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Abstract
The interaction between ocean current with sea waves plays an important role in the determination of the steady wave forces acting in a floating system and, in the limit when the velocity is small, an exact formula obtained [J Fluid Mech. 272 (1994) 147; J Fluid Mech. 313 (1996) 39], relates the steady wave forces with the standard drift forces in the seakeeping problems. This result is applied here, in conjunction to Newman's approximation, to express the first order influence of wave-current interaction in the second order low frequency wave force spectrum used in the study of the slow drift oscillation of a floating system.
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