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This proof of Kepler's 1st Law ( Planetary Law of Ellipses: Sun-Centered Model ) involves several mathematical systems such as vectors, calculus differentiation and integration, eccentricities of ellipses, and finally a lead into even General Relativity for "Mercury's Orbital Precession", all of which should be an encouragement for study and deeper understanding as to how our solar system, indeed our universe, operates. That is, take this Kepler proof as a challenge, not as an obstacle, for your mathematical development and overall skills. Do it slowly, slowly and guaranteed you will get it!
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