Abstract:

The theory of rotational relativistic mechanics is discussed and the theory ofrelativistic analytical mechanics of the rotational systems is constructed. Therelativistic generalized kinetic energy function for the rotational systems  and the generalized acceleration energy function  are constructed, and furthermore, the Hamiltonprinciple and three kinds of D’Alembert principles are given For the systems withholonomic constraints, the relativistic Lagrange equation.Nielsen equation, Appellequation and Hamilton canonical equation of the rotational systems are constructed. For the systems with nonholonomic constraints. the relativistic Routh equation,Chaplygin equation. Nielsen equation and Appell equation of the rototional systenisare constructed, the relativistic Noether conservation law of the rotational systems aregiven too.

Key words: rotational systems, equation of motion, relativity, conservation law, analytical mechanics, variation principle, nonholonomic constraints