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| − | {{Work in Progress}}
| + | <div style="margin:0; background-color:#333322; border:1px solid #3f4e3a; font-style:normal; text-align:left; padding:1em 1em 1em 1em; overflow:hidden; color:#ffffff; margin-right:100px; margin-left:100px"> |
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| − | ''This document is concerned only with the damage that is created when a missile explodes near a ship. It specifically does not cover aspects of [[Missilery_101|missile weaponry]] such as launcher speed or missile flight time. Nor does it concern itself with the ultimate damage to the ship, which may be [[Shield_tanking|shielded]] or [[Armor_Tanking|armored]] against the kind of damage that the missile creates.''
| + | the boonie wiki eat loony members of the EU any chat - don't forget to read what you dictate |
| | | | |
| − | | + | *[http://wiki.eveuniversity.org/Icons Icon Page] {{icon|constellation|48px|star route}} |
| − | == The Basic Picture ==
| + | <span style="color:#cee686">chartreuse •</span> <span style="color:#768d31">dark green •</span> <span style="color:#bfbb7d">light green •</span> <span style="color:#efc449">yellow</span> |
| − | | + | <span class="flashy">{{icon|tag war|9|12px|WT}}</span> |
| − | A missile's target is surrounded by an invisible bubble called its Signature Radius. This is the area that weapons see when they try to lock on to the ship. Generally, the bigger the ship, the bigger the bubble. (''However, various things can extend or shrink the size of a ship's [[Signature_radius|Signature Radius]].'')
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| − | | |
| − | When a missile crosses the Signature Radius of its target, it explodes. The explosion expands in a bubble of its own. The speed at which this bubble grows is called the Explosion Velocity, and the maximum size that the bubble will reach is called the Explosion Radius.
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| − | [[File:QSR_missile_hit.gif|center|A Missile Explodes|alt=animation of missile hitting ship]]
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| − | The missile does not so much hit the ship as explode near it. EVE uses a mathematical equation to compute the precise amount of damage that the explosion does to the ship. You can read about the details in the [[#Technical_Section|Technical Section]] of this document. In general, however, here is the way that missile damage is computed.
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| − | | |
| − | ===When a Missile Explodes===
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| − | | |
| − | The missile has a Base Damage. This is listed as "explosive damage", "kinetic damage", or so on in the Attributes tab of the missile's Get Info window.[[File:SampleMissile.png|thumb|Heavy Missile Attributes|alt=Get Info window showing heavy missile attributes]] This amount may be augmented somewhat by certain skills and/or equipment, and when the term "Base Damage" is used here, it means the listed damage of the missile plus any augmented damage. It is the damage you expect the missile to do if it scores a direct hit.
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| − | | |
| − | Much of the time, 100% of the Base Damage is applied to the ship. Two situations, however, can reduce the damage:
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| − | | |
| − | *If the ship is moving very fast with respect to the ''explosion velocity'', damage may be reduced. Think of this as a fast ship being able to somewhat outrun the explosion.
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| − | *If the signature radius of the ship is very small with respect to the ''explosion radius'' of the missile, damage may be reduced. Think of this as a small ship flying through a large explosion and only being hit by a part of it.
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| − | | |
| − | If both of these situations apply, EVE chooses the one that reduces the most damage.
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| − | | |
| − | | |
| − | {{Note box|In the simplest terms: big, slow ships usually take 100% missile damage. Small, fast ships may take less damage. It is not the speed of the missile that matters; but the speed and size of the explosion.}}
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| − | | |
| − | | |
| − | === Explosion Details ===
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| − | | |
| − | If you have been using missiles, this probably does not surprise you, and you may want more details, but since the actual damage number depends on target speed, missile speed, signature radius and so on, there is no way to give a simple summary or table of how much damage a particular kind of missile will do against a particular kind of ship.
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| − | | |
| − | Without going into the mathematical details (''[[#Technical_Section|which are discussed below]]''), the only other factors that might come into play are these:
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| − | | |
| − | *Unlike with turrets, the angular velocity of the target does not matter ''for computing damage''. The missile still has to get to the target, but once it arrives, damage is computed using the target's absolute velocity.
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| − | *If a missile reaches its target, it will always do ''some'' damage. It is the speed of the explosion that helps determine how much ... not the speed of the missile.
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| − | *Because damage is related to both speed and Signature Ratio, using a microwarp drive, which increases both speed AND Signature Ratio, will not reduce damage. Afterburners do not affect Signature Ratio, however, and so could possibly help.
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| − | *If you are using missiles, you want a faster explosion (''more Explosion Velocity'') and a smaller one (''less Explosion Radius'') – in other words, a short, tight explosion is more effective than a long, loose one.
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| − | | |
| − | === An Illustration ===
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| − | | |
| − | As an illustration, here are the basic statistics for the Inferno Light Missile. These are sorted on Explosion Velocity.
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| − | | |
| − | {| class="wikitable" style="margin: 1em auto 1em auto; " style="text-align: center"
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| − | ! scope="col" width="130px" | Missile
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| − | ! scope="col" width="90px" | Explosion Radius
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| − | ! scope="col" width="90px" | Explosion Velocity
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| − | ! scope="col" width="100px" | Base Damage (Thermal)
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| − | |-
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| − | |Inferno Precision Light Missile|| 25 || 204 || 83
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| − | |-
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| − | |Inferno Light Missile|| 40 || 170 || 83
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| − | |-
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| − | |Caldari Navy Inferno Light Missile|| 40 || 170 || 95
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| − | |-
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| − | |Inferno Fury Light Missile|| 69 || 143 || 116
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| − | |}
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| − | | |
| − | First, notice that the only difference between the regular Inferno and the Caldari Navy Inferno is a change in the base damage.
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| − | | |
| − | Second, you can see that the Fury missile has a larger base damage, but that the Precision missile has a faster Explosion Velocity and smaller Explosion Radius.
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| − | | |
| − | Explosion Radius and Velocity come into play whenever the target is small and/or fast. This means that the Fury missile will deliver its full damage against a bigger, slower ship, but is likely to have its damage reduced against smaller, faster targets. A Precision missile will also deliver its full damage against a bigger, slower ship – though it will do less damage than the Fury because of the lower base damage – but it will also be more likely to deliver full damage to smaller, faster ships.
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| − | | |
| − | Other classes of missiles follow the same pattern. Again, the list is sorted on Explosion Velocity.
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| − | | |
| − | {| class="wikitable" style="margin: 1em auto 1em auto; " style="text-align: center"
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| − | ! scope="col" width="130px" | Missile
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| − | ! scope="col" width="90px" | Explosion Radius
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| − | ! scope="col" width="90px" | Explosion Velocity
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| − | ! scope="col" width="100px" | Base Damage (Thermal)
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| − | |-
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| − | |Inferno Light Missile|| 40 || 170 || 83
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| − | |-
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| − | |Inferno Rocket|| 20 || 150 || 33
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| − | |-
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| − | |Inferno Heavy Missile|| 140 || 81 || 135
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| − | |-
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| − | |Inferno Torpedo|| 450 || 71 || 450
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| − | |}
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| − | | |
| − | Rockets have the smallest Base Damage (BD), but they have a very small Explosion Radius (ER) and a fairly fast Explosion Velocity (EV). So, you would expect them to do very good damage to small targets (due to their ER and EV), but relatively less damage to large ones (due to their BD). Torpedos have five times the Base Damage of Light Missiles, but they have ten times the Explosion Radius and half the Explosion Velocity. So, you would expect Torpedos to be very good against large, slow ships (due to their BD), but very poor against small, fast ships (due to their ER and EV).
