Effects of Curvature on Dynamics
arXiv:1012.0432
Abstract
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.
arXiv commentauthor email address and some typos corrected., 13 pages, 5 figures, 1 paper model