Merry-go-round and time-dependent symplectic forms
Symplectic Geometry
2026-01-06 v1 Mathematical Physics
Dynamical Systems
math.MP
Classical Physics
Abstract
In the merry-go-round fictitious forces are acting like centrifugal force and Coriolis force. Like the Lorentz force Coriolis force is velocity dependent and, following Arnold, can be modeled by twisting the symplectic form. If the merry-go-round is accelerated an additional fictitious force shows up, the Euler force. In this article we explain how one deals symplectically with the Euler force by considering time-dependent symplectic forms. It will turn out that to treat the Euler force one also needs time-dependent primitives of the time-dependent symplectic forms.
Cite
@article{arxiv.2601.02338,
title = {Merry-go-round and time-dependent symplectic forms},
author = {Urs Frauenfelder and Joa Weber},
journal= {arXiv preprint arXiv:2601.02338},
year = {2026}
}
Comments
17 pages, 1 figure