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Calculations wanted on masses and density gradients of planetary bodies
Using figures for the density of layers of the Earth from centre to surface, calculate total mass of the Earth and compare to standard values. Attached page shows a formula and data on layers of the Earth and how their density varies, from http://en.wikipedia.org/wiki/Structure_of_the_Earth. If there is not reasonable agreement between the calculated and reference masses, determine why and adjust formulas accordingly. Then, assuming the same density gradients occur from the surface down, calculate the corresponding masses for the Moon, Mars, Venus, and Mercury, and compare with published figures. (ZBL#101)
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This zomb is part of an extended research thrust into the composition, structure, history, and characteristics of Earth and solar planets and natural satellites.
As you go down from the surface towards the centre of a significant planet or moon, the density of the matter rises (due to increasing pressure from above). The rate of rise may be step-wise, rather than uniform, due to phase and other changes as pressure increases.
This work investigates the hypothesis that rocky planets or moons (here Earth, Moon, Mars, Venus, and Mercury) contain material of initially similar composition which is stratified by depth because of pressure, so that larger bodies reach higher densities at their centres. The attached report supports this hypothesis.
Moreover, the top surfaces of larger planets and moons, say to a depth of 30 km, may be subject to tectonic processes such as weathering and sedimentation which may alter their density. If the results in this study are recalculated with the top 30 km omitted, the hypothesis is supported even more closely.
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