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Halley's comet moves about the Sun in an elliptical orbit, with its closest approach to the Sun being 0.817 AU and its greatest dis- tance

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Halley's comet moves about the Sun in an elliptical orbit, with its closest approach to the Sun being 0.817 AU and its greatest dis- tance being 38.1 AU (1 AU= the Earth-Sun distance). If the comet's speed at closest approach is 79.7 km/s, what is its speed when it is farthest from the Sun? You may assume that its angular momen- tum about the Sun is conserved. Answer in units of km/s. Answer in units of km/s

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