Mathematical model of the dynamics of a big space structure

1Delamoure, VP, 2Khramov, DA
1Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Dnipropetrovsk, Ukraine
2Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine, Dnipropetrovsk, Ukraine
Kosm. nauka tehnol. 1998, 4 ;(1):83–86
https://doi.org/10.15407/knit1998.01.083
Section: Spacecraft Dynamics and Control
Publication Language: Russian
Abstract: 
We propose a new approach to the mathematical description of the dynamics of a large space structure as a deformable body. The concept of kinematic parameters as applied to the motion of deformable body is proposed. The finite velocity of the propagation of mechanical interaction is taken into account. The three-dimensional model of dynamics is substituted by equivalent four-dimensional model of statics, and the equilibrium equations of forces and torques are given for the latter model.
Keywords: kinematic parameters, mathematical model, spacecraft control
References: 
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4.  Haug E. Large scale computational issues in the dynanics of large space structures. Space-New Commun. Opportun. Proc. 34th Annu AAS Int. Conf., Houston, Tex., Nov. 3—5, 1987, P. 319—326 (San Diego (Calif.), 1989).