Escape Velocity

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19683
Posts: 151
Joined: Wed Jun 05, 2013 12:15 pm

Escape Velocity

Post by 19683 »

For (r^-1), (r^0), (r^1), and (r^2), the escape velocity is infinite.
The potential energy difference between distance=r and distance=infinity is:
r^-1: G*m1*m2*(ln(infinity)-ln(r))=infinity
r^0: G*m1*m2*((infinity)-r)=infinity
r^1: G*m1*m2*(((infinity)^2)-(r^2))=infinity
r^2: G*m1*m2*(((infinity)^3)-(r^3))=infinity

velocity=((2*(potential energy))/m2)^-0.5=infinity
Binomial Theorem: ((a+b)^n)= sum k=0->k=n((n!(a^(n-k))(b^k))/(k!(n-k)!))
A Random Player
Posts: 523
Joined: Mon Jun 03, 2013 4:54 pm

Re: Escape Velocity

Post by A Random Player »

G in this simulation is 1, by the way.
$1 = 100¢ = (10¢)^2 = ($0.10)^2 = $0.01 = 1¢ [1]
Always check your units or you will have no money!
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