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Equations of motion for maneuvering flexible spacecraft. (English) Zbl 0634.70026

Summary: This paper is concerned with the derivation of the equations of motion for maneuvering flexible spacecraft both in orbit and in an Earth-based laboratory. The structure is assumed to undergo large rigid-body maneuvers and small elastic deformations. A perturbation approach is presented in which the quantities defining the rigid-body maneuver are regarded as the unperturbed motion and the elastic motions and deviations from the rigid-body motions are regarded as the perturbed motion. The perturbation equations are linear, non-self-adjoint, and with time- dependent coefficients. A maneuver force distribution exciting the least amount of elastic deformation of the spacecraft is developed. Numerical results highlight the vibration caused by rotational maneuvers.

MSC:

70M20 Orbital mechanics
70B15 Kinematics of mechanisms and robots
70-08 Computational methods for problems pertaining to mechanics of particles and systems
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