变质量两体引力的运动常数、拉格朗日量和哈密顿量
Constant of motion, Lagrangian and Hamiltonian of the gravitational attraction of two bodies with variable mass
摘要：
本文讨论了变质量两体引力的拉格朗日量、哈密顿量和运动常数。相对坐标和质心坐标不分离，在质量较大的物体上选择参考系，可以将方程组简化为一维问题。然后，得到运动常数、拉格朗日量和哈密顿量。在空间位置-速度（$x,v$）中发现的轨迹与在空间位置-动量（$x,p$）中发现的轨迹在性质上是不同的。
英文摘要：
The Lagrangian, the Hamiltonian and the constant of motion of the gravitational attraction of two bodies when one of them has variable mass is considered. The relative and center of mass coordinates are not separated, and choosing the reference system in the body with much higher mass, it is possible to reduce the system of equations to 1-D problem. Then, a constant of motion, the Lagrangian, and the Hamiltonian are obtained. The trajectories found in the space position-velocity,($x,v$), are qualitatively different from those on the space position-momentum,($x,p$).
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