Missile mechanics: Difference between revisions

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The equation for missile damage is as follows:

:<math>\displaystyle \text{Damage}= D \~~times~~ \min\left( 1, \frac{S}{E}, \left(\frac{S V_\~~text~~{e}}{~~EV_~~\~~text~~{t}} \right)^\~~text~~{drf} \right)</math>

:<math>\displaystyle \text{Damage}= D \cdot \min\left( 1, \frac{S}{E}, \left(\frac{S\,V_\mathrm{e}}{E\,V_\mathrm{t}} \right)^\mathrm{drf} \right)</math>

Here are the terms in the equation. Except for the "damage reduction factor", these are the same as were defined in the [[#The_Basic_Picture|Basic Picture]] section, above :

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{| class="wikitable"

|-

| S  || signature radius of target || Note: The bigger the better

| <math>S</math>  || signature radius of target || Note: The bigger the better

|-

| V<~~sub~~>t</~~sub~~>  || velocity of target || Note: The smaller the better

| <math>V_{\mathrm t}</math>  || velocity of target || Note: The smaller the better

|-

| D  || base damage of missile || Note: The bigger the better

| <math>D</math>  || base damage of missile || Note: The bigger the better

|-

| E  || explosion radius of missile || Note: The smaller the better

| <math>E</math>  || explosion radius of missile || Note: The smaller the better

|-

| V<~~sub~~>e</~~sub~~>  || explosion velocity of missile || Note: The bigger the better

| <math>V_{\mathrm e}</math>  || explosion velocity of missile || Note: The bigger the better

|-

| drf  || damage reduction factor || Note: The smaller the better

| <math>\mathrm{drf}</math>  || damage reduction factor || Note: The smaller the better

|}

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=== Target values ===

Target velocity <~~b>(V<sub~~>t</~~sub>)</b~~> is the speed of the target. The maximum speed of a ship can be found in its description, but this speed will vary from the maximum during combat. Keep in mind that the speed of the missile is not a factor. What matters is the speed of the ship at the time the missile arrives.

Target velocity <math>V_\mathrm{t}</math> is the speed of the target. The maximum speed of a ship can be found in its description, but this speed will vary from the maximum during combat. Keep in mind that the speed of the missile is not a factor. What matters is the speed of the ship at the time the missile arrives.

Target [[signature radius]] (S) is the effective size of a ship. It is affected by various factors, such as the ship type, modules, rigs, skills and/or implants. It cannot displayed in the Overview, but it is listed in the ship's Get Info Attributes.

Target [[signature radius]] <math>S</math> is the effective size of a ship. It is affected by various factors, such as the ship type, modules, rigs, skills and/or implants. It cannot displayed in the Overview, but it is listed in the ship's Get Info Attributes.

=== Missile values ===

The base damage of a missile (D) can be found in the missile information under “EM damage”, “Kinetic damage”, “Thermal damage” or “Explosive damage”. Base Shield Damage and Base Armor Damage are not relevant for this calculation.

The base damage of a missile <math>D</math> can be found in the missile information under “EM damage”, “Kinetic damage”, “Thermal damage” or “Explosive damage”. Base Shield Damage and Base Armor Damage are not relevant for this calculation.

The explosion radius of a missile (E) represents the size of the explosion. It can be found in the missile information under “Explosion radius”.

The explosion radius of a missile <math>E</math> represents the size of the explosion. It can be found in the missile information under “Explosion radius”.

The explosion velocity of missile <~~b>(V<sub~~>e</~~sub>)</b~~> is the rate of expansion of the explosion. It can be found in the missile information under “Explosion velocity”.

The explosion velocity of missile <math>V_{\mathrm e}</math> is the rate of expansion of the explosion. It can be found in the missile information under “Explosion velocity”.

All three of these can be improved through the use of rigs and/or implants.

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=== Damage reduction factor ===

The “damage reduction factor” (drf) of a missile is not mentioned in the game, it is however included in the [http://community.eveonline.com/community/fansites/toolkit/ data that CCP publishes].

The “damage reduction factor”, or <math>\mathrm{drf}</math>, of a missile is not mentioned in the game, it is however included in the [http://community.eveonline.com/community/fansites/toolkit/ data that CCP publishes].

