Can anyone explain to me Kepler's laws

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Kepler's laws describe the motion of planets in elliptical orbits around the sun, formulated through empirical observations. Newton later used his law of universal gravitation to provide a theoretical foundation for Kepler's laws, demonstrating their validity through mathematical proof. For a deeper understanding, calculus resources often include sections that derive Kepler's laws using vector calculus. The discussion emphasizes the importance of both Kepler's empirical formulation and Newton's theoretical advancements in understanding planetary motion. Additional resources were shared for further exploration of these concepts.
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Can anyone explain to me Kepler's laws and equations relative to how to use them? It would also be helpful if an understanding of how Newton proved his laws of universal gravitation using them... I want to be more clarified than what the book says.
 
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no no no, Newton used his law of universal gravitation to prove kepler's laws. kepler formulated his laws empirically. if you have a calculus book there should be a section at the end of the vector introduction that proves kepler's laws.
 
I see; then I'll check to see
 
Johannes Kepler (1571-1630)
Isaac Isaac (1642-1727),
For proof of Kepler's laws, see:
http://www.physics.upenn.edu/courses/gladney/mathphys/java/sect5/subsubsection5_1_1_1.html
For further detail on Newton's proof, see:
http://arxiv.org/abs/math/0112048
 
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alright...I'll check the sites out; thanks
 
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