Stars and Galaxies
Stars and Galaxies
9th Edition
ISBN: 9781305120785
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 1, Problem 6RQ

Why are light-years more convenient than miles, kilometers, or AU for measuring the distances to stars and galaxies?

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What is the distance in meters to our Sun that is 500 light-seconds away?
Recall that Hubble’s Law is given by V=HR; this means that H has units of inverse seconds (1/sec).  A convenient laboratory set of units is to give H in km per sec per megaparsec.  A parsec is 3.26 light years and the speed of light is 3 X 105 km/sec. Use 3.156 X 107 sec/yr. The first data off the then new Hubble Space telescope suggested a value of H equal to 108 km per sec per megaparsec. What is H in inverse seconds? Hint divide by the number of km in a megaparsec.
Choose a unit distance in cm that would easily fit on a piece of paper. Let this be your scale distance, now divide your scale distance by 4.3 light years to get the scale that will allow you to convert between real distances and distances in your model. Scale = cm / 4.3 ly = cm / ly
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