A New Approach in Plane Kinematics
Symplectic Geometry
2026-02-16 v1 Computational Geometry
Abstract
The kinematics of particles and rigid bodies in the plane are investigated up to higher-order accelerations. Discussion of point trajectories leads from higher-order poles to higher-order Bresse circles of the moving plane. Symplectic geometry in vector space R^2 is used here as a new approach and leads to some new recursive vector formulas. This article is dedicated to the memory of Professor Pennestri.
Keywords
Cite
@article{arxiv.2602.12733,
title = {A New Approach in Plane Kinematics},
author = {Stefan Goessner},
journal= {arXiv preprint arXiv:2602.12733},
year = {2026}
}
Comments
23 pages, 6 figures