initial crater size scaling
more scaling:
Spoiler:
well, first of all distance from crater to the PoV (panel height = 1300 there)
2*atan(366.55/(1300/tan(70/2))) = 22.33672801645718 degrees
size = 99.68km
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distance = 252.44 km .. that is like the hypotenuse of a triangle
Spoiler:
we need that angle to get height .. we can get it
we know that the crater is in fact, a circle, yet the blue diameter in pic is much shorter then the red .. perspective ! we have a ratio of how much shorter the distance looks then it really is
crater : 78.02/366.55 = 0.21284954303642
now
Spoiler:
^ something like this
orange line = perceived size
red line = real
we have both .. angle ABC is 90degrees and sinA = BC/AC = half of perceived / half of real .. it's our earlier 0.21284954303642 ratio
so sin A = 0.21284954303642
A = 12.289395228244101160346986154081 degrees
so sin(12.289395228244101160346986154081) = height/252.44
height = 252.44 * sin(12.289395228244101160346986154081) = 53.73 km
now getting mountain size & crater depth :
mountain's further back from the center and red diameter, so angsizing
distance is what we have for crater + crater radius, so 252.44 + (99.68/2) = 302.28 km .. this isn't strictly correct, since the line isn't straight, but rather composed of 2 lines ("hypotenuse" + horizontal radius), but the angle is so narrow that it won't matter much .. just to be sure I'll take it as 290km
2*atan(40/(1300/tan(70/2))) = 2.46847575234475 degrees
distance = 290 km
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mountain diameter = 12.496 km
mountain height = 9.75/40*12.496 = 3.0459 km
crater depth = 22.25/40*12.496 = 6.9509 km
now, for Juubis BB
view height = 53730 m (see above)
update : planet size = 199,212 km
horizon distance = sqrt(199.212*53700) = 3271 km
explosion size/diameter :
Spoiler:
2*atan(369/(1300/tan(70/2))) = 22.48223577498115 degrees
3271 km distance = 1300 km size
Final Tally
Crater Diameter = 99.68 km
Crater Depth = 6.9509 km
Mountain in the back of the crater Height = 3.0459 km
Mountain in the back of the crater Diameter = 12.496 km
Juubis BB explosion Diameter = 1300 km (updated)
beam speed and BBs yields:
beam speed:
Distance 1 = crater radius : 99.68/2 = 49.84 km
Distance 2 : mountain height = 3.0459 km (see scalings)
Spoiler:
half a mountain height = 3.0459/2 = 1.52295 km = 22 px
beam D2 = panel width = 859 px = 859/22*1.52295 = 59.46 km
beam distance = 49.84 + 59.46 = 109.3 km
time = 2 seconds (
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)
speed = 54.65 km/s = Mach 160.6
BM + Hachibis BB yield:
Quote:
Mountain in the back of the crater Height = 3.0459 km
Mountain in the back of the crater Diameter = 12.496 km
destroyed half of this mountain at the edge of the crater
destroyed volume = (1/3*pi*r^2*h)/2 = (1/3*pi*(12496/2)^2*3046)/2 = 62260207398.09 m^3
energy = 62260207398.09 * 1000000 * 214.35 = 13345475455780591500 J
cross-section area = 1/2*b*h = 1/2*12496*3046 = 19031408 m^2
J/m^2 = 13345475455780591500/19031408 = 701234267889.2 J/m^2
surface area of dome = 2*pi*r^2 = 2*pi*49840^2 = 15607593152.578 m^2
Total yield = 701234267889.2*15607593152.578 = 10944579157860524821598 J = 2615817 MT = 2.61 Teraton
Juubis BB yield:
Spoiler:
there are a bunch of rocks launched, decided to use this one, there are 2 bigger ones, but they look weird and using smaller one is a safer low-end
will treat it as an ellipsoid
369 px (red diameter line) = 1300 km
11 px = 11/369*1300 = 38.75 km
5.5 px = 5.5/369*1300 = 19.38 km
Volume = 4/3*pi*(38750/2)*(19380/2)^2 = 7620401863985.59 m^3
Mass = 7620401863985.59*2700 = 20575085032761093 kg
80 px = 80/369*1300 = 281.84 km - launched rock altitude
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- this calc shows that an identical BB launched a few pages later took 10.93s to fly towards the Alliance HQ and fully explode .. the one we're calcing would've taken even less times since it flew less .. that's gonna be our low-end timeframe
281840m/10.93s = 25786 m/s
KE = 0.5*m*v^2 = 0.5*20575085032761093*25786^2 = 6840370096248046876055514 J
cross-section area of rock (ellipse) = pi*A*B = pi*(38750/2)*(19380/2) = 589814385.75 m^2
J/m^2 = 6840370096248046876055514 / 589814385.75 = 11597496197977478.5 J/m^2
explosion (dome) surface area = 2*pi*r^2 = 2*pi*(1300000/2)^2 = 2654645792283 m^2
Total yield = 2654645792283*11597496197977478.5 = 30787244482979003634823098415 J = 7.4 Exaton
Final Tally
Juubis 1-st Form Beam speed = Mach 160.6
BM Narutos + Hachibis max power combined BB = 2.61 Teraton
second stage Juubis BB = 7.4 Exaton