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| − | | |
| − | If that all makes sense, then good ... if not, then just keep in mind that, all things being equal, EVE has balanced the damage done by missiles among themselves as well as with the damage done by projectiles, beams and other types of weapons.
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| − | | |
| − | == How to Increase the Damage of Your Missiles ==
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| − | | |
| − | Skills and ship equipment can have a direct impact on missile damage. A number of implants do the same. In addition, modules such as Target Painters and Webifiers can affect the target's Signature Radius and Speed, thus making missile damage more effective.
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| − | | |
| − | === Skills ===
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| − | | |
| − | A number of skills improve a player's [[Missiles_101#Skills_that_affect_Missiles|expertise with missiles]]. These three specifically affect the amount of damage done when a missile explodes.
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| − | | |
| − | *{{sk|Guided Missile Precision}} reduces the impact of the target signature radius on the damage. This effectively decreases the explosion radius of the missile by 5% per skill level, which makes it more likely to do full damage to a small/fast target.
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| − | *{{sk|Target Navigation Prediction}} reduces the impact of the target velocity on the damage. This effectively increases the explosion velocity by 10% per skill level, which makes it more likely to do full damage to a small/fast target.
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| − | *{{sk|Warhead Upgrades}} provides a direct 2% increase in missile damage per level.
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| − | | |
| − | === Modules, Rigs and Ammunition=== | |
| − | | |
| − | While there are additional items that affect missiles and launchers, those do not alter the missile damage as such. Here are the ones that do.
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| − | | |
| − | [http://wiki.eveonline.com/en/wiki/Ballistic_Control_System_I Ballistic Control System]: among other things, gives a bonus to base missile damage.
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| − | [https://wiki.eveonline.com/en/wiki/Item_Database:Ship_Modifications:Rigs:Missile_Launcher_Rigs Missile Launcher Rigs]
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| − | *Warhead Calefaction Catalyst: increases the base damage of the missile but increases the CPU requirement for the launcher.
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| − | *Warhead Flare Catalyst: increases the explosion velocity of the missile but increases the CPU requirement for the launcher.
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| − | | |
| − | *Warhead Rigor Catalyst: decreases the explosion radius of the missile but increases the CPU requirement for the launcher.
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| − | | |
| − | [https://wiki.eveonline.com/en/wiki/Missiles#Tech_II_Missiles Advanced Tech II Missiles]
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| − | | |
| − | *Precision Missiles are more effective than Furies against smaller, faster targets, but do less base damage per missile.
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| − | *Fury Missiles have a larger base damage per missile, but are less effective than Precisions against smaller, faster targets.
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| − | *Both have a somewhat shorter range than regular and Faction missiles.
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| − | | |
| − | === Implants ===
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| − | | |
| − | A variety of [[List_of_Skill_Hardwiring_Implants#Table_of_Implants|Hardwired Implants]] affect weapons systems. Only a few have a direct impact on missile damage creation.
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| − | '''Specific Missile Classes'''
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| − | | |
| − | *Zainou 'Snapshot' Cruise Missiles: 1% to 6% bonus to the base damage of Cruise Missiles
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| − | *Zainou 'Snapshot' Torpedoes: 1% to 6% bonus to the base damage of Torpedos
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| − | *Zainou 'Snapshot' Heavy Missiles: 1% to 6% bonus to the base damage of Heavy Missiles
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| − | *Zainou 'Snapshot' Assault Missiles: 1% to 6% bonus to the base damage of Assault Missiles
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| − | *Zainou 'Snapshot' Rockets: 1% to 6% bonus to the base damage of Rockets
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| − | *Zainou 'Snapshot' FOF Explosion Radius: 1% to 6% bonus to explosion radius of Auto-Target Missiles
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| − | | |
| − | '''All Missiles'''
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| − | *Zainou 'Deadeye' Guided Missile Precision: 1% to 6% reduced factor of signature radius for all missile explosions
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| − | *Zainou 'Deadeye' Target Navigation Prediction: 1% to 6% decrease in factor of target's velocity for all missile explosions
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| − | | |
| − | === Affecting the Target Ship ===
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| − | Missile damage can be substantially increased by using [[Electronic_Warfare_101|Electronic Warfare Modules]] to change the Velocity and/or Signature Radius of the target ship.
