21ST CENT.ASTRONOMY(LL)W/CODE WKBK PKG.
21ST CENT.ASTRONOMY(LL)W/CODE WKBK PKG.
6th Edition
ISBN: 9780393874921
Author: PALEN
Publisher: Norton, W. W. & Company, Inc.
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Chapter 12, Problem 43QP
To determine

The volume of comet tail that would hold 1019 molecules.

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The mass of the planet is approximately 74.8 times the mass of Jupiter. Calculate the average density of the planet. Give your answer in grams per cubic centimeter.
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.)
It is believed there are 2.7 x 1012  comets in the Oort Cloud, which has a radius of 71000.0 AU. Calculate the average volume that each comet has to itself. Then take the cube root of the average volume per comet to find their typical spacing in AU.
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