User:Tsubakura/Sandbox/Secret Archives/Shelling Accuracy

Last Updated: 12-07-2017

Summary
The current proposed shelling formula is the following:

$$\text{Accuracy Value} = 0.03 + W + \left ( 0.9 + \frac{\sqrt{N_{s}-1}}{50} + \frac{E_{s}}{100} + \frac{1.5 \sqrt{L_{s}}}{100} \right ) \cdot C \cdot F$$

Where:
 * $$N_{s}$$ is the ship's level
 * $$L_{s}$$ is the ship's luck
 * $$W$$ is the fit bonus or overweight penalty
 * $$E_{s} = \sum^{\text{All Slots}} E_{acc} + E_{m} \sqrt{\bigstar}$$
 * $$E_{s}$$ is the total accuracy provided by the ship's equipment
 * $$E_{acc}$$ is the equipment's displayed accuracy stat
 * $$E_{m}$$ is the equipment's improvement modifier for accuracy
 * $$C$$ is the morale modifier, which is the following depending on your morale:
 * < 20: 0.5
 * 20-32: 0.8
 * 33-52: 1
 * 52 >: 1.2
 * $$F$$ is the formation modifier, which includes the Combined Fleet:
 * Line Ahead: 1
 * Double Line: 1.2
 * Diamond: 1
 * Echelon: 1.2
 * Line Abreast: 1.2
 * Cruising Formation 1 (Anti Sub): ???
 * Cruising Formation 2 (Forward): ???
 * Cruising Formation 3 (Ring): ???
 * Cruising Formation 4 (Battle): ???

Additional notes:
 * Combined Fleet modifiers appear to be flat penalties but are still subject to further investigation.
 * Incomplete: Effects of AP Shells and Artillery Spotting are yet to be added.
 * Incomplete: Combined Fleet modifiers are missing.