Spatial resonant rotations of a three-axis satellite with a ball damper in a circular orbit

N. I. Amel’kin; Амелькин Н. И.

doi:10.31857/S1026351925030014

Spatial resonant rotations of a three-axis satellite with a ball damper in a circular orbit

作者: Amel’kin N.I.¹
隶属关系:
1. Moscow Institute of Physics and Technology
期: 编号 3 (2025)
页面: 3-22
栏目: Articles
URL: https://medjrf.com/1026-3519/article/view/687406
DOI: https://doi.org/10.31857/S1026351925030014
EDN: https://elibrary.ru/AYYNEC
ID: 687406

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详细

For a three-axis satellite with a ball damper, resonant rotations in the central gravitational field are studied. The equations of the rotational motion of a satellite in an elliptical orbit are obtained. For the case of a circular orbit, spatial resonance rotations of 1 : 1 and 2 : 1 were investigated using the averaging method.

关键词

gravitational field, satellite with ball damper, averaging method, evolutionary equations, resonant rotations

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作者简介

N. Amel’kin

Moscow Institute of Physics and Technology

编辑信件的主要联系方式.
Email: namelkin@mail.ru
俄罗斯联邦, Moscow

参考

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Markeev A.P. Linear Hamiltonian systems and some problems about the stability of the satellite motion relative to the center of mass. M. Izhevsk: Research Center “Regular and chaotic dynamics”, 2009. 396 p. [in Russian].
Chernous’ko F.L. Resonance phenomena in the motion of the satellite relative to the center of mass // J. Comput. Math. Math. Phys. 1963. V. 3. № 3. P. 528–538 [in Russian].
Amel’kin N.I., Kholoshchak V.V. Evolution of the rotational movement of a dynamically symmetric satellite with inner damping in a circular orbit // Mech. Solids. 2019. V. 54. № 2. P. 179–189. https://doi.org/10.3103/S0025654419030014
Amel’kin N.I., Kholoshchak V.V. Rotational motion of a non-symmetrical satellite with a damper in a circular orbit // Mech. Solids. 2019. V. 54. № 2. P. 190–203. https://doi.org/10.3103/S0025654419030026
Amel’kin N.I. Evolution of rotational motion of the planet Earth under the influence of internal dissipative forces // Cosmic Research. 2023. V. 61. № 6. P. 510–521. https://doi.org/10.1134/S001095252370051X
Amel’kin N.I. On the plane resonant rotations of a satellite with a spherical damper in an elliptical orbit // Mech. Solids. 2022. V. 57. № 7. P. 1644–1656. https://doi.org/10.31857/S003282352203002X
Amel’kin N.I. Resonant rotations of a dynamically symmetric satellite with a spherical damper in a circular orbit // Mech. Solids. 2024. V. 59. № 3. P. 1266–1282. https://doi.org/10.1134/S0025654424602908X
Bogolyubov N.N., Mitropol’skii Yu.A. Asymptotic Methods for Theory of Nonlinear Oscillations. M.: Nauka, 1974 [in Russian].
Zhuravlev V.Ph., Klimov D.M. Applied Methods for Oscillations Theory. M.: Nauka, 1988 [in Russian].
Tikhonov A.N. Systems of differential equations containing small parameters at derivatives // Math. collection. 1952. V. 73. № 3. P. 575–586 [in Russian].