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arXiv physics/0703071physics.class-phphysics.gen-ph
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关于变质量两体引力的运动常数、拉格朗日量和哈密顿量(Gylden-Meshcherskii问题)

About the Constant of Motion, Lagrangian and Hamiltonian of the Gravitational Attraction of Two Bodies with Variable Mass (Gylden-Meshcherskii problem)

G. Lopez, E. M. Juarez

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。这是通过选择其中一个机构中的参考系来完成的,该机构允许将方程系统减少到1-D问题。在空间位置-速度(x,v)中发现的轨迹与空间位置-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. This is done by choosing the reference system in one of the bodies which allows to reduce the system of equations to 1-D problem. The trajectories found in the space position-velocity,(x,v), are qualitatively different from those on the space position-momentum,(x,p).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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