A generalized mathematical model of an unguided spacecraft that carries an elastic body of variable geometry (a deployable ring-shaped antenna) is constructed. Its dynamics is simulated numerically
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V. V. Beletskii, Motion of an Artificial Satellite about Its Center of Mass, NASA TT F-429, Washington (1966).
V. N. Branets and I. P. Shmyglevskii, Quaternions in Problems of Rigid-Body Orientation [in Russian], Nauka, Moscow (1973).
J. Wittenburg, Dynamics of Systems of Rigid Bodies, B. G. Teubner, Stuttgart (1997).
A. I. Lurie, Analytical Mechanics, Springer, Berlin–New York (2002).
S. P. Timoshenko, Vibrations in Engineering [in Russian], Fizmatgiz, Moscow (1959).
K. V. Avramov, C. Pierre, and N. V. Shyryaeva, “Nonlinear equations of flexural–torsional oscillations of rotating beams with arbitrary cross-section,” Int. Appl. Mech., 44, No. 5, 582–589 (2008).
V. B. Larin, “On stabilization of systems with delay,” Int. Appl. Mech., 44, No. 10, 1148–1160 (2008).
A. Prokić and D. Lukić, “Dynamic behavior of braced thin-walled beams,” Int. Appl. Mech., 43, No. 11, 1290–1303 (2007).
T. V. Zavrazhina, “Influence of the flexibility of links on the dynamics of a multilink robot manipulator,” Int. Appl. Mech., 43, No. 5, 577–585 (2007).
A. E. Zakrzhevskii and A. V. Pirozhenko, “Motion parameters of an electrodynamic tether in orbit,” Int. Appl. Mech., 43, No. 3, 335–343 (2007).
A. E. Zakrzhevskii, “Slewing of flexible spacecraft with minimal relative flexible acceleration,” J. Guid. Contr. Dynam., 31, No. 3, May–June, 563–570 (2008), DOI: 10.2514/1.32215.
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Translated from Prikladnaya Mekhanika, Vol. 46, No. 6, pp. 123–136, June 2010.
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Zakrzhevskii, A.E., Khoroshilov, V.S. Dynamics of the orbital deployment of an elastic ring-shaped antenna. Int Appl Mech 46, 718–729 (2010). https://doi.org/10.1007/s10778-010-0360-y
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DOI: https://doi.org/10.1007/s10778-010-0360-y