Natural Roll Period - Rational Formula
Natural rolling period from GM and ship beam - the Weiss formula used for synchronous rolling check and inclining verification.
Natural roll period
26.3s
Formula, assumptions, and limits
C ≈ 0.44 for passenger ships, 0.40–0.43 cargo, 0.36 fishing vessels. Check against IMO MSC.1/Circ.1228 - if T_r too close to wave encounter period → risk of synchronous roll.
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| Metacentric height | m | inclining test | |
| Breadth (moulded) | m | ship particulars | |
| Roll-radius coefficient | - | Weiss formula |