Calc Eureka Seven - Coralians attack Ferris City

Calculations
After the Ageha Squads strike, a Kute-class Coralian manifests and Anti-Body Coralians attack. There's a good many calcs here, so let's fly onwards!

1. Kute-class Coralian size (again)
AIhj3jI.png

SZ8uV1f.png

V7KPWpi.png
The Kute-class Coralian is clearly visible from 720km away. Thankfully, this will make the rest of the calcs easy.
uJ4RIFB.png
object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))
= 2*atan(145/(1421/tan(70/2)))
= 0.0966216419 rad
= 5.536012290508129041 degrees

Enter that through the angscaler and we get a diameter of 69.622km, or 69622m (which is actually quite close to the first Kute-class we saw).

2. Ferris City Tower height

Each tower is also ridiculously large, and thankfully we have a chance to scale this one. This will be very straightforward.
L7Ye4Sn.png
345 pixels = 69.622km
1 pixel = 69.622km/345 = 0.201802899km
0.201802899km X 70 = 14.1262029km

That's bigger than Mount Everest. Each tower is an immense technological wonder.

4. Coralian collapses


The Coralian collapses (much like the first one). Once again, volume is obviously as a sphere.

R = 69622m/2
= 34811m

V = 4/3πr^3
= 4/3 X π X 34811^3
= 1.76700634e14m^3

Mass of air is 1.003kg/m^3.

M = 1.76700634e14 X 1.003kg
= 1.77230736e14kg
Let's get our timeframe, but firstly to note that the frame rate is 30 frames a second.
5HSnp7t.png

VbrgjyY.png

Now for the timeframe and the scaling...
OcHxJn4.png
326 pixels = 69622m
1 pixel = 69622m/326 = 213.564417m
WpFMIkG.png
Timeframe is 2 seconds and 15 frames.

T = 1s/30
= 33.3333333ms X 15
= 0.5s + 2s
= 2.5s

2 13.564417m X 10 = 2135.64417m
2135.64417m/ 2 = 1067.82209m
34811m - 1067.82209m = 33743.1779m

T = 33743.1779m/2.5s
= 13497.2712m/s

Finally...kinetic energy!

KE = (0.5)mv^2
= (0.5) X 1.77230736e14 X 13497.2712^2
= 1.61436225e22 joules
= 3.858418379541108667 teratons

3. Air Force Planes approach the Coralian


Several Air Force planes approach the Kute-class Coralian at great speeds.
ZTr9Xve.png
object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))
= 2*atan(332/(492/tan(70/2)))
= 0.618913529 rad
= 35.4611330953356472 degrees

The distance to the Coralian is 108.88km.
ExhddUd.png
Timeframe is 2 seconds and 6 frames.

T = 33.3333333ms X 6
= 0.2s + 2s
= 2.2s

object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))
= 2*atan(372/(492/tan(70/2)))
= 0.688011266 rad
= 39.420141799350418 degrees

The Coralian is now 97.17km away. We can finally get the distance the planes moved, and from their the speed.

L = 108.88km - 97.17km
= 11.71km

T = 11.71km/2.2s
= 5322.72727/340.29
= Mach 15.6417387

Final Results
2nd Kute-class Coralian size = 69.622km
Ferris City Tower height = 14.126km
2nd Kute-class Coralian collapses = 3.858 teratons
Air Force approaches the Coralian = Mach 15.642

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