Calc Gurren Lagann - Missile vs Death Spiral Machine's protective field

Space King Kittan uses Super Galaxy Dai-Gurren's missile (created from Simon's Spiral Power) to blow open a hole in the Spiral Death Machine's protective field. This is of note because the Death Spiral Machine is constantly absorbing mass and converting it to energy, but a huge amount of Spiral Power would disrupt that field, creating an opening. Meaning an even greater amount of energy is required to open it.

BioComputer LordGenome: The Death Spiral Machine is surrounded by a region of super-ultra-dense space. Even the Super Galaxy Dai-Gurren will be lucky to survive 300 seconds within it. A Spiral conversion field is in place around the machine. This field protects the machine by converting mass into Spiral Power.

Leeron: It negates the pressure and generates energy at the same time. Two birds with one stone...

BioComputer LordGenome: Still, that has a fatal flaw. A massive dose of Spiral Power will disrupt that process, and cause a localized collapse of the field.

Click to expand...

We can scale the size of Space King Kittan off Arc Gurren Lagann. Arc Gurren Lagann has a height of 5km (this figure is also in the novelizations and the script).
367 pixels = 5000m
1 pixel = 5000m/367 = 13.6239782m
13.6239782m X 120 = 1634.87738m
13.6239782m X 167 = 2275.20436m (2.27520436km)

Now we have Space King Kittan's height, we can find the minimum distance between it and the Death Spiral Machine's protective field.

object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))

Click to expand...

= 2*atan(132/(1617/tan(70/2)))
= 0.0773189632 rad
= 4.43005026769831467 degrees

Enter that into the angscaling calculator, and we have a distance of 29412m. Now, to scale the width of the hole.

object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))

Click to expand...

= 2*atan(2324/(1616/tan(70/2)))
= 1.19626928 rad
= 68.54118090532377 degrees

The gap is 40083m wide, or a radius of 20041.5m.
432 pixels = 40083m
1 pixel = 40083m/432 = 92.7847222m
92.7847222m X 652 = 60495.6389m
60495.6389m/2 = 30247.8194 meters

Now we have that, let's have the amount of matter turned into energy per second. We can see several trails leading into the Death Spiral Field.
Timeframe is 2 frames.

T = 1s/24
= 41.6666667ms X 2
= 83.3333334ms

870 pixels = 40083m
1 pixel = 40083m/870 = 46.0724138m
46.0724138m X 4 = 184.289655m
46.0724138m X 9 = 414.651724m
414.651724m - 184.289655m = 230.362069m

T = 230.362069m/83.3333334ms
= 2764.34483m/s

That's the amount of matter absorbed every second. With that, we can find the area of mass that would have been absorbed. Volume as a cylinder.

V = πr^2h
= π X 20041.5^2 X 2764.34483
= 3.4882093e12m^3

As for our masses, we'll go with a low end of water and a high end of uranium. Water has a mass of 1000kg/m^3, while uranium has a mass of 19,050kg.

(Low end)

M = 3.4882093e12 X 1000
= 3.4882093e15kg

E = mc^2
= 3.4882093e15 X 299792458^2
= 3.13504617e32 joules
= 74.929401768642449611 zettatons

(High end)

M = 3.4882093e12 X 19,050
= 6.64503872e16kg

E = mc^2
= 6.64503872e16 X 299792458^2
= 5.97226296e33 joules
= 1.4274051051625238351 yottatons

Now we have that, let's also find the speed with which Space King Kittan throws the missile.
Timeframe is 12 frames.

T = 1s/24
= 41.6666667ms X 12
= 0.5s

T = 29412m/0.5s
= 58824/340.29
= Mach 172.864322

Final Results
Space King Kittan height = 2.275km
Super Galaxy Dai-Gurren's missile opens up Death Spiral Machine's field (low end) = >74.929 zettatons
Super Galaxy Dai-Gurren's missile opens up Death Spiral Machine's field (high end) = >1.427 yottatons
Space King Kittan throws the missile = Mach 172.864