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Wave Encounter Period - Ship Motion Input

Encounter period Te experienced by a ship at speed V making heading μ relative to waves of period T_w - a governing parameter for resonant rolling.

EncounterHeadingSeakeeping
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Formula, assumptions, and limits

ωe=ωwωw2Vcosμg\omega_e = \omega_w - \frac{\omega_w^2 V \cos\mu}{g}
SymbolMeaningUnit
ωw\omega_wWave angular frequencyrad/s
VVShip speedm/s
μ\muHeading relative to wavesrad

Source: Lloyd A.R.J.M. - Seakeeping (1989)

In short

Encounter period Te experienced by a ship at speed V making heading \u03bc relative to waves of period T_w - a governing parameter for resonant rolling.

Learn the theory Seakeeping: Ship Performance in Waves