|
|
| Line 67: |
Line 67: |
|
| |
|
| Note that you want a small DRF, since smaller powers of numbers less than 1 are larger. | | Note that you want a small DRF, since smaller powers of numbers less than 1 are larger. |
|
| |
| == Explosion Velocity ==
| |
|
| |
| Our first fact is this: if the target is moving slower than the explosion velocity of your missile, then the third term in the equation can be ignored. In this case, V<sub>e</sub> / V<sub>t</sub> > 1, and so S/E*(V<sub>e</sub> / V<sub>t</sub>) > S/E. Now, if S/E*(V<sub>e</sub> / V<sub>t</sub>) > 1, then taking raising it to that power will still leave it larger than 1, so we only need to consider the minimum of 1 and S/E. However, if S/E*(V<sub>e</sub> / V<sub>t</sub>) < 1, then applying the DRF factor will make it larger, and S/E will be smaller and we are once again left with only having to compare between 1 and S/E.
| |
|
| |
| The second fact is this: just because the target is moving faster than your explosion velocity does not mean that your damage is reduced. You can show that your missile damage is reduced because of the target's velocity if and only if
| |
|
| |
| [[File:velocityCondition.png]]
| |
|
| |
| That is, if the target is flying at speeds greater than the term on the right, then your damage reduction is no longer the smaller of 1 or S/E and instead becomes the smaller of 1 and the third, more complicated, number.
| |
