so now, what do you need to make your freighter warp with webs ?
So first we assume you have preloaded webs, 0ms ping, 0ms reaction, so that when the freighter aligns you target it at once and 1s later it goes to warp.
Actually the requirement is to have pingĂ—2+reaction+lockdelay<1000 ms.
So then what happens is that your freighter gets webbed after 1s, and can go to warp after 2s.
Note that someone else can point it . Your freighter CANT go in warp before 2s, which is ample for anyone with the same lock speed as you to point it.
Since the freighter is basically webbed after actually pingĂ—2+1s , its acceleration after this is very small.
The requirement to get into warp is to reach a relative velocity of 75%, so Vr=0.75. A web multiplies the maximum speed by wm (eg 0.4 for a -60% unstacked web) so you actually need to reach 0.75Ă—wm .
The formula of relative velocity after accelerating for t seconds is Vr(t) = 1-e^(tĂ—ln(0.25)/ta) ; with ta the align time of the ship. You can verify that after t=ta seconds, your ship accelerated to 1-0.25 = 75% of its max speed.
The condition to warp after t second of acceleration followed by a web of velocity multiplication wm, is that vr(t) = 0.75Ă—wm ; so vr(t) = 0.3 for a single -60%web.
Therefore, for a single web (wm=0.4) with 0ping , your ship can go into warp if you have vr(1) = 0.3, that is, ta = ln(0.25)/ln(0.7) = 3.88s.
More generally, if you web after a time t, with a web mult wm, then the requirement to be instantly (at time t) at warp speed is
ta = tĂ—ln(0.25) / ln(1-0.75Ă—wr)
Since you actually don’t web at t=1 but at at=1+ping×2 this can increase a little bit .
Then going other other way, that is trying to get the actual requirement of web reduction from the time to web and the align of the ship :
wr = 1.33â‹…(1-e^(tâ‹…ln0.25/ta))
web reduction values :
|
base |
decayed |
gravid |
unstable |
base serp |
decayed serp |
gravid serp |
unstable serp |
| web str |
-60.00 |
-61.80 |
-64.20 |
-66.00 |
-90.00 |
-92.70 |
-96.30 |
-99.00 |
|
|
|
|
|
|
|
|
|
| 1 mod mult |
0.40 |
0.38 |
0.36 |
0.34 |
0.10 |
0.07 |
0.04 |
0.01 |
| 2 mods mult |
0.19 |
0.18 |
0.16 |
0.14 |
0.02 |
0.01 |
0.01 |
0.00 |
| 3 mods mult |
0.13 |
0.11 |
0.10 |
0.09 |
0.01 |
0.01 |
0.00 |
0.00 |
| 4 mods mult |
0.10 |
0.09 |
0.08 |
0.07 |
0.01 |
0.00 |
0.00 |
0.00 |
|
|
|
|
|
|
|
|
|
| 1mod ta 1s |
3.89 |
4.11 |
4.43 |
4.71 |
17.78 |
24.62 |
49.26 |
184.15 |
| 2mods ta 1s |
8.94 |
9.74 |
10.97 |
12.04 |
84.13 |
129.53 |
305.50 |
1322.52 |
| 3 mods ta 1s |
13.98 |
15.45 |
17.74 |
19.76 |
173.81 |
275.98 |
679.55 |
3043.20 |
| 4 mods ta 1s |
16.99 |
18.87 |
21.83 |
24.46 |
233.45 |
374.37 |
934.38 |
4227.93 |
note that this is with ping=0ms. With ping =5ms, you can multiply by 1.01
As you can see, making a 20s freighter align under 2s can be ensured by having 4 gravid webs ; or by having 2 60% webs on a vigilant ; or having a single decayed on a vigilant ; or by having 4 60% webs and 30+ms ping
