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On the Stabilization of the Regular Precessions of Satellites by Means of Magnetic Moments

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Abstract—

The stabilization of the regular precessions of a dynamically symmetric satellite, whose center of mass moves in a circular orbit in the gravitational and magnetic fields of the Earth, is considered. Control moments are formed due to the interaction of the satellite’s own dipole moment with the Earth’s magnetic field. The equations of motion linearized in the vicinity of regular precessions are linear time-varying systems. To solve stabilization problems, an approach is proposed and developed based on a reduction to time invariant systems of orders greater than the initial system. The controllability is investigated and effective stabilization algorithms are constructed.

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, 119192, Moscow, Russia

    V. M. Morozov & V. I. Kalenova

  2. Moscow State University, 119991, Moscow, Russia

    M. G. Rak

Authors
  1. V. M. Morozov
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  2. V. I. Kalenova
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  3. M. G. Rak
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Correspondence to V. M. Morozov or V. I. Kalenova.

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The authors declare that they have no conflict of interest.

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Translated by T. N. Sokolova

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Morozov, V.M., Kalenova, V.I. & Rak, M.G. On the Stabilization of the Regular Precessions of Satellites by Means of Magnetic Moments. Mech. Solids 56, 1486–1499 (2021). https://doi.org/10.3103/S0025654421080136

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