【摘要】 研究转动相对论系统动力学方程的代数结构，得到了完整保守转动相对论系统与特殊非完整转动相对论系统动力学方程具有Ｌｉｅ 代数结构；一般完整转动相对论系统、一般非完整转动相对论系统动力学方程具有Ｌｉｅ 容许代数结构·　并给出转动相对论系统动力学方程的Ｐｏｉｓｓｏｎ 积分更多还原

【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.更多还原