In this note we study the motion of a particle confined to a moving surface, in other words, the geodesic motion where the surface is allowed to vary. We show that in the case of a rapidly vibrating surface, the differential geometry of a certain family of normal curves plays a role. Certain curvature terms appear in the averaged equations of motion.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics