Suppose the Suns gravity were switched off. The planets would leave their nearly circular orbits and fly

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

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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