Most Math-Wing posts are a delightful array of Statistics , and for most questions, this is a superb method of determining worth.

I, however, am in the midst of doing a Mobility 101 script (like the Lambda 101 and 102 posts, courtesy of SableGryphon), and that means Geometry.

More specifically, I need to know the percentage of field of fire maintained after a boost. (i.e. what proportion of Range 1-3 in a firing arc overlaps between the pre-boost and post-boost positions, or in layman's terms, how much of the stuff you can shoot at after you boost is stuff you could have shot at without boosting).

Alternatively, a refresher course in how to do this myself would also be appreciated, as then I could then do the math for Navigator, Barrel-Roll, either or both of those combined with boost through PTL, &c &c &c.

There are two ways to do this. One is calculating the areas yourself. The other is CAD and let the machine do the hard part. I'll do the 2nd.

Just to make sure: Firing arcs are 80° from the center of the base. Right?

Firing arcs are 90 degs, (Vassal firing arcs were set to 80-82 degs [?] I believe).

A boost to your right or left is a change of face of 45 degs. Therefore, a forward arc of 90 would be cut in half by the boost at the very least. But you are also moving on the x,y position, so your new boost arc would be (roughly) %33 (for small base) to %25 (for a large base) or less of what was in your field before, and %66 (for small base) to %75 (for large base) would be new arc.

This is rough sketchwork on a graph pad here at work.

Did you want small base or large bases or both?

Did you also want the straight boost included?

No, the "real" firing arcs are ~80 degrees. Vassal was updated to match this after extensive measurement of real pieces. People just assume they are 90 without verifying.

Bank 1 seems to have a radius of 80 mm. I used that.

Calculations are without the guide nubs. So areas are in fact marginally smaller.

Normal firing arc area for a 40 mm base is 0.073 m² and 0.083 m² for 80 mm .

The overlapping areas of boost and non-boost firing arcs are:

40 mm base boost forward: 0.043 m²

40 mm base boost bank: 0.022 m²

80 mm base boost forward: 0.036 m²

80 mm base boost bank: 0.021 m²

Pictures for 40 mm:

Edit:

Added red text.

cool work, Dvor. But, the firing arc area would be bigger for an 80mm base'd ship (I'm assuming 80mm is the size of the large base). Do your calculations take into account the difference in firing arc area for the large ships?

Forgot to measure that area. Edited post #5 accordingly. The geometry includes the difference.

Here are measurements with greater accuracy:

40 mm normal: 0.072901 m²

40 mm overlap boost forward: 0.042665 m² (58.5 %)

40 mm overlap boost bank: 0.021883 m² (30.0 %)

80 mm normal: 0.082970 m²

80 mm overlap boost forward: 0.036240 m² (43.7 %)

80 mm overlap boost bank: 0.021018 m² (25.3 %)

Thank you, dvor!
Can you also throw in the overlap of firing arcs for barrel-roll positions?

Forgot to measure that area. Edited post #5 accordingly. The geometry includes the difference.

Here are measurements with greater accuracy:

40 mm normal: 0.072901 m²

40 mm overlap boost forward: 0.042665 m² (58.5 %)

40 mm overlap boost bank: 0.021883 m² (30.0 %)

80 mm normal: 0.082970 m²

80 mm overlap boost forward: 0.036240 m² (43.7 %)

80 mm overlap boost bank: 0.021018 m² (25.3 %)

My rough shot at 33% for small and 25 % for large works out quite close to the math you got dvor.

40 mm side barrel roll: 0.049557 m² (68.0 %)

40 mm maximum distance barrel roll: 0.048463 m² (66.5 %)

80 mm side barrel roll: 0.047824 m² (57.6 %)

80 mm maximum distance barrel roll: 0.041123 m² (49.6 %)

40 mm barrel rolls:

80 mm barrel rolls:

for completeness, 80 mm boost:

Happened to get bored. So I redid the entire model. With guide nubs. Not surprisingly, they hardly change anything. Added Lorrir as well.

If you need something else, let me know. Like the combination of two actions. Or the difference between 1 bank and 3 bank. Or...

It only takes me a couple of minutes. Probably less.

80 mm base

normal 0.082963 m²

boost forward 0.036233 m² (43.7 %)

boost bank 0.02101 m² (25.3 %)

daredevil no overlap

side barrel roll 0.047824 m² (57.6 %)

maximum distance barrel roll 0.041123 m² (49.6 %)

40 mm base

normal 0.072894 m²

boost forward 0.042658 m² (58.5 %)

boost bank 0.021876 m² (30.0 %)

daredevil no overlap

side barrel roll 0.049557 m² (68.0 %)

maximum distance barrel roll 0.048463 m² (66.5 %)

Lorrir turn inside

maximum overlap 0.052768 m² (72.4 %)

minimum overlap 0.050983 m² (69.9 %)

Lorrir turn outside

maximum overlap 0.009538 m² (13.1 %)

minimum overlap 0.006992 m² (9.6 %)

If you need something else, let me know. Like the combination of two actions. Or the difference between 1 bank and 3 bank. Or...

It only takes me a couple of minutes. Probably less.

I'll PM you when we get closer

40mm Barrel Roll then boost.

cool stuff in this thread

40mm Barrel Roll then boost.

Barrel roll first, boost second:

40 mm

barrel roll back, boost inside (to where you came from) 0.041547 m² (57.0 %)

barrel roll back, boost straight 0.042111 m² (57.8 %)

barrel roll back, boost outside 0.005771 m² (7.9 %)

side barrel roll, boost inside 0.039588 m² (54.3 %)

side barrel roll, boost straight 0.038284 m² (52.5%)

side barrel roll, boost outside 0.006030 m² (8.3 %)

barrel roll forward, boost inside 0.037232 m² (51.1 %)

barrel roll forward, boost straight 0.033874 m² (46.5 %)

barrel roll forward, boost outside 0.006295 m² (8.6 %)

barrel roll back, boost inside: