ALGEBRAIC STRUCTURES AND POISSON INTEGRALS OF RELATIVISTIC DYNAMICAL EQUATIONS FOR ROTATIONAL SYSTEMS

Abstract

Abstract: The algebraic structures of the dynamical equations for the rotational relativistic systems are studied. It is found that the dynamical equations of holonomic conservative rotational relativistic systems and the special nonholonomic rotational relativistic systems have Lie’s algebraic structure, and the dynamical equations of the general holonomic rotational relativistic systems and the general nonholonomic rotational relativistic systems have Lie admitted algebraic structure. At last the Poisson integrals of the dynamical equations for the rotational relativistic systems are given.

Key words: rotational systems, relativity, analytic mechanics, equation of motion, algebraic structure, Poisson integral

2010 MSC Number:

Fu Jingli;Chen Xiangwei;Luo Shaokai. ALGEBRAIC STRUCTURES AND POISSON INTEGRALS OF RELATIVISTIC DYNAMICAL EQUATIONS FOR ROTATIONAL SYSTEMS. Applied Mathematics and Mechanics (English Edition), 1999, 20(11): 1266-1274.

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