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Kepler’s First law states that a planet will move around the sun in an ellipse. Given the mass of the sun M, mass of the planet m, major axis a and semiminor axis b. 1. Show that the total energy of the planet-sun system is given by: E = -GMm/2a 2. With the sun at the origin and eccentricity e is small, show that the relationship between position and time can be computed: