There's a couple of space calcs I've been meaning to recalc, so now's as good a time as any to go over them once more.
1. Arc Gurren Lagann's Giga Drill Break
Arc Gurren Lagann attacks an Ashtanga with a Giga Drill, to absolutely no effect at all. Arc Gurren Lagann is officially stated to be between 5km to 10km tall.
612 + 936 = 1548 pixels
1548 pixels = 5km
1 pixel = 5km/1548 = 0.00322997416km
0.00322997416km X 280 = 0.904392765km (904.392765m)
1548 = 10km
1 pixel = 10km/1548 = 0.00645994832km
0.00645994832km X 280 = 1.80878553km (1808.78553m)
While we're on it, we'll find the volume and mass of the giga drill.
44 pixels = 904.392765m
1 pixel = 904.392765m/44 = 20.554381m
20.554381m X 376 = 7728.44726m
7728.44726m/2 = 3864.22363m
20.554381m X 1190 = 24459.7134m
44 pixels = 1808.78553m
1 pixel = 1808.78553m/44 = 41.108762m
41.108762m X 376 = 15456.8945m
15456.8945m/2 = 7728.44725m
41.108762m X 1190 = 48919.4268m
Volume as a cone.
(Low end)
V = πr^2h/3
= π X 3864.22363^2 X 24459.7134/3
= 3.82476262e11m^3
(High end)
V = πr^2h/3
= π X 7728.44725^2 X 48919.4268/3
= 3.05981008e12m^3
For our mass, we'll go with a low end of titanium and a high end of steel, which respectively weigh 4500kg/m^3 and 7850kg/m^3.
(Low low end)
M = 3.82476262e11 X 4500kg
= 1.72114318e15kg
(Low high end)
M = 3.82476262e11 X 7850kg
= 3.00243866e15kg
(High low end)
M = 3.05981008e12 X 4500kg
= 1.37691454e16kg
(High high end)
M = 3.05981008e12 X 7850kg
= 2.40195091e16kg
Next, to scale the distance from the Ashtanga. A single Ashtanga is 76067.0105km long.
1388 pixels = 76067.0105km
1 pixel = 76067.0105km/1388 = 54.8033217km
54.8033217km X 85 = 4658.28234km
= 0.296112429 rad
= 16.9659924431093323 degrees
Enter those values into the angscaler, and we can determine that the Ashtanga is 15616km away. Let's get our timeframe.
Timeframe is 10 seconds and 13 frames.
T = 1s/24
= 41.6666667ms X 13
= 0.541666667s + 10s
= 15616km/10.5416667s
= 1481359.68/340.29
= Mach 4353.22719
At last, we come to our kinetic energy
(Low low end)
KE = (0.5)mv^2
= (0.5) X 1.72114318e15 X 1481359.68^2
= 1.8884611e27 joules
= 451.35303537284897857 petatons
(Low high end)
KE = (0.5)mv^2
= (0.5) X 3.00243866e15 X 1481359.68^2
= 3.29431548e27 joules
= 787.36029636711282365 petatons
(High low end)
KE = (0.5)mv^2
= (0.5) X 1.37691454e16 X 1481359.68^2
= 1.51076888e28 joules
= 3.6108242829827918285 exotons
(High high end)
KE = (0.5)mv^2
= (0.5) X 2.40195091e16 X 1481359.68^2
= 2.63545237e28 joules
= 6.2988823374760995648 exotons
Now the hard parts out of the way, time for the easy bit; getting the mass energy to form said giga drill.
(Low low end)
E = mc^2
= 1.72114318e15 X 299792458^2
= 1.54688635e32 joules
= 36.971471080305931878 zettatons
(Low high end)
E = mc^2
= 3.00243866e15 X 299792458^2
= 2.69845729e32 joules
= 64.494677103250481309 zettatons
(High low end)
E = mc^2
= 1.37691454e16 X 299792458^2
= 1.23750907e33 joules
= 295.7717662523900799 zettatons
(High high end)
E = mc^2
= 2.40195091e16 X 299792458^2
= 2.15876582e33 joules
= 515.9574139579350458 zettatons
2. King Kittan's final flight
Space King Kittan flies fast. Might not look fast, but remember Super Galaxy Dai-Gurren is the size of the Moon. The diameter of the Moon is 3474.2km.
