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Wall-Sided Formula - Heel vs GZ

Wall-sided (Atwood) approximation for GZ at moderate heel - quick check before rigorous cross-curve integration.

GZHeelWall-sided
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Formula, assumptions, and limits

GZ=sinθ(GM+12BMtan2θ)GZ = \sin\theta \cdot (GM + \tfrac{1}{2} BM \tan^2\theta)
SymbolMeaningUnit
GMGMMetacentric heightm
BMBMMetacentric radiusm
θ\thetaHeel anglerad

Source: Rawson & Tupper Vol 1

In short

Wall-sided (Atwood) approximation for GZ at moderate heel - quick check before rigorous cross-curve integration.

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