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

Sea peak freq

ω_p

rad/sShip speedm/sHeading (0 head, 180 follow)deg

ω_e peak: 0.947rad/s

Encounter period peak: 6.6s

Changing the inputs requires JavaScript. The calculator above shows its default inputs and result. The formula, symbols, and regulatory sources are shown in the Formula section below.

Formula, assumptions, and limits

\omega_{e,peak} = |\omega_p - \omega_p^2 V \cos\mu / g|

Symbol	Meaning	Unit
$\omega_p$	Peak wave frequency	rad/s
$V$	Ship speed	m/s
$\mu$	Heading relative to waves	deg

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