260 pixels = 3474.2km
1 pixel = 3474.2km/260 = 13.3623077km
13.3623077km X 153 = 2044.43308km
13.3623077km X 484 = 6467.35693km
13.3623077km X 51 = 681.477693km
973 pixels = 681.477693km
1 pixel = 681.477693km/973 = 0.700388174km
0.700388174km X 1216 = 851.67202km
All we need next is the timeframe.
Timeframe is 19 frames.
T = 1s/24
= 41.6666667ms X 19
= 0.791666667s
= 851.67202km/0.791666667s
= 1075796.24/340.29
= Mach 3161.41009
3. Super Galaxy Dai-Gurren drags the Moon
Super Galaxy Dai-Gurren drags the Moon back into realspace. Straightforward enough. The Moon weighs 7.353 X 10^22kg (or 7.35300e22kg) and as said above, has a diameter of 3474.2km. From when the Moon is first dragged out to when the shining around the Moon stops.
Timeframe is 10 seconds and 5 frames.
T = 1s/24
= 41.6666667ms X 5
= 0.208333333s + 10s
= 10.2083333s
= 3474.2km/10.2083333s
= 340329.797m/s
KE = (0.5)mv^2
= (0.5) X 7.35300e22 X 340329.797^2
= 4.25828299e33 joules
= 1.0177540607074568868 yottatons
Final Results
Arc Gurren Lagann rushes the Ashtanga = Mach 4353.227
Arc Gurren Lagann's Giga Drill kinetic energy (low low end) = 451.353 petatons
Arc Gurren Lagann's Giga Drill kinetic energy (low high end) = 787.360 petatons
Arc Gurren Lagann's Giga Drill kinetic energy (high low end) = 3.611 exotons
Arc Gurren Lagann's Giga Drill kinetic energy (high high end) = 6.299 exotons
Arc Gurren Lagann's Giga Drill mass energy (low low end) = 36.971 zettatons
Arc Gurren Lagann's Giga Drill mass energy (low high end) = 64.495 zettatons
Arc Gurren Lagann's Giga Drill mass energy (high low end) = 295.772 zettatons
Arc Gurren Lagann's Giga Drill mass energy (high high end) = 515.957 zettatons
Super Galaxy Dai-Gurren length = 6467.357 kilometers
Space King Kittan's final flight = Mach 3161.410
Super Galaxy Dai-Gurren tows the Moon = 1.018 yottatons
1. Arc Gurren Lagann's Giga Drill Break
1548 pixels = 5km
1 pixel = 5km/1548 = 0.00322997416km
0.00322997416km X 280 = 0.904392765km (904.392765m)
1548 = 10km
1 pixel = 10km/1548 = 0.00645994832km
0.00645994832km X 280 = 1.80878553km (1808.78553m)
While we're on it, we'll find the volume and mass of the giga drill.
1 pixel = 904.392765m/44 = 20.554381m
20.554381m X 376 = 7728.44726m
7728.44726m/2 = 3864.22363m
20.554381m X 1190 = 24459.7134m
44 pixels = 1808.78553m
1 pixel = 1808.78553m/44 = 41.108762m
41.108762m X 376 = 15456.8945m
15456.8945m/2 = 7728.44725m
41.108762m X 1190 = 48919.4268m
Volume as a cone.
(Low end)
V = πr^2h/3
= π X 3864.22363^2 X 24459.7134/3
= 3.82476262e11m^3
(High end)
V = πr^2h/3
= π X 7728.44725^2 X 48919.4268/3
= 3.05981008e12m^3
For our mass, we'll go with a low end of titanium and a high end of steel, which respectively weigh 4500kg/m^3 and 7850kg/m^3.
(Low low end)
M = 3.82476262e11 X 4500kg
= 1.72114318e15kg
(Low high end)
M = 3.82476262e11 X 7850kg
= 3.00243866e15kg
(High low end)
M = 3.05981008e12 X 4500kg
= 1.37691454e16kg
(High high end)
M = 3.05981008e12 X 7850kg
= 2.40195091e16kg
Next, to scale the distance from the Ashtanga. A single Ashtanga is 76067.0105km long.
