曲率对动力学的影响
Effects of Curvature on Dynamics
摘要：
本文讨论了当一个物理系统在弯曲空间中作非线性运动时，曲率对动力学的影响。这些效应提供了一种方法来测量曲率的空间本质上没有提到高维空间。两个有趣的例子，傅科摆和近日点移动的行星轨道，提出了一个简单的几何方法。一个纸模型，看到近日点移动。
英文摘要：
In this article we discuss the effect of curvature on dynamics when a physical system moves adiabatically in a curved space. These effects give a way to measure the curvature of the space intrinsically without referring to higher dimensional space. Two interesting examples, the Foucault Pendulum and the perihelion shift of planetary orbits, are presented in a simple geometric way. A paper model is presented to see the perihelion shift.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
