OK, for those in the know.
The escape velocity of the Earth is 11.186 km/s
The escape velocity of the Moon is 2.38 km/s
We can work out the Moon’s escape velocity once knowing the Earth’s escape velocity, size and weight, and knowing the Moon’s size and weight.
So the moon is about .27265 is size of the earth, worked out above.
The mass of the moon is about 1/81 that of the Earth’s mass.
So if the earth was shrunk to the size of the moon, the escape velocity would be
.27265 ^ .5 = .5221, then we divide .5221 into 1 and get 1.91153
1.91153 time 11.186 km/s equals 21.425 km/s for the new size of the earth.
But the moon is 1/81 of the earth mass, so…….
81 ^ .5 = 9, then we divide 9 into 1 and get .11111
.11111 times 21.425 km/s we get 2.38 km/s for the moon’s escape velocity.
Now lets play with the shrinkage of the earth some more, let’s shrink is down to a radius of .82296 cm.
.82296 cm = 1.39755 ^ -9 of the Earth’s radius,
(1.39755 ^ -9) ^ .5 = 3.738 ^ -5
3.738 ^ -5 divide into 1 = 26,749.5
26,749.5 times Earth’s escape velocity of 11.186 km/s equals 299,200 km/s.
Does anybody but one person on this thread know what the last speed is about equal too.
Paul