A Calculation of Optimum Ship Route Using Theoretical Limit Speed in Waves

Abstract

Theoretical calculations are made for the nominal loss of speed due to resistance in waves and for the deliberate loss of speed for the purpose of avoidance of danger. Using these results, the optimum ship route is calculated on the basis of Pontryagin's maximum principle. A few examples of the calculated trajectories and speeds are presented. Also, the propriety of using Pontryagin's maximum principle to calculate the optimum ship route is discussed.