Turret damage: Difference between revisions

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==The To-Hit-Equation==

This equation is used every single time someone fires a turret weapon in the game. The purpose of it is to determine the odds the turret has to hit its target. The value will always be between 0 and 1, or 0% and 100% if you will. The computer then generates a random number to see if a hit is scored or not.

<math>\pagecolor{Black}\color{White}\text{Chance to Hit} = {0.5^{\left({\left({\frac{~~\text{Transversal Speed}}{\text~~{~~Range to Target~~} \times ~~\text{Turret Accuracy Score}~~} ~~\times~~ {~~\frac~~{~~40000m~~}{\~~text~~{~~Target Signature Radius}~~}}}\right)^{2} + \left({\frac{max(0, \~~text~~{~~Distance~~} - ~~\text~~{~~Optimal Range~~})}{~~\text~~{~~Falloff~~}}}\right)^{2}}\right)}}</math>

<math>\pagecolor{Black}\color{White}\text{Chance to Hit} = {0.5^{\left({\left({\frac{V_{angular} \times 40000m}{acc_{turret} \times sig_{target}}}\right)^{2} + \left({\frac{max(0, \Delta_{distance} - opt_{turret})}{fall_{turret}}}\right)^{2}}\right)}}</math>

...where:

* ~~Transversal speed = Movement up~~/~~down/left/right relative to an object~~, ~~but not towards or away from it (that thing is called radial speed). Measured in meters per second.~~

* <math>v_{angular}</math> : Angular velocity of target. Simply put, how many circles the target can run around you per <math>\frac{1}{2\times\pi}</math> seconds.

* Distance = The range to the target~~. Measured in meters~~.

* <math>acc_{turret}</math> : "Turret accuracy score" found on the attributes tab of a turret.

* Turret accuracy score~~ = Found~~ on the attributes tab of a turret.

* <math>sig_{target} : Target signature radius. The size of the target, or more precisely the radius of an imagined circle that represents the target's sensor footprint. Measured in meters.

* Target signature radius~~ =~~ The size of the target, or more precisely the radius of an imagined circle that represents the target's sensor footprint. Measured in meters.

* max(0, ''x'') = a math function that takes the highest value of zero or ''x''. It is used to prevent negative values in this case; any negative numbers are replaced with zero instead.

* Turret optimal range~~ = Found~~ on the attributes tab of a turret. Inside this range no range penalties from distance are applied. Measured in meters.

* <math>\Delta_{distance}</math> : Distance between firing ship and target.

* Falloff~~ = Found~~ on the attributes tab of a turret. Represents how rapidly a turret's accuracy declines as the target moves beyond optimal range. Measured in meters.

* <math>opt_{turret}</math> : "Turret optimal range" found on the attributes tab of a turret. Inside this range no range penalties from distance are applied. Measured in meters.

* <math>fall_{turret}</math> : "Falloff" found on the attributes tab of a turret. Represents how rapidly a turret's accuracy declines as the target moves beyond optimal range. Measured in meters.

Now let's look a little closer at the equation itself, there is something to be learned from that.

@@ Line 110: / Line 110: @@
 ==The To-Hit-Equation==
 This equation is used every single time someone fires a turret weapon in the game. The purpose of it is to determine the odds the turret has to hit its target. The value will always be between 0 and 1, or 0% and 100% if you will. The computer then generates a random number to see if a hit is scored or not.
-<math>\pagecolor{Black}\color{White}\text{Chance to Hit} = {0.5^{\left({\left({\frac{\text{Transversal Speed}}{\text{Range to Target} \times \text{Turret Accuracy Score}} \times {\frac{40000m}{\text{Target Signature Radius}}}}\right)^{2} + \left({\frac{max(0, \text{Distance} - \text{Optimal Range})}{\text{Falloff}}}\right)^{2}}\right)}}</math>
+<math>\pagecolor{Black}\color{White}\text{Chance to Hit} = {0.5^{\left({\left({\frac{V_{angular} \times 40000m}{acc_{turret} \times sig_{target}}}\right)^{2} + \left({\frac{max(0, \Delta_{distance} - opt_{turret})}{fall_{turret}}}\right)^{2}}\right)}}</math>
 ...where:
-* Transversal speed&nbsp;= Movement up/down/left/right relative to an object, but not towards or away from it (that thing is called radial speed). Measured in meters per second.
+* <math>v_{angular}</math> : Angular velocity of target. Simply put, how many circles the target can run around you per <math>\frac{1}{2\times\pi}</math> seconds.
-* Distance&nbsp;= The range to the target. Measured in meters.
+* <math>acc_{turret}</math> : "Turret accuracy score" found on the attributes tab of a turret.
-* Turret accuracy score&nbsp;= Found on the attributes tab of a turret.
+* <math>sig_{target} : Target signature radius. The size of the target, or more precisely the radius of an imagined circle that represents the target's sensor footprint. Measured in meters.
-* Target signature radius&nbsp;= The size of the target, or more precisely the radius of an imagined circle that represents the target's sensor footprint. Measured in meters.
 * max(0, ''x'')&nbsp;= a math function that takes the highest value of zero or ''x''. It is used to prevent negative values in this case; any negative numbers are replaced with zero instead.
-* Turret optimal range&nbsp;= Found on the attributes tab of a turret. Inside this range no range penalties from distance are applied. Measured in meters.
+* <math>\Delta_{distance}</math> : Distance between firing ship and target.
-* Falloff&nbsp;= Found on the attributes tab of a turret. Represents how rapidly a turret's accuracy declines as the target moves beyond optimal range. Measured in meters.
+* <math>opt_{turret}</math> : "Turret optimal range" found on the attributes tab of a turret. Inside this range no range penalties from distance are applied. Measured in meters.
+* <math>fall_{turret}</math> : "Falloff" found on the attributes tab of a turret. Represents how rapidly a turret's accuracy declines as the target moves beyond optimal range. Measured in meters.
 Now let's look a little closer at the equation itself, there is something to be learned from that.