Admiralty Coefficient • Speed-Power Curve • Displacement Scaling • Fitted Exponent • MCR • Power Margin • Fouling / Weather • Efficiency Chain

Admiralty Coefficient & Speed-Power Tool Ship Power, Speed & Performance Curve

Estimate propulsion power, speed and comparative ship performance using the traditional Admiralty coefficient, then move beyond the cubic-law shortcut with a fitted multi-point speed-power curve. Simple mode calculates AC, target power and predicted speed at available power. Advanced normalizes operating or trial points for displacement, fits the speed-power exponent, compares cubic and fitted models, applies operational margins, screens MCR/reserve, converts the selected power basis through the propulsion-efficiency chain and builds a full performance curve.

Figures represent
Need measured operating points, fitted exponent, MCR reserve or efficiency-chain analysis? Click Advanced above.Admiralty coefficient is a comparative screening relation, not a full resistance or corrected sea-trial analysis.
Fast8 primary inputs
Core modelΔ²⁄³ × V³ / P
OutputPower, speed & reserve

Reference Vessel / Condition

metric tonnes.
knots.
kW on the selected basis.
Keep the same basis when comparing AC values.

Target Condition

% added to clean Admiralty estimate.
kW on the same selected basis.

Performance Model & Power Basis

t for point normalization.
kW on selected basis.
% of entered available power.
% of operational-limit power left unused.
Brake → shaft, %.
Shaft → effective, %.
g/kWh on brake-equivalent power.

Target Operating Condition

% coefficient of variation.

Speed-Power Observation Register

Enter corrected or otherwise comparable points on one consistent power basis. Each included point is normalized to the reference displacement using traditional Δ²⁄³ scaling before fitting ln(P) versus ln(V).

UseSpeed knPower kWDisplacement t

Performance / Data Quality Checks

Performance limitation: Admiralty coefficient is a comparative/estimating relation, not a complete resistance prediction or ITTC/ISO speed-trial correction. Current ITTC speed/power analysis separately corrects measured trials for wind, waves, current, shallow water, water temperature/salinity, displacement and trim. Use corrected trial/model-test or validated fleet data for contractual or engineering decisions.
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