Derive wave spectrum from scatter diagram

[Vu Compra]

Homework Statement

For a downtime analysis the spectrum of motion has to be calculated with the wave spectrum and the RAOs (given) for several frequencies. Given is a wave scatter diagram with the significant wave height (Hs) and the peak period (Tp). How convert the significant wave height and peak period into a spectrum?

Homework Equations

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The Attempt at a Solution

What can be done with the zero-order-moment m0?
Though in here only the significant wave height is incorporated, not the peak period

 

[Vu Compra]

Solution found:
JONSWAP-spectrum