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  3. 3 consider the planet mercury which has mass 334 x1023...

Question: 3 consider the planet mercury which has mass 334 x1023...

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3) Consider the planet Mercury which has mass 3.34 x1023 kg, radius 2.44x10 m, semimajor axis 5.79x1010 m, and eccentricity .206. a) What is the acceleration due to gravity on the surface of Mercury? b) What is the escape velocity from the surface of Mercury? c) Calculate the force exerted on Mercury by the sun at its perihelion and appihelion. d) What are the perihelion and appihelion velocities of Mercury? e) What is Mercurys angular momentum at these two locations? f) If a Mercury probe of mass 5000 kg has a circular orbit around Mercury at a distance of 1.50 Mercury radii above the planets surface, what is the velocity, energy and orbital period of the probe? g) If the probe in part f) increases its velocity by 20 %, what will be its new semimajor axis?
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