Astronomy
Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Chapter 9, Problem 35E

The Moon requires about 1 month (0.08 year) to orbit Earth. Its distance from us is about 400,000 km (0.0027 AU). Use Kepler’s third law, as modified by Newton, to calculate the mass of Earth relative to the Sun.

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In a distant star system there are many inhabitable planets.  One of these planets is named Qomar.  Qomar is 3.2 AU's from its star and takes 6.5 Earth years to go around its  star once.    There is another planet in the same star system called Ferenginar.   Ferenginar is 0.9 AUs from the star.  What is the length of a Ferengi year (on Ferenginar) in terms of Earth years?
A new planet is discovered orbiting a distant star. Observations have confirmed that the planet has a circular orbit with a radius of 12 AU and takes 117 days to orbit the star. Determine the mass of the star. State your answer with appropriate mks units. [NOTE: AU ..stands.for...astronomical unit". It is the average distance between Earth & the Sun. 1 AU≈ 1.496 x 1011 m.] Enter a number with units. I be quite large and your calculator will display the answer as a power of 10. If, as an example, your answer was 8.54 x 1056, you would type "8.54e56" into the answer box (remember to state your units with your answer).]
Planet X orbits the star Omega with a "year" that is 492 days long.  Planet Y circles Omega at four times the orbital distance of planet X.  How many earth days is a year on planet Y?  Enter units as d.

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Kepler's Three Laws Explained; Author: PhysicsHigh;https://www.youtube.com/watch?v=kyR6EO_RMKE;License: Standard YouTube License, CC-BY