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physics

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Halley's comet moves about the sun in an elliptical orbit with its closest approach to the SUn being .59AU and its greatest distance being 35AU (1AU=Earth-sun distance) if the comet's speed at closest approach is 54km/s what is its speed when it is farthest from the Sun? you may neglect any change in the comet's mass and assume that its angular momentum about the sun is conserved.

btw the answer in the back of the book is 910 m/s

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