Again, it's pretty remarkable

这很了不起
because this is going to be an r to the power of 2.001,

其实 r 的指数是 2.001
and you would certainly not know you're wrong

不过你肯定不会发现这个问题
because these numbers are not known that well.

因为这些数据都不是精确的
Newton just said,

牛顿当时就说
look, let me take the nearest integer power,

那么就让我选一个最接近的整数指数
this looks like close enough to 1 / r^2.

它看上去和 1 / r^2 最相近
It happens to be

但碰巧
1 / r^2 is a fantastically good approximation to the Law of Gravity.

1 / r^2 是引力定律绝妙的近似
So, we were also quite fortunate there,

在此我们也可谓幸运之极
the laws of gravity didn't have to be that simple.

但只是碰巧那么容易得到了引力定律而已
Okay, so now are we done,

好那问题是这样就解决了