{| class="wikitable collapsible collapsed sortable" style="text-size:90%"

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The equation can be written in this format:

:<math>\displaystyle \~~text~~{Damage}= \~~text~~{Base damage} \cdot \min\left( 1, \frac{S}{E}, \left(\frac{S V_\~~text~~{e}}{~~EV_~~\~~text~~{t}} \right)^\~~text~~{drf} \right)</math>

:<math>\displaystyle \mathrm{Damage}= \mathrm{Base damage} \cdot \min\left( 1, \frac{S}{E}, \left(\frac{S\,V_\mathrm{e}}{E\,V_\mathrm{t}} \right)^\mathrm{drf} \right)</math>

This means that the base damage is multiplied by the smallest of either <math>1</math>, <math>~~\frac~~ S E</math> or <math>(~~{\frac~~ S E} \cdot \~~frac~~ {~~V_e~~} {~~V_t~~})^\mathrm{drf}</math>. In the equation, then, the number 1 represents 100% of the base damage – since if either of the other values is bigger than 1, they are rejected. Thus, the damage created can be no higher than 100% of the base damage.

This means that the base damage is multiplied by the smallest of either <math>1</math>, <math>S/E</math> or <math display="inline">[(S/E) \cdot (V_{\mathrm{e}}/ V_{\mathrm{t}})]^\mathrm{drf}</math>. In the equation, then, the number 1 represents 100% of the base damage – since if either of the other values is bigger than 1, they are rejected. Thus, the damage created can be no higher than 100% of the base damage.

When the target's signature radius is larger than the missile's explosion radius, <code>S/E</code> will be greater than 1, and that term will be rejected. If target signature radius is smaller than explosion velocity, then <code>S/E</code> will be computed and compared with the third term. The smaller of these will be chosen and multiplied times the Base Damage.

