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Wall-Sided Formula - Heel vs GZ

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

Formula

$$ GZ = \sin\theta \cdot (GM + \tfrac{1}{2} BM \tan^2\theta) $$

Symbol legend

SymbolMeaningUnitSource
$GM$Metacentric heightminclining
$BM$Metacentric radiusmI_T / ∇
$\theta$Heel angleradinclinometer

Sources

  • Rawson & Tupper Vol 1.