Basic characteristics of navigators on maneuvers for avoiding collision were discussed in the first and second reports. In the present report I describe on an intereting conclusion reached by application of the theory of Catastrophe, and also, this report deals the mathematical analysis of the relative distance at beginning of maneuvers for avoiding collision and the distance of vision at sea. It is kinematically and geometrically formed the following equation concerning the relative distance ; [numerical formula] the following relation of the distance of vision X, was obtained as an empirical equation ; X=aR^b where R_0', θ_0' are non dementional values of the relative distance and the bearing rate of target ship, θ_p is angle of target ship to own ship, R is phiscal distance and k, a, b are respectivly constant based on a few assumption. There are a number of unclarified regarding the how and the when of navigator's judgement concerning avoiding collision, but it became clear his judgement by modeling of relative motion between surface ships and it agreed qualitatively with the observation results.
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