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Physics · L4 · From Newton's Law to Kepler's Laws

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How a central inverse-square force produces all three of Kepler's empirical laws.

by @openstemUpdated Physics
🌍 Newton: F = GmM/r², always centralNo torque about the central massAngular momentum conserved ⇒ Kepler 2nd lawInverse-square force ⇒ bound orbits are ellipses ⇒ Kepler 1st lawBalance gravity vs. centripetal need over a full periodT² = 4π²a³/GM ⇒ Kepler 3rd law

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