Calc Dandyline (Space☆Dandy)

In the most recent episode, Dandy becomes the lovechild of Star Wars and Redline or some shit. So yeah, I expected some speed feats (which we got), but then Dandy and Prince split a fucking moon just by flying into it.


Darth came up the the executive conclusion that this mass has to be pretty big in order to be spherical.

My quick Google search yielded the following links and suggested about 400km for this spherical nature of this celestial body to be the case.

http://answers.yahoo.com/question/in...2160443AABfIhH
http://en.wikipedia.org/wiki/Hydrost...netary_geology
http://en.wikipedia.org/wiki/Mimas_(moon)

Now, I have no idea what the gravity on this moon would be, but I can just use density of continental crust (2700kg/m^3) as a low-end.

vsphere=(4/3)pir^3
v=(4/3)pi*200000^3
v=33510321638291127.877m^3

m=v*rho
m=33510321638291127.877*2700
m=90477868423386045267.9kg

Now for velocity.

(400000/624)42=26923.077m

Half of this because it split down the middle.

26923.077/2=13461.5385m

Each hemisphere of the moon crossed this distance in 38 frames, while my video file runs at 30fps.

13461.5385/(38/30)=10627.53m/s

Now for kinetic energy...

KE=.5mv^2
KE=.5(90477868423386045267.9)10627.53^2
KE=5.1e27 J

or about 1.22 exatons.