Collision Course for Objects Moving on a Spherical Manifold
Systems and Control
2023-12-18 v1 Systems and Control
Abstract
In this paper, we address the problem of predicting collision for objects moving on the surface of a spherical manifold. Toward this end, we develop the notion of a collision triangle on such manifolds. We use this to determine analytical conditions governing the speed ratios and direcions of motion of objects that lead to collisions on the sphere. We first develop these conditions for point objects and subsequently extend this to the case of circular patch shaped objects moving on the sphere.
Cite
@article{arxiv.2312.09562,
title = {Collision Course for Objects Moving on a Spherical Manifold},
author = {Animesh Chakravarthy and Debasish Ghose},
journal= {arXiv preprint arXiv:2312.09562},
year = {2023}
}
Comments
14 pages