1 pixel = 76067.0105km/1388 = 54.8033217km
54.8033217km X 85 = 4658.28234km
= 2*atan(509/(1617/tan(70/2)))
= 0.296112429 rad
= 16.9659924431093323 degrees
Enter those values into the angscaler, and we can determine that the Ashtanga is 15616km away. Let's get our timeframe.
T = 1s/24
= 41.6666667ms X 13
= 0.541666667s + 10s
= 15616km/10.5416667s
= 1481359.68/340.29
= Mach 4353.22719
At last, we come to our kinetic energy
(Low low end)
KE = (0.5)mv^2
= (0.5) X 1.72114318e15 X 1481359.68^2
= 1.8884611e27 joules
= 451.35303537284897857 petatons
(Low high end)
KE = (0.5)mv^2
= (0.5) X 3.00243866e15 X 1481359.68^2
= 3.29431548e27 joules
= 787.36029636711282365 petatons
(High low end)
KE = (0.5)mv^2
= (0.5) X 1.37691454e16 X 1481359.68^2
= 1.51076888e28 joules
= 3.6108242829827918285 exotons
(High high end)
KE = (0.5)mv^2
= (0.5) X 2.40195091e16 X 1481359.68^2
= 2.63545237e28 joules
= 6.2988823374760995648 exotons
Now the hard parts out of the way, time for the easy bit; getting the mass energy to form said giga drill.
(Low low end)
E = mc^2
= 1.72114318e15 X 299792458^2
= 1.54688635e32 joules
= 36.971471080305931878 zettatons
(Low high end)
E = mc^2
= 3.00243866e15 X 299792458^2
= 2.69845729e32 joules
= 64.494677103250481309 zettatons
(High low end)
E = mc^2
= 1.37691454e16 X 299792458^2
= 1.23750907e33 joules
= 295.7717662523900799 zettatons
(High high end)
E = mc^2
= 2.40195091e16 X 299792458^2
= 2.15876582e33 joules
= 515.9574139579350458 zettatons
2. King Kittan's final flight
1 pixel = 3474.2km/260 = 13.3623077km
13.3623077km X 153 = 2044.43308km
13.3623077km X 484 = 6467.35693km
13.3623077km X 51 = 681.477693km
1 pixel = 681.477693km/973 = 0.700388174km
0.700388174km X 1216 = 851.67202km
All we need next is the timeframe.
T = 1s/24
= 41.6666667ms X 19
= 0.791666667s
= 851.67202km/0.791666667s
= 1075796.24/340.29
= Mach 3161.41009
3. Super Galaxy Dai-Gurren drags the Moon
Super Galaxy Dai-Gurren drags the Moon back into realspace. Straightforward enough. The Moon weighs 7.353 X 10^22kg (or 7.35300e22kg) and as said above, has a diameter of 3474.2km. From when the Moon is first dragged out to when the shining around the Moon stops.
T = 1s/24
= 41.6666667ms X 5
= 0.208333333s + 10s
= 10.2083333s
= 3474.2km/10.2083333s
= 340329.797m/s
KE = (0.5)mv^2
= (0.5) X 7.35300e22 X 340329.797^2
= 4.25828299e33 joules
= 1.0177540607074568868 yottatons
Final Results
Arc Gurren Lagann rushes the Ashtanga = Mach 4353.227
Arc Gurren Lagann's Giga Drill kinetic energy (low low end) = 451.353 petatons
Arc Gurren Lagann's Giga Drill kinetic energy (low high end) = 787.360 petatons
Arc Gurren Lagann's Giga Drill kinetic energy (high low end) = 3.611 exotons
Arc Gurren Lagann's Giga Drill kinetic energy (high high end) = 6.299 exotons
Arc Gurren Lagann's Giga Drill mass energy (low low end) = 36.971 zettatons
Arc Gurren Lagann's Giga Drill mass energy (low high end) = 64.495 zettatons
Arc Gurren Lagann's Giga Drill mass energy (high low end) = 295.772 zettatons
Arc Gurren Lagann's Giga Drill mass energy (high high end) = 515.957 zettatons
Super Galaxy Dai-Gurren length = 6467.357 kilometers
Space King Kittan's final flight = Mach 3161.410
Super Galaxy Dai-Gurren tows the Moon = 1.018 yottatons
