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The Dynamics of Small Satellites with a Three-Axial Gravitational Damper

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Abstract

The questions of the dynamics of the angular motion of nanosatellites with gravitational dampers are considered. The damper is a solid body rotating in a spherical cavity with a viscous liquid filling and creating internal friction with the dissipation of the kinetic energy of the angular motion. Unlike M.A. Lavrentiev’s classical models of similar viscous dampers using with spherical dynamic symmetry of a body-damper, in this work the body-damper has a central triaxial ellipsoid of inertia, which increases the efficiency of interaction with an external gravitational field. This makes it possible to use almost any autonomous nanosatellite assembly as such an internal body-damper, placing it in a sealed spherical shell inside a spherical cavity with a viscous liquid in the center of mass of the main body–satellite body. The presence of a three-axis inertia tensor of the damper body changes and complicates the mathematical model of the angular motion in comparison with the classical one, which can be considered as a certain generalization and development of research in this area.

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Funding

The work was supported by the Russian Science Foundation, project no. 19-19-00085 A.

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  1. Samara National Research University, 443086, Samara, Russia

    V. S. Aslanov & A. V. Doroshin

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  1. V. S. Aslanov
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  2. A. V. Doroshin
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Correspondence to V. S. Aslanov.

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In loving memory of L.D. Akulenko

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Aslanov, V.S., Doroshin, A.V. The Dynamics of Small Satellites with a Three-Axial Gravitational Damper. Mech. Solids 58, 2884–2893 (2023). https://doi.org/10.3103/S0025654423080034

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