ShipCalculators.com

Encounter Frequency

Wave-encounter frequency seen by a moving ship: ω_e = ω − (ω²·V·cos μ)/g.

Weather
Loading calculator…

Formula, assumptions, and limits

ωe=ωω2Vcosμg\omega_e = \omega - \frac{\omega^2 V \cos \mu}{g}
SymbolMeaningUnit
ωωWave frequency (absolute)rad/s
VVShip speedm/s
μμAngle between heading and wave direction°
ωe\omega_eEncounter frequencyrad/s

Source: Lloyd (1998) - Seakeeping: Ship Behaviour in Rough Weather

In short

Wave-encounter frequency seen by a moving ship: \u03c9_e = \u03c9 \u2212 (\u03c9\u00b2\u00b7V\u00b7cos \u03bc)/g.

Learn the theory Seakeeping: Ship Performance in Waves