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 14RQ
To determine

The importance of studying astronomy.

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I am trying to calculate the gravitational mass (in solar masses)  I have the formula M= V^2 R / G (4.31 x 10^-6)  The paperwork says our numbers should be big but I am coming up with .002 etc.  What am I doing wrong?
Use Kepler's 3rd Law and the small angle approximation. a) An object is located in the solar system at a distance from the Sun equal to 41 AU's . What is the objects orbital period? b) An object seen in a telescope has an angular diameter equivalent to 41 (in units of arc seconds).  What is its linear diameter if the object is 250 million km from you?  Draw a labeled diagram of this situation.
I attempted to answer this question and I'm not sure what I am doing wrong. My formula says A.S. = 206265 (separation/distance from observer) I know to convert to the same units, so I ended up with 80 Million Km being 8 x 10 ^ -6 LY Could you please explain each step especially for the part that I got wrong for both A and B?
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