Year: 2023
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Chakravarthy, Animesh, Ghose, Debasish
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4389910916