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| − | *[[EWar_101_Guide#Target_Painting_.28TP.29|Target Painters]] can effectively increase the Signature Radius of the ship. This makes the ship bigger and more likely to take full damage.
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| − | *[[Stasis_Webifier_Module#Web | Stasis Webifiers]] can decrease the ship's velocity. This makes the ship slower and more likely to take full damage.
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| − | Note that both of these are most effective if you are firing missiles at small, fast ships. They may be completely unhelpful if you are firing at very large ships.
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| − | | |
| − | ----
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| − | | |
| − | ==Technical Section: The Missile Damage Equation==
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| − | This section discusses the mathematical equation that governs how much damage missile explosions create.
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| − | Here is the equation for missile damage:
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| − | [[Image:MissileDamageFormula.png|center|400px]]
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| − | 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"
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| − | |-
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| − | | S || signature radius of target || <i>Note: The bigger the better</i>
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| − | |-
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| − | | V<sub>t</sub> || velocity of target || <i>Note: The smaller the better</i>
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| − | |-
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| − | | D || base damage of missile || <i>Note: The bigger the better</i>
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| − | |-
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| − | | E || explosion radius of missile || <i>Note: The smaller the better</i>
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| − | |-
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| − | | V<sub>e</sub> || explosion velocity of missile || <i>Note: The bigger the better</i>
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| − | |-
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| − | | drf || damage reduction factor || <i>Note: The smaller the better</i>
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| − | |}
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| − | | |
| − | Unlike the turret damage equation, missile damage takes the absolute velocity of the target into account, not the angular velocity. To create missile damage, the game computes two values. These values are compared to 1, and the smallest is chosen. That number is then multiplied by the base damage to get the amount of damage applied to the ship.
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| − | | |
| − | === The Target Values ===
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| − | 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. (''In other words, if you have a choice, shoot at slower moving ships.'')
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| − | | |
| − | 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.
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| − | | |
| − | === The Missile Values ===
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| − | | |
| − | 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.
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| − | | |
| − | 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”.
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| − | | |
| − | 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”.
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| − | | |
| − | All three of these can be improved through the use of rigs and/or implants.
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| − | | |
| − | === Finding the Damage Reduction Factor of a Missile===
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| − | | |
| − | The “damage reduction factor” <b>(drf)</b> of a missile is not mentioned in the game, it is however included in the data that CCP publishes [http://community.eveonline.com/community/fansites/toolkit/], and you can easily view it in the EVEMon item browser. You can also see the value 5.5 from the above equation in the same data – it is called the Damage Reduction Sensitivity.
