One-point PM spectrum S(ω) = α·g²/ω⁵ · exp(−β·(ω_p/ω)⁴). Used for fully-developed seas.
Formula
$$ S(\omega) = \frac{\alpha g^2}{\omega^5} \exp!\left[-\beta \left(\frac{\omega_p}{\omega}\right)^4\right] $$
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| $α$ | PM constant 8.1e-3 | - | Pierson-Moskowitz |
| $β$ | PM shape 1.25 | - | Pierson-Moskowitz |
| $\omega_p$ | Peak frequency = 0.879·g/V | rad/s | derived |
Sources
- Pierson-Moskowitz (1964).