Deck General · Righting Arm & GZ Curve
At small angles of heel (up to approximately 15 degrees), GZ can be approximated by:
- AGZ = GM / sin(theta)
- BGZ = GM x sin(theta)✓ Correct
- CGZ = KM x cos(theta)
- DGZ = BM x tan(theta)
Explanation
At small angles, GZ ≈ GM x sin(theta). This is the basis of initial stability theory. For larger angles, the relationship becomes non-linear and requires the full GZ curve from the stability booklet. GM alone is insufficient to predict stability at large heel angles.
Authority: Stability & Trim (USCG deck topic)
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