Enviar artigo por via de e-mail Resonant rotations of a dynamically symmetrical satellite with a ball damper in a circular orbit
- Autores: Amel’kin N.I.1
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Afiliações:
- Moscow Institute of Physics and Technology
- Edição: Nº 3 (2024)
- Páginas: 112–135
- Seção: Articles
- URL: https://journals.rcsi.science/1026-3519/article/view/273722
- DOI: https://doi.org/10.31857/S1026351924030082
- EDN: https://elibrary.ru/uhyfqf
- ID: 273722
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Resumo
For a satellite with a ball damper, the effect of internal dissipation on rotational motion in the central gravitational field is studied. The equations of rotational motion of a dynamically symmetric satellite with a spherical damper in an elliptical orbit are obtained. For the case of a circular orbit, the spatial resonance rotations of a dynamically symmetric satellite with a ball damper were investigated using the averaging method.
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Sobre autores
N. Amel’kin
Moscow Institute of Physics and Technology
Autor responsável pela correspondência
Email: namelkin@mail.ru
Rússia, Moscow
Bibliografia
- Amel’kin N.I. The asymptotic properties of the motions of satellites in a central field due to internal dissipation // J. Appl. Math. Mech. 2011. V. 75. № 2. P. 140–153. https://doi.org/10.1016/j.jappmathmech.2011.05.003
- Amel’kin N.I., Kholoshchak V.V. Stability of the steady rotations of a satellite with internal damping in a central gravitational field // J. Appl. Math. Mech. 2017. V. 81. № 2. P. 85–94. https://doi.org/10.1016/j.jappmathmech.2017.08.002
- Amel’kin N.I., Kholoshchak V.V. Steady rotations of a satellite with internal elastic and dissipative forces // J. Appl. Math. Mech. 2017. V. 81. № 6. P. 431–441. https://doi.org/10.1016/j.jappmathmech.2018.03.011
- 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 the rotational motion of a planet in a circular orbit under the influence of internal elastic and dissipative forces // Mech. Solids. 2020. V. 55. № 2. P. 234–247. https://doi.org/10.3103/S0025654420020053
- Amel’kin N.I. Evolution of rotational motion of the planet Earth under the influence of internal dissipative forces // Cosmic Res. 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
- Beletskii V.V. Motion of a Satellite with Respect to Center of Mass in Gravitational Field. Moscow: Izd. MGU, 1975 (in Russian).
- Bogolyubov N.N., Mitropol’skii Yu.A. Asymptotic Methods for Theory of Nonlinear Oscillations. Moscow: Nauka, 1974 (in Russian).
- Zhuravlev V.Ph., Klimov D.M. Applied Methods for Oscillations Theory. Moscow: 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).
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Fig. 1. Euler angles.
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Fig. 2 (beginning). Beletsky–Chernousko variables.
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Fig. 2 (end). Beletsky–Chernousko variables.
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Fig. 3. Phase trajectories.
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Fig. 4. Resonant rotations 2:1.
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Fig. 5. Resonant rotations 1:1.
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