Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976acaau...3..685s&link_type=abstract
Acta Astronautica, vol. 3, Sept.-Oct. 1976, p. 685-713. Research sponsored by the Consiglio Nazionale delle Ricerche.
Astronomy and Astrophysics
Astronomy
Astrodynamics, Flexible Bodies, Gravitational Fields, Satellite Rotation, Spacecraft Stability, Equations Of Motion, Momentum Theory, Spin Reduction
Scientific paper
The paper deals with the general equations of a flexible spacecraft in a gravitational field. The motion of a generic point of the body is described as the superposition of a rigid motion plus a combination of structural modes. The general equations for the motion of a particle of the body are written; as a consequence, the equations of momentum, and of moment of momentum are derived. All the terms appearing in such equations are very general; in particular, gravitational torques include the effect of flexural deformations and of higher harmonics of the gravitational field. Similarly, the equations for the generic vibration mode amplitude include all the above effects. Stability of the motion around a given configuration is studied, for both nonspinning, and for spinning satellites. Numerical examples complete the work.
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