motion moonHow did Newton use his laws of motion to calculate the velocity of the moon?

I'm after the detailed(mathematical if possible) investigation of how he calculated the motion of the moon by knowing only the distance from the moon to te earth.

Or In general, how can I find out the Velocity of the moon just by assuming it follows an circular orbit so that I can use the laws that govern circular motion and the radius and period etc

Thanks

PS- I'm after a detailed analysis nothing short,I want to get to the heart of it.
Newtmotion moonon did not need his law's to calculate the speed of the moon.

If the moon runs in a circle, it travels 2πR km in 1 month. Dividing this gives 2πR km/month. You can change to miles/sec or m/sec if you like.
V=RW

where V=velocity(to be found out)

R=distance between earth and moon

W=angluar velocity of the moon around the earth.

we know that the moon completes a full revolution in 28 days or something like that. so we can calculate the effectivmotion moone angular velocity(also considering the angular velocity of the earth).

so i guess V can be calculated.

correct me if i'm wrong, this is just a crude thing i said...
Let
m = mass of moon,
M = mass of earth,
r = distance between the moon and the earth.

according to Newton's second law in general motion,

ΣF = m a

GMm/r2 = mv2/r

canceled out of "m",

v2 = GM/r

v could have determined.