标题： 引力场矩的恒星动力学简化描述 显示英文标题

标题： Reduced Description of Stellar Dynamics by Moments of Gravitation Field

摘要： 由于非相对论引力系统作用量中，标量势作为引力场（GF）的广义坐标缺少时间导数，因此无法应用哈密顿方法来描述GF力学。 在本文中，提出了一种基于连续性方程和最小作用原理的GF广义坐标的变换。 引入了一个势矢量，类似于电磁场哈密顿规范的固定。 这种变换使得计算哈密顿函数成为可能，消除了Jeans理论（Jeans欺骗）的数学难题，并允许使用统计力学方法构建GF的动力学理论。 显示英文摘要

摘要： Because of absence of time derivatives from scalar potential as a generalized coordinate of gravitation field (GF) in action of nonrelativistic gravitating system, application of the Hamilton method for description of GF mechanics was impossible. In the paper a transformation of the generalized coordinate of GF, that is based on continuity equation and minimal action principle, is proposed. A potential vector is introduced that is similar to fixing of Hamilton gauge of the electromagnetic field. This transformation gives possibility of the calculation a Hamilton function, removes mathematical troubles of the Jeans theory (Jeans swindle) and allows to construct kinetic theory of GF using statistical mechanics methods.