A New Approach in Plane Kinematics

2026/02/13 by Stefan Goessner · 1 voice
Computer Science · Mathematics · #cs.CG #math.SG

paper · pdf · doi:10.48550/arxiv.2602.12733

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 R² 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.

Discussions

• Stefan Goessner: A New Approach in Plane Kinematics https://arxiv.org/abs/2602.12733 https://arxiv.org/pdf/2602.12733 https://arxiv.org/html/2602.12733 [bsky, 0 points, 0 comments]

Related

• Rotations in classical mechanics using geometric algebra
• Some new theorems in plane geometry
• Polydimensional Supersymmetric Principles
• Rigid body kinematics in an intuitive group-theoretic approach, as completely as possible: Part I Rotational phenomena
• New Coordinate Systems and Potentials on a Plane Providing Unusual Intergral of Motion