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Kepler方程的共形不变性、Mei对称性与守恒量

刘洪伟 李玲飞 杨士通

物理学报2012,Vol.61Issue(20):13-17,5.
物理学报2012,Vol.61Issue(20):13-17,5.

Kepler方程的共形不变性、Mei对称性与守恒量

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

刘洪伟 1李玲飞 2杨士通3

作者信息

  • 1. 吉林大学数学研究所,长春130012 东北电力大学理学院,吉林132012
  • 2. 东北电力大学理学院,吉林132012
  • 3. 吉林大学数学研究所,长春130012
  • 折叠

摘要

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.

关键词

Kepler方程/共形不变性/Lie对称性/Mei对称性

Key words

Kepler equation/conformal invariance/Lie symmetry/Mei symmetry

分类

数理科学

引用本文复制引用

刘洪伟,李玲飞,杨士通..Kepler方程的共形不变性、Mei对称性与守恒量[J].物理学报,2012,61(20):13-17,5.

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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