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| − | | |
| − | <div style="width: 41%; height:10em; overflow:auto; border: 2px solid #088">
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| − | {| class="wikitable" | |
| − | |-
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| − | ! Missile Type!! DRF
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| − | |-
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| − | | Precision Light Missile || 2.6 | |
| − | |-
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| − | | Precision Heavy Missile || 2.7
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| − | |-
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| − | | Auto-Targeting Light Missile || 2.8
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| − | |-
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| − | | Light Missile || 2.8
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| − | |-
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| − | | Rocket || 3
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| − | |-
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| − | | Heavy Missile || 3.2
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| − | |-
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| − | | Auto-Targeting Heavy Missile || 3.2
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| − | |-
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| − | | Javelin Rocket || 3.2
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| − | |-
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| − | | Fury Light Missile || 3.2
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| − | |-
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| − | | Precision Cruise Missile || 3.5
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| − | |-
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| − | | Cruise Missile || 4.5
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| − | |-
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| − | | Auto-Targeting Cruise Missile || 4.5
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| − | |-
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| − | | Rage Rocket || 4.5
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| − | |-
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| − | | Citadel Cruise Missile || 4.5
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| − | |-
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| − | | Fury Heavy Missile || 4.5
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| − | |-
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| − | | Heavy Assault Missile || 4.5
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| − | |-
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| − | | Javelin Heavy Assault Missile || 4.6
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| − | |-
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| − | | Fury Cruise Missile || 4.7
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| − | |-
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| − | | Rage Heavy Assault Missile || 4.8
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| − | |-
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| − | | Torpedo || 5
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| − | |-
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| − | | Javelin Torpedo || 5.2
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| − | |-
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| − | | Rage Torpedo || 5.2
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| − | |-
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| − | | Citadel Torpedo || 5.5
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| − | |}
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| | </div> | | </div> |
| | + | <div style="margin-left:75%; background-color:#404050; border: 1px solid #9999AD; padding:0.8em; text-align:left; color:#ffffff; overflow:hidden; font-style:normal;box-sizing: border-box;">An interesting note.</div> |
| | + | { { color|hue|text } } {{color|green|This is green.}} {{color|#00f000|This is #00f000}} {{color|#ff6251|For emphasis, use #ff6251 instead of bright red.}} |
| | + | ---------------------------------------------------------------------- |
| | + | <math>\pagecolor{Black}\color{White}\text{Chance to Hit} = {0.5^{\left({\left({\frac{V_{angular} \times 40000m}{WAS \times sig_{target}}}\right)^{2} + \left({\frac{max(0, Distance - opt_{turret})}{fall_{turret}}}\right)^{2}}\right)}}</math> |
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| − | | + | .math>\pagecolor{Black}\color{White}\text{Chance to Hit} = {0.5^{\left({\left({\frac{V_{angular} \times 40000m}{WAS \times sig_{target}}}\right)^{2} + \left({\frac{max(0, Distance - opt_{turret})}{fall_{turret}}}\right)^{2}}\right)}}</math. |
| − | === Analysis of the Equation === | + | ---------------------------------------------------------------------- |
| − | | + | ------------------------------------------------------------------ |
| − | The equation can be written in this format:
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| − | | |
| − | damage created = base damage * min[1, S/E, (S/E*Ve/Vt)^(ln(drf)/ln(5.5)]
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| − | | |
| − | This means that the base damage is multiplied by the smallest of either 1, S/E or (S/E*Ve/Vt)^(ln(drf)/ln(5.5). 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.
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| − | | |
| − | | |
| − | When the target's Signature Radius is larger than the missile Explosion Radius, then S/E will be greater than 1, and that term will be rejected. If S is smaller than E, then S/E will be computed and compared with the third term. The smaller of these will be chosen and multiplied times the Base Damage.
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| − | | |
| − | | |
| − | Since the part of the equation that is affected by velocity ... (S/E*Ve/Vt)^(ln(drf)/ln(5.5) ... only matters if it is less than 1, it can be set to 1 and solved to find the point where it begins to matter. Doing that gives Vt = (S/ (1^(1/ (ln(drf)/ln(5.5)) * E)) * Ve. Since 1^x = 1, then 1^(1/ (ln(drf)/ln(5.5) also must equal 1, and the equation reduces to Vt = (S/E) * Ve. This can be rewritten as
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| − | | |
| − | Vt = S * Ve/E
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| − | | |
| − | Since Ve and E are both attributes of the missile, Ve/E can be combined into a single factor for each missile class.
