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Vessel Motions - Multiple Order

The high frequency response of the vessel reference point in local degree of freedom i to a Dean’s Stream Function wave when you nominate the Multiple Order option is defined by:

                       (1)

where:

       (2)

and:

• is the vessel RAO in degree of freedom i, which is a function of wave heading and wave frequency

•f is the surface elevation function as defined in the Deans Stream Wave - Theory (Eq.3)

• =

• is the vessel phase angle in degree of freedom i, which is also a function of θ­­h and .

Remaining symbols are as previously. This option gives a vessel response of order corresponding to the order of expansion of the Fourier Series.