A note on time-optimal paths on perturbed spheroid
Abstract
We consider the Zermelo navigation problem on the ellipsoid of revolution (spheroid) in the presence of a perturbation W determined by a mild velocity vector field, |W|<1, with application of Finsler metric of Randers type in the context of the corresponding optimal control represented by a time-efficient ship's heading (t) (steering direction). As the example we present the solutions to the problem on an oblate ellipsoid with acting infinitesimal rotation.
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