Attitude equilibria of dual spin satellites subject to gravitational torques ofn bodies |
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| Authors: | Madeleine Pascal |
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| Institution: | (1) Laboratoire de Mecanique Theorique, associé au C.N.R.S., Université Pierre et Marie Curie, 4 place Jussieu, 75230 Paris Cedex 05, France |
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| Abstract: | We consider the motion of a dual spin satellite placed in the gravitational field of n material points, assuming that the satellite has no influence on the motion of these points. The main bodies are located at the libration points of the classical n bodies problem. We investigate the set of relative equilibria of the satellite. As in the elementary case of a gyrostat attracted by a single point, we show that this problem is equivalent to find the extremum of a quadratic function. We obtain all possible equilibria of the satellite by solving two algebraic equations. Sufficient conditions of stability of these relative equilibria are given. |
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