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Righting arm (GZ)

B1. Naval Architecture

Definition

Horizontal distance between weight and buoyancy verticals at heel.

The righting arm GZGZ is the horizontal distance between the lines of action of weight through G and buoyancy through B at a given heel, so the restoring moment is ΔGZ\Delta \cdot GZ. At small angles GZGMsinϕGZ \approx GM \cdot \sin\phi; beyond that the full GZGZ curve is read from cross-curves of stability (KN curves) via GZ=KNKGsinϕGZ = KN - KG \sin\phi. The IS Code 2008 sets minimum areas under the curve to 30 and 40 degrees and a peak GZGZ at or beyond 25 degrees.