Geodesic
Modelling of motion of the spacecraft with elastic elements
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2009), pp. 17-28

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The purpose of the article is receiption of mathematical model of motion of the complex elastic system. The normal modes and frequencies are searched by decomposition of vibrations on the modes of stationary elements of the system. It allows one to transform partial differential equations of motion in ordinary differential equations. The motion of a space craft which consists of elastic large size elements (solar panels) is modeled.
Keywords: complex elastic system, normal modes and requency, differential equation of motion, elastic spacecraft, solar panels, Reyleigh–Ritz method, principle of Hamilton–Ostrogradskii. 
@article{VUU_2009_2_a2,
     author = {M. V. Borisov and A. A. Avramenko},
     title = {Modelling of motion of the spacecraft with elastic elements},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {17--28},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_2_a2/}
}
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M. V. Borisov; A. A. Avramenko. Modelling of motion of the spacecraft with elastic elements. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2009), pp. 17-28. http://geodesic.mathdoc.fr/item/VUU_2009_2_a2/