Estimation quiz!
08-02-2020, 09:01 PM
Post: #34
 Maximilian Hohmann Senior Member Posts: 986 Joined: Dec 2013
RE: Estimation quiz!
Hello!

(08-02-2020 05:54 PM)Valentin Albillo Wrote:  And as the ratio of Moon's to Earth's diameter is about 0.27 this means that if the Moon's sphere has diameter 1 then Earth is a sphere of diameter ~3.7, and thus if 13 spheres could be easily contained within a sphere of diameter just 3, then a sphere of diameter 3.7 will hold way more, certainly more than your "11.8", let's say 23 ...

I am not so sure about that. After your 13 moons (the central one and the next layer of 12 adjacient to it) there is not enough space for another full layer of moons within the Earth's radius. The central moon has a radius of 0,27 to this you have to add the diameter of the next layer of 0,54, so the envelope of that lfirst ayer reaches out to 0,81). If at all, the extra moons need to fit into the gaps between the 12 moons of the first layer and the radius of the Earth. My guess is that there is no symmetrical solution for a maximum number of moons (as it seems to be the case with the old equation I found) but the 10 extra moons have to be added to one side only. But how can that be calculated?

Regards
Max
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