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Homework #9
•Q1. You observe two Cepheid variable stars, A and B, which have the same average apparent magnitude. Star A brightens and dims with a period of 5 days, star B has a period of 18 days. Which is closer to Earth?
–Faster varying variables are less luminous, therefore Star A is less luminous than B. Therefore if Star A appears as bright from Earth as B, it must be closer.
•Q2. Which of the following is not a characteristic of the stars of the disk component of our galaxy?
–Randomly inclined orbits  
•Q3. If all the mass in our galaxy were centrally concentrated, we'd expect velocities to fall with increasing distance according to Kepler's laws. This is not seen in the disks of spiral galaxies. Galactic rotation curves appear "flat" with increasing distance. This must be due to:
–The gravitaional influence of "dark matter" in the halo.  
•Q4.  If the sun is 5 billion years old, how many times has it orbited the galaxy? Assume a circular orbit for the sun.
–Need velocity of the sun (about 220 km/s) and the orbital circumference (2πr), where r=8. 5kpc.  Number of orbits in 5 billion years is then 5 billion years/time for one orbit, which is circumference/220 km/s.  Converting units gives an orbital period of 240 million years.  Therefore in 5 billion years the sun has orbited about 21 times.
•Q5. If interstellar dust makes and RR Lyrae star look 1 magnitude fainter than it should, by how much will we overestimate its distance?
–Star looks 1 mag fainter.  Distance = 10 (m-M+5)/5 so our estimate will differ by a factor of 101/5 which is about 1.6.
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