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| − | | |
| − | <div style="width: 75%; height:10em; overflow:auto; border: 2px solid #088">
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| − | {| class="wikitable"
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| − | |-
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| − | !Missile !! Minimum Velocity Factor
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| − | |-
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| − | | Citadel Torpedo || 0.01
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| − | |-
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| − | | Citadel Cruise Missile || 0.016571429
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| − | |-
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| − | | Rage Torpedo || 0.093846154
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| − | |-
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| − | | Fury Cruise Missile || 0.105454545
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| − | |-
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| − | | Javelin Torpedo || 0.157777778
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| − | |-
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| − | | Torpedo || 0.157777778
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| − | |-
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| − | | Auto-Targeting Cruise Missile I || 0.23
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| − | |-
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| − | | Cruise Missile || 0.23
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| − | |-
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| − | | Precision Cruise Missile || 0.262962963
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| − | |-
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| − | | Fury Heavy Missile || 0.451162791
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| − | |-
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| − | | Rage Heavy Assault Missile || 0.516666667
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| − | |-
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| − | | Auto-Targeting Heavy Missile I || 0.648
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| − | |-
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| − | | Heavy Missile || 0.648
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| − | |-
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| − | | Precision Heavy Missile || 0.776785714
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| − | |-
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| − | | Heavy Assault Missile || 0.808
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| − | |-
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| − | | Javelin Heavy Assault Missile || 0.808
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| − | |-
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| − | | Fury Light Missile || 2.047058824
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| − | |-
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| − | | Auto-Targeting Light Missile I || 3.4
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| − | |-
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| − | | Light Missile || 3.4
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| − | |-
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| − | | Rage Rocket || 4.666666667
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| − | |-
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| − | | Precision Light Missile || 5.114285714
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| − | |-
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| − | | Javelin Rocket || 7.5
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| − | |-
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| − | | Rocket || 7.5
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| − | |}
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| − | </div>
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| − | So, the Target Velocity at which the damage created begins to be reduced is equal to the Signature Radius of the target times the Minimum Velocity Factor.
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| − | Vt = S * MVF
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| − | This means that a Rocket will begin doing less damage at when the target velocity is 7.5 * S, a Light Missile at 3.4 * S, and a Torpedo at 0.158 * S. Thus, the same sized ship has to be going much faster to reduce damage from a Rocket than it does to reduce damage from a Torpedo.
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| − | An important fact that arises from the equations is that there is a minimum speed that a ship needs to fly before the velocity can reduce the missile damage at all. If the ship is moving below a specific threshold, the explosion velocity and the speed of the ship do not affect the missile damage. In this case, only the Signature Radius of the target and the Explosion Radius of the missile affect the missile damage. In this case, further decreases in the ships speed will not increase the damage; however increases the signature size will, until the damage reaches 100%.
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| − | === Examples ===
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| − | | |
| − | {{Example | Example 1:
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| − | The heavy missile has a mvf of 0.648.
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| − | The Drake has 140 m/s speed and a signature radius of 285 m.
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| − | The required speed is therefore 184.68. (''285 * 0.648'')
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| − | Since the speed of the Drake (140 m/s) is below the required speed (184.68 m/s), the speed does not affect the missile damage. The damage is determined by 1, the lowest of the three factors and the missile does full damage.}}
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| − | {{Example | Example 2:
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| − | The heavy missile has a mvf of 0.648.
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| − | The Drake fits a 10mn Afterburner I, increasing the speed by 125%, the maximum speed is 157.5 m/s; signature size is unchanged.
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| − | The required speed stays the same. The damage is determined again by 1 as both other options are greater than 1. The Drake again takes full damage.}}
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| − | | |
| − | {{Example | Example 3:
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| − | The heavy missile has a mvf of 0.648
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| − | The drake fits a 10mn Microwarpdrive I, increasing the speed by 500%, the maximum speed is 700 m/s, signature radius is increased by 500% to 1425 m.
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| − | Required speed is therefore changed to 923.4 (''1425 * 0.648'')
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| − | Since the speed of the Drake with a MWD (700 m/s) is below the required speed (923.4 m/s), the speed does not affect the missile damage . The damage is determined by 1, the damage is 100% of the possible damage and it is no different than the damage the ship receives without the MWD.}}
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