Approximate Noether symmetries

被引:24
|
作者
Govinder, KS [1 ]
Heil, TG
Uzer, T
机构
[1] Univ Natal, Dept Math & Appl Math, ZA-4041 Durban, South Africa
[2] Univ Georgia, Dept Phys & Astron, Athens, GA 30602 USA
[3] Georgia Inst Technol, Sch Phys, Atlanta, GA 30332 USA
关键词
D O I
10.1016/S0375-9601(98)00067-X
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a theory of approximate Noether symmetries, based on the concept of approximate infinitesimal point transformations. The theory is applied to the first-order perturbations of the orbit equations corresponding to Kepler's law and Hooke's law. The effect of the perturbations on the orbits are then discussed. (C) 1998 Elsevier Science B.V.
引用
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页码:127 / 131
页数:5
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