Greener Journal of Physics and Natural Sciences Vol. 3 (2), pp. 021-031, October 2017.
© 2017 Greener Journals
Manuscript Number: 101117147
Theoretical Matrix Study of Rigid Body Pseudo Translational Motion
Todor Kableshkov University of Transport, Sofia, Bulgaria.
In this paper, a pseudo translational motion of free asymmetrical rigid body to an absolute reference system is studied. A private kind of Theorem of change of generalized body impulse is formulated. This theorem is called Theorem of change of pseudo generalized body impulse. A private kind of Condensed Lagrange equations is formulated. These equations are called Condensed Lagrange equations for study of pseudo translational motion of free asymmetrical rigid body. Using that theorem and those equations, the pseudo translational motion of the rigid body is successfully studied. The paper is theoretical, but it gives a base for a number of applications. For example, these are investigations of the motion, stability and management of satellite. The other main application is free or forced small body vibrations. Moreover, the obtained formulas are appropriate for computer numerical integrations by contemporary mathematical programs.
Key words: rigid body, pseudo translational motion, generalized body impulse, condensed Lagrange equations.
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