A comet’s perihelion distance is 1 AU, and its aphelion distance is 15 AU. In the following, we make a very crude calculation of the average rate of shrinkage of the comet. (a) Calculate the comet’s orbital period. (b) Estimate how many meters of ice the comet will lose each time it orbits the Sun. (Hint: To simplify the calculations, you may assume that ice sublimates off the comet’s surface during one tenth of its orbital period, that the average cometary distance over that period is 1.5 AU and the density of the cometary ice is 600 kg m−3.)

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A comet’s perihelion distance is 1 AU, and its aphelion distance is 15 AU. In the following, we make a very crude calculation of the average rate of shrinkage of the comet.
(a) Calculate the comet’s orbital period.
(b) Estimate how many meters of ice the comet will lose each time it orbits the Sun. (Hint: To simplify the calculations, you may assume that ice sublimates off the comet’s surface during one tenth of its orbital period, that the average cometary distance over that period is 1.5 AU and the density of the cometary ice is 600 kg m−3.) 

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