2 papers
math-ph2025
Rotation angles of a rotating disc as the holonomy of the Hopf fibration
Takuya Matsumoto
We address the fundamental question of how rotation angles arise in classical rigid body motion from a geometric viewpoint. As a fundamental kinematical setting, we consider a rota…
math-ph2025
Rotation angles of a rotating disc -- A toy model exhibiting the geometric phase --
Takuya Matsumoto, Hiroki Takada, Osami Yasukura
In this paper, we consider a simple kinematic model, which is a rotating disc on the edge of another fixed disc without slipping, and study the rotation angle of the rotating disc.…