江西科学
江西科學
강서과학
JIANGXI SCIENCE
2012年
5期
569-571
,共3页
殷保祥%刘晓巍%李元成%徐超%宋子龙
慇保祥%劉曉巍%李元成%徐超%宋子龍
은보상%류효외%리원성%서초%송자룡
Kepler方程%Noether-Lie对称性%守恒量
Kepler方程%Noether-Lie對稱性%守恆量
Kepler방정%Noether-Lie대칭성%수항량
Kepler equation%Noether-Lie symmetry%Conserved quantity
研究Kepler方程的对称性与守恒量。给出Kepler方程的Noether-Lie对称性的定义和判据,以及由Noether-Lie对称性导出Noether守恒量和Hojman守恒量。
研究Kepler方程的對稱性與守恆量。給齣Kepler方程的Noether-Lie對稱性的定義和判據,以及由Noether-Lie對稱性導齣Noether守恆量和Hojman守恆量。
연구Kepler방정적대칭성여수항량。급출Kepler방정적Noether-Lie대칭성적정의화판거,이급유Noether-Lie대칭성도출Noether수항량화Hojman수항량。
The Noether-Lie symmetry and conserved quantities of the Kepler equation are studied. The Kepler equation, we obtain the Noether symmetry and the Lie symmetry for the equation and the conserved quantities deduced from them, then the definition and criterion for Noether-Lie symmetry of the Kepler equation are derived. Lastly,the Noether conserved quantity and the Hojman conserved quantity are deduced from the Noether-Lie symmetry.
