论文标题
通过参考保护法来简化地球方程系统
Simplification of a System of Geodesic Equations by Reference to Conservation Laws
论文作者
论文摘要
本文旨在利用普遍的前提来确定根据变异的计算提出的微分方程的分析解决方案。我们从艾米·诺瑟（Emmy Noether）定理的声明中意识到了这个前提；观察到保守法律的每个制度也承认不变性的对称性。作为例证，在识别采取行动中相关的保护法时，明确计算和参与了GLOME的普通微分方程（O.D.E）的无限对称性。然后，总结得出的结论是对同一歧管分析该概念的进一步前景。
This paper is purposed to exploit prevalent premises for determining analytical solutions to differential equations formulated from the calculus of variations. we realize this premises from the statement of Emmy Noether's theorem; that every system in which a conservative law is observed also admits a symmetry of invariance. As an illustration, the infinitesimal symmetries for Ordinary Differential Equations (O.D.E's) of geodesics of the glome are explicitly computed and engaged following identification of a relevant conservation law in action. Further prospects for analysis of this concept over the same manifold are then presented summarily in conclusion.
