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We derive analytical formulas for the wake and wave drag of a disturbancemoving arbitrarily at the air-water interface. We show that, provided aconstant velocity is reached in finite time, the unsteady surface displacementconverges to its well-known steady counterpart as given by Havelock's famousformula. Finally we assess, in a specific situation, to which extent one canrightfully use Havelock's steady wave drag formula for non-uniform motion(quasi-static). Such an approach can be used to legitimize or discredit anumber of studies which used steady wave drag formulas in unsteady situations.

Unsteady Wave Drag on a Disturbance Moving Along an Arbitrary Trajectory