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Encounter Spectrum - Peak Frequency

Peak encounter frequency ω_e-peak for a ship at speed V in seas of peak frequency ω_p, heading μ - basis for heading-optimisation to avoid resonance.

EncounterSpectrumFrequency
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Formula, assumptions, and limits

ωe,peak=ωpωp2Vcosμ/g\omega_{e,peak} = |\omega_p - \omega_p^2 V \cos\mu / g|
SymbolMeaningUnit
ωp\omega_pPeak wave frequencyrad/s
VVShip speedm/s
μ\muHeading relative to wavesdeg

Source: Lloyd - Seakeeping 1989

In short

Peak encounter frequency \u03c9_e-peak for a ship at speed V in seas of peak frequency \u03c9_p, heading \u03bc - basis for heading-optimisation to avoid resonance.

Learn the theory Seakeeping: Ship Performance in Waves