Body behaves as Particle under Gravitation

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Theorem

A body of finite volume under the force of gravity behaves identically to a point mass under the same force.


Proof


Historical Note

The fact that a Body behaves as Particle under Gravitation was proved by Isaac Newton after considerable work.

Some sources suggest that it took Newton some $20$ years to resolve this, and this is what explains the delay in publishing his work.

Its truth justifies the mathematical derivation of Newton's Law of Universal Gravitation.


Sources