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
Escape Velocity
Escape Velocity
Binomial Theorem: ((a+b)^n)= sum k=0->k=n((n!(a^(n-k))(b^k))/(k!(n-k)!))
-
- Posts: 523
- Joined: Mon Jun 03, 2013 4:54 pm
Re: Escape Velocity
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!
Always check your units or you will have no money!