Abstract:
The paper considers the development, implementation and verification of a mathematical
model of a spacecraft with an arbitrary number of large flexible elements. The model of
the spacecraft is derived by using D'Alembert's principle and is written in generalized coordinates. The flexible elements can be attached to the satellite main body cantilever and
using 1DOF and 2DOF hinges. Due to the method used in the paper for deriving equations of motion, the proposed satellite model enables changing the number of flexible
elements and types of joints without rewriting the equations of motion in the symbolic
form. It ensures the model flexibility from the perspective of the software implementation.
Keywords:
satellite, mathematical model, system of flexible bodies, joint, D'Alembert's
principle, orbital motion, attitude motion, deformation, eigenmode, verification.
Citation:
M. Ovchinnikov, S. Tkachev, A. Shestoperov, “Mathematical model of satellite with arbitrary number of flexible appendages”, Mat. Model., 32:12 (2020), 14–28; Math. Models Comput. Simul., 13:4 (2021), 638–647
\Bibitem{OvcTkaShe20}
\by M.~Ovchinnikov, S.~Tkachev, A.~Shestoperov
\paper Mathematical model of satellite with arbitrary number of flexible appendages
\jour Mat. Model.
\yr 2020
\vol 32
\issue 12
\pages 14--28
\mathnet{http://mi.mathnet.ru/mm4240}
\crossref{https://doi.org/10.20948/mm-2020-12-02}
\transl
\jour Math. Models Comput. Simul.
\yr 2021
\vol 13
\issue 4
\pages 638--647
\crossref{https://doi.org/10.1134/S2070048221040190}
Linking options:
https://www.mathnet.ru/eng/mm4240
https://www.mathnet.ru/eng/mm/v32/i12/p14
This publication is cited in the following 2 articles:
Alexei Bormotov, Denis Orlov, “Investigation of Perturbations Arising from Temperature Shock with a Symmetrical Arrangement of Flexible Elements of a Small Spacecraft”, Symmetry, 15:7 (2023), 1331
S. Tkachev, A. Shestoperov, “An attitude C3 reference trajectory construction of the spacecraft”, Math. Models Comput. Simul., 14:3 (2022), 357–366
Citation in format AMSBIB
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