its diagonal form relative to the main axes of the undeformed state, as in the case of a rigid satellite, decompose into mutually independent motions in and outside of the orbital plane.

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