Pyramid Science

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Sunday, November 15, 2009

Earth-Moon Relationship (Hypothetical)

01.12.2015 - this article has been reviewed/changed

The volume of the Moon is estimated at 21,958,115,460 cubic km and the approximate surface area of the Earth is 4 * π * 6371 * 6371 = 510,064,472 square km. Taking 29% as the proportion being land, this gives an area of 147,918,697 square km. The average depth of the global seas is 3.79 km and so a (very approximate) estimate of the volume of Earth's land areas is:

147,918,697 * 3.79 = 560,611,861 cubic km

Comparing theses two volumes for the Moon and Earth land:

  • Volume Earth land: 560,611,861 cubic km
  • Volume Moon: 21,958,115,460 cubic km
Ratio Earth's land : Moon = 1 : 39.2

Or only 2.55% Moon mass is necessary to produce all Earth land. The total volume by combining both these quantities produces:

560,611,861 + 21,958,115,460 = 22,518,727,320 cubic km

The dimensions of the original (Moon) object can be obtained from this spherical volume using the arithmetic relationship with the radius.

3/(4 * π) = r^3 = 0.2387 * 22,518,727,320 = 5,375,220,212

r = 1752 km

The difference between the radii is before and after a 'close encounter' (a splash of molten 'moon object' over the cooling Earth-planet) a reduction of just 14 km. This would be enough mass to produce all the Earth's land volume. (The actual radius of the Moon is 3475.5/2 = 1737.75km.)

1752 - 1738 km = 14 km

The difference in volumes (shell width) between the two spheres of radius 1752 km and 1738 km is sufficient to produce the quantity of Moon mass deposited on the Earth that yielded land raised above true ground level (average ground level beneath the sea).


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