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Prismatic coefficient (CP)

B1. Naval Architecture

Definition

Volume divided by midship-section area times length.

The prismatic coefficient CP=/(AML)C_P = \nabla / (A_M \cdot L) relates displaced volume to a prism of the midship section area AMA_M run over the length, so CP=CB/CMC_P = C_B / C_M. It describes longitudinal distribution of buoyancy rather than overall fullness. Low CPC_P (about 0.55 to 0.60) concentrates volume amidships and suits high Froude-number forms; high CPC_P (0.75 and up) spreads volume toward the ends. Series-60 and Taylor-Gertler powering data are organized by CPC_P.