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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. | 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. | ||
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 | 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 | ||
Since Ve and E are | Vt = S * Ve/E | ||
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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Vt = S * MVF | Vt = S * MVF | ||
This means that a Rocket will | 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. | ||
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 | 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%. | ||
=== Examples === | === Examples === | ||