Kepler方程的共形不变性、Mei对称性与守恒量

物理学报

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刘洪伟, 李玲飞, 杨士通. 2012: Kepler方程的共形不变性、Mei对称性与守恒量, 物理学报, 61(20): 13-17.

引用本文:

刘洪伟, 李玲飞, 杨士通. 2012: Kepler方程的共形不变性、Mei对称性与守恒量, 物理学报, 61(20): 13-17.

2012: Conformal invariance, Mei symmetry and the conserved quantity of the Kepler equation, Acta Physica Sinica, 61(20): 13-17.

Citation:

2012: Conformal invariance, Mei symmetry and the conserved quantity of the Kepler equation, Acta Physica Sinica, 61(20): 13-17.

Conformal invariance, Mei symmetry and the conserved quantity of the Kepler equation

摘要: 研究Kepler系统在无限小变换下的共形不变性、Mei对称性．给出该系统与总能量、角动量不同的新守恒量．并在广义坐标和广义速度构成的空间中讨论这些守恒量的独立性．
- Kepler方程 /
- 共形不变性 /
- Lie对称性 /
- Mei对称性
Abstract: In this paper, the conformal invariance and Mei symmetry of Kepler system under infinitesimal transformations are discussed in detail, The new conserved quantity of the system is given, which is different from the total energy and the angular momentum. The independences of these conserved quantities are discussed in the space which is composed of general ordinates and general speed.