Body behaves as Particle under Gravitation

Theorem

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


Proof


This theorem requires a proof.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
To discuss this page in more detail, feel free to use the talk page.
When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.



Historical Note

The fact that a 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
This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.