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SOLVED: 3. Comparing Ptolemaic and Copernican Models to the (true) Keplerian Model.Part I: Keplerian Model.Notes:(i) The planet orbits on the ellipse ???? (only the upper half of which is shown).(ii) The planet, P, moves around the Sun, S, with polar coordinates r and α. Ultimately, we want to determine r and α as functions of time, t.(iii) The ellipse parameters a (semimajor axis), b (semiminor axis), and e (eccentricity) are related by b=a √(1-e^2); the area of the ellipse is π a b.(iv) The ci
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