So let's cancel the r, and I get--cancel the mass.

消去 r 再消去质量
That's very interesting.

这很有趣
So, that says v^2·r = G·M.

那就是 v^2·r = G·M
It says, yes,

这就是说
you can have a circular orbit of any radius you like,

可以存在任何半径大小的圆周轨道
provided you move at the speed satisfying this equation.

只要运动速度满足这个等式就行了
And as long as you satisfy the equation,

等式一旦成立
I don't care if the thing you're spinning is a satellite or a potato,

不管是卫星还是马铃薯都可以
because the mass of the object drops out.

因为物体的质量消去了
So, the condition for orbit is

轨道的状态
independent of the object orbiting, again,

与在轨道上运动的物体本身无关
due to this cancellation of the mass on both sides.

因为两边的质量都消去了