Email this article 
Resonant rotations of a dynamically symmetrical satellite with a ball damper in a circular orbit
- Authors: Amel’kin N.I.1
-
Affiliations:
- Moscow Institute of Physics and Technology
- Issue: No 3 (2024)
- Pages: 112–135
- Section: Articles
- URL: https://jdigitaldiagnostics.com/1026-3519/article/view/673060
- DOI: https://doi.org/10.31857/S1026351924030082
- EDN: https://elibrary.ru/uhyfqf
- ID: 673060
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
N. I. Amel’kin
Moscow Institute of Physics and Technology
Author for correspondence.
Email: namelkin@mail.ru
Russian Federation, Moscow
References
- 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).
Supplementary files
