Calculating Force of Gravity with Fg = (G m1 Me)/Re^2

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SUMMARY

The equation for calculating the force of gravity, Fg = (G m1 Me)/Re^2, accurately represents gravitational force despite several simplifying assumptions. While factors such as the Earth's non-spherical shape, orbital eccentricity, drag forces, and centrifugal effects due to rotation exist, only the Earth's shape significantly impacts gravitational calculations. The density variations between continental and oceanic crusts also play a role in gravitational measurements but do not alter the fundamental equation of gravity itself.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with gravitational constant (G)
  • Knowledge of Earth's radius (Re) and its implications
  • Basic concepts of crustal density variations
NEXT STEPS
  • Research the implications of Earth's non-spherical shape on gravitational calculations
  • Study the effects of centrifugal force on weight measurements
  • Explore the variations in Earth's crust density and their impact on gravity
  • Learn about gravitational anomalies and their significance in geophysics
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Students of physics, geophysicists, and anyone interested in understanding the complexities of gravitational force and its calculations.

Lucky_69
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does the following equation

Fg = (G m1 Me)/Re^2

the R is the radius had to get the e subscript

neglect the fact that

the Earth isn't really a sphere?

that the Earth doesn't move in a complete circular orbit?

That the Earth experiances a drag force among others as it moves through space?

That the Earth spins and that it experiances a latitude-dependent centrifugal force?
 
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Yes, to all of them. However only the first is of any significance. The others do not effect the force of gravity in any way. The last will effect the measured weight of a body but not the Earth's gravity.
 
It also neglects the fact that the density of the Earth is inconsistent. Perhaps the largest inconsistency in density is that continental crust has more silicon dioxide which is lighter and therefore floats higher on the semi-molten mantle, while oceanic crust is more dense, contains more magnesium and iron (which makes basalt black), so the oceanic crust floats lower on the mantle.
 

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