Kepler's Equation
Can we get close to a closed-form expression for the radial position of an elliptical orbit as a function of time? 0:00 - Introduction 4:01 - Simplifying the t(r) integral 5:54 - Some elliptical geometry 12:06 - A curious substitution 16:45 - Simplifying the integral again 22:30 - Kepler's 3rd Law 23:50 - The Kepler Equation Cf: • Kepler III: The Orbit and Binet Equation
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