# 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

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## 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

- 1937: Eric Temple Bell:
*Men of Mathematics*... (previous) ... (next): Chapter $\text{VI}$: On the Seashore - 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {B}.25$: Kepler's Laws and Newton's Law of Gravitation