A note on time-optimal paths on perturbed spheroid
Differential Geometry
2019-03-25 v1 Optimization and Control
Abstract
We consider the Zermelo navigation problem on the ellipsoid of revolution (spheroid) in the presence of a perturbation determined by a mild velocity vector field, , with application of Finsler metric of Randers type in the context of the corresponding optimal control represented by a time-efficient ship's heading (steering direction). As the example we present the solutions to the problem on an oblate ellipsoid with acting infinitesimal rotation.
Cite
@article{arxiv.1602.00167,
title = {A note on time-optimal paths on perturbed spheroid},
author = {Piotr Kopacz},
journal= {arXiv preprint arXiv:1602.00167},
year = {2019}
}
Comments
16 pages, 20 figures