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Conformal invariance, Mei symmetry and the conserved quantity of the Kepler equation
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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.
Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences
Title: Conformal invariance, Mei symmetry and the conserved quantity of the Kepler equation
Description:
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.
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