A New Approach in Plane Kinematics

Fuente: arXiv
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Auteur principal: Goessner, Stefan
Format: Preprint
Publié: 2026
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author Goessner, Stefan
author_facet Goessner, Stefan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_12733
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A New Approach in Plane Kinematics
Goessner, Stefan
Symplectic Geometry
Computational Geometry
70B99
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.
title A New Approach in Plane Kinematics
topic Symplectic Geometry
Computational Geometry
70B99
url https://arxiv.org/abs/2602.12733