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Question Number 51817 by peter frank last updated on 30/Dec/18

The earth moves arround  the sun in an elliptical  orbit with the sun at  one of its foci.the eccentricity  (1/3).the shortest distance  from the earth to sun   is 3000000km.Find the  furthest distance of the  earth from the sun.

$${The}\:{earth}\:{moves}\:{arround} \\ $$$${the}\:{sun}\:{in}\:{an}\:{elliptical} \\ $$$${orbit}\:{with}\:{the}\:{sun}\:{at} \\ $$$${one}\:{of}\:{its}\:{foci}.{the}\:{eccentricity} \\ $$$$\frac{\mathrm{1}}{\mathrm{3}}.{the}\:{shortest}\:{distance} \\ $$$${from}\:{the}\:{earth}\:{to}\:{sun}\: \\ $$$${is}\:\mathrm{3000000}{km}.{Find}\:{the} \\ $$$${furthest}\:{distance}\:{of}\:{the} \\ $$$${earth}\:{from}\:{the}\:{sun}. \\ $$

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