@@ Line 138: / Line 138: @@
 The equation for missile damage is as follows:
-:<math>\displaystyle \text{Damage}= D \times \min\left( 1, \frac{S}{E}, \left(\frac{S V_\text{e}}{EV_\text{t}} \right)^\text{drf} \right)</math>
+:<math>\displaystyle \text{Damage}= D \cdot \min\left( 1, \frac{S}{E}, \left(\frac{S\,V_\mathrm{e}}{E\,V_\mathrm{t}} \right)^\mathrm{drf} \right)</math>
 Here are the terms in the equation. Except for the "damage reduction factor", these are the same as were defined in the [[#The_Basic_Picture|Basic Picture]] section, above :
@@ Line 144: / Line 144: @@
 {| class="wikitable"
 |-
-| S&nbsp; || signature radius of target || <i>Note: The bigger the better</i>
+| <math>S</math>&nbsp; || signature radius of target || <i>Note: The bigger the better</i>
 |-
-| V<sub>t</sub>&nbsp; || velocity of target || <i>Note: The smaller the better</i>
+| <math>V_{\mathrm t}</math>&nbsp; || velocity of target || <i>Note: The smaller the better</i>
 |-
-| D&nbsp; || base damage of missile || <i>Note: The bigger the better</i>
+| <math>D</math>&nbsp; || base damage of missile || <i>Note: The bigger the better</i>
 |-
-| E&nbsp; || explosion radius of missile || <i>Note: The smaller the better</i>
+| <math>E</math>&nbsp; || explosion radius of missile || <i>Note: The smaller the better</i>
 |-
-| V<sub>e</sub>&nbsp; || explosion velocity of missile || <i>Note: The bigger the better</i>
+| <math>V_{\mathrm e}</math>&nbsp; || explosion velocity of missile || <i>Note: The bigger the better</i>
 |-
-| drf&nbsp; || damage reduction factor || <i>Note: The smaller the better</i>
+| <math>\mathrm{drf}</math>&nbsp; || damage reduction factor || <i>Note: The smaller the better</i>
 |}
@@ Line 163: / Line 163: @@
 === Target values  ===
-Target velocity <b>(V<sub>t</sub>)</b> is the speed of the target. The maximum speed of a ship can be found in its description, but this speed will vary from the maximum during combat. Keep in mind that the speed of the missile is not a factor. What matters is the speed of the ship at the time the missile arrives.
+Target velocity <math>V_\mathrm{t}</math> is the speed of the target. The maximum speed of a ship can be found in its description, but this speed will vary from the maximum during combat. Keep in mind that the speed of the missile is not a factor. What matters is the speed of the ship at the time the missile arrives.
-Target [[signature radius]] <b>(S)</b> is the effective size of a ship. It is affected by various factors, such as the ship type, modules, rigs, skills and/or implants. It cannot displayed in the Overview, but it is listed in the ship's Get Info Attributes.
+Target [[signature radius]] <math>S</math> is the effective size of a ship. It is affected by various factors, such as the ship type, modules, rigs, skills and/or implants. It cannot displayed in the Overview, but it is listed in the ship's Get Info Attributes.
 === Missile values ===
-The base damage of a missile <b>(D)</b> can be found in the missile information under “EM damage”, “Kinetic damage”, “Thermal damage” or “Explosive damage”.  Base Shield Damage and Base Armor Damage are not relevant for this calculation.
+The base damage of a missile <math>D</math> can be found in the missile information under “EM damage”, “Kinetic damage”, “Thermal damage” or “Explosive damage”.  Base Shield Damage and Base Armor Damage are not relevant for this calculation.
-The explosion radius of a missile <b>(E)</b> represents the size of the explosion. It can be found in the missile information under “Explosion radius”.
+The explosion radius of a missile <math>E</math> represents the size of the explosion. It can be found in the missile information under “Explosion radius”.
-The explosion velocity of missile <b>(V<sub>e</sub><sub></sub>)</b> is the rate of expansion of the explosion. It can be found in the missile information under “Explosion velocity”.
+The explosion velocity of missile <math>V_{\mathrm e}</math> is the rate of expansion of the explosion. It can be found in the missile information under “Explosion velocity”.
 All three of these can be improved through the use of rigs and/or implants.
@@ Line 179: / Line 179: @@
 === Damage reduction factor ===
-The “damage reduction factor” <b>(drf)</b> of a missile is not mentioned in the game, it is however included in the [http://community.eveonline.com/community/fansites/toolkit/ data that CCP publishes].
+The “damage reduction factor”, or <math>\mathrm{drf}</math>, of a missile is not mentioned in the game, it is however included in the [http://community.eveonline.com/community/fansites/toolkit/ data that CCP publishes].
 {| class="wikitable collapsible collapsed sortable" style="text-size:90%"
@@ Line 247: / Line 247: @@
 The equation can be written in this format:
-:<math>\displaystyle \text{Damage}= \text{Base damage} \cdot \min\left( 1, \frac{S}{E}, \left(\frac{S V_\text{e}}{EV_\text{t}} \right)^\text{drf} \right)</math>
+:<math>\displaystyle \mathrm{Damage}= \mathrm{Base damage} \cdot \min\left( 1, \frac{S}{E}, \left(\frac{S\,V_\mathrm{e}}{E\,V_\mathrm{t}} \right)^\mathrm{drf} \right)</math>
-This means that the base damage is multiplied by the smallest of either <math>1</math>, <math>\frac S E</math> or <math>({\frac S E} \cdot \frac {V_e} {V_t})^\mathrm{drf}</math>. In the equation, then, the number 1 represents 100% of the base damage – since if either of the other values is bigger than 1, they are rejected. Thus, the damage created can be no higher than 100% of the base damage.
+This means that the base damage is multiplied by the smallest of either <math>1</math>, <math>S/E</math> or <math display="inline">[(S/E) \cdot (V_{\mathrm{e}}/ V_{\mathrm{t}})]^\mathrm{drf}</math>. In the equation, then, the number 1 represents 100% of the base damage – since if either of the other values is bigger than 1, they are rejected. Thus, the damage created can be no higher than 100% of the base damage.
 When the target's signature radius is larger than the missile's explosion radius, <code>S/E</code> will be greater than 1, and that term will be rejected. If target signature radius is smaller than explosion velocity, then <code>S/E</code> will be computed and compared with the third term. The smaller of these will be chosen and multiplied times the Base Damage.