Newton's Law of Gravitation
Newton's Law of Gravitation in non-relativistic mechanics states that the acceleration on an object of mass due to another object of mass is equal to
where is the gravitational constant, is a vector from mass to mass and is the magnitude of that vector. The time t is scaled with the speed of light c
- .
The acceleration is independent of .
For definiteness. consider a particle of mass orbiting in the gravitational field of the earth with mass . The law of gravitation can be written
where is the average mass density inside a sphere of radius .
Read more about this topic: Theoretical Motivation For General Relativity, Stress-energy Tensor
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