Physics
Scientific paper
Sep 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990kosis..28..643m&link_type=abstract
Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 28, Sept.-Oct. 1990, p. 643-654. In Russian.
Physics
Flexible Spacecraft, Gravitational Fields, Large Space Structures, Spacecraft Motion, Spacecraft Orbits, Differential Equations, Elastic Bodies, Equations Of Motion, Structural Vibration, Viscoelasticity
Scientific paper
The motion of a large space structure in a Keplerian orbit in a central Newtonian gravitational field is examined. A viscoelastic body which is dynamically symmetrical when not in a state of strain is used as a mechanical model of the structure. Deformations of the body consist in longitudinal vibrations along the axis of symmetry and flexural vibrations of the axis of symmetry itself. Differential equations describing the deformation of the body and its motion relative to the center of mass are obtained. The existence of a motion in the case of which the axis of symmetry is perpendicular to the orbit of the center of mass is demonstrated.
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