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I have a homework problem that involves the equation v=sqrt((g*R^2)/r) I am confused as to where this equation comes from. I know that Vcirc = sqrt((GM)/r) and Vesc = sqrt((2GM)/r)
For a circular orbit, yes.a=v^2/r is the equation for the normal component of acceleration
a=GM/r^2 derived from F= GMm/r^2
a satellite orbiting the earth only has a normal component of acceleration correct ?
You can. That comes from equating v^2/r with GM/r^2.this is the problem. Why can't you just use v^2=GM/r?