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Unformatted text preview: Quiz: Homework Set 5 https://angel.msu.edu/section/content/default.asp?WCI=pgTool%5FQu... 1 of 4 11/1/2007 10:42 AM Homework Set 5 1. [3 pts] You observe two stars of equal mass in a binary system. Each of the stars is in a circular orbit about their common center of mass. You see the orbit face-on, and the separation of the stars, as seen from the Earth, subtends an angle on the sky = 0.00002 radians. From other data, we know that the distance " d " from the Earth to the binary system is 379905 astronomical units (AU). What is the true separation " a " (measured in AU) Quiz: Homework Set 5 https://angel.msu.edu/section/content/default.asp?WCI=pgTool%5FQu... 2 of 4 11/1/2007 10:42 AM between the two stars? Round your answer to two decimal places of accuracy. Do NOT enter the units (AU). The above drawing shows the relationships involved. The arcsecond is the unit commonly used in astronomy for measuring small angles. One second of arc = 1/3600 degree, and there are 360 degrees in a circle. However, these units are a completely arbitrary convention. The radian is the natural unit for measuring angles. There are 2 radians in a circle. The advantage of the radian is that the relationship between radians in a circle....
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- Spring '08