Suppose the Suns gravity were switched off. The planets

Chapter 13, Problem 29

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Suppose the Suns gravity were switched off. The planets would leave their orbits and fly away in straight lines as described by Newtons first law. (a) Would Mercury ever be farther from the Sun than Pluto? (b) If so, find how long it would take Mercury to achieve this passage. If not, give a convincing argument that Pluto is always farther from the Sun than is Mercury.

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