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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
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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
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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
Once again:
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
For his Bijuudama to be considered Country Level, he would need to output over 7 teratons of kinetic energy.
