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We generalize the Zermelo navigation problem and its solution on Riemannianmanifolds $(M, h)$ admitting a space dependence of a ship's speed$0<|u(x)|_h\leq1$ in the presence of a perturbation $\tilde{W}$ determined by astrong velocity vector field satisfying $|\tilde{W}(x)|_h=|u(x)|_h$, withapplication of Finsler metric of Kropina type.

A note on generalization of Zermelo navigation problem on Riemannian manifolds with strong perturbation