Pages 37-47
An adjoint variational principle for determination the wetted surface of planing ship considering gravitational effect is proposed based on a principle regardless of gravitational effect. A method of high aspect ratio approximation is investigated. A simple relation is obtained between the Froude number based on the wetted length in running condition and the one based on the still water length. The solution of wetted surface of planning plate agreed with experimental results, compared with the case regardless of gravitational effect.