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# hw1 - Physics 160 Stellar Astrophysics Homework#1 Due...

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Physics 160: Stellar Astrophysics Homework #1 Due Friday September 30 th at 5pm Reading: Carroll & Ostlie sections 1.3, 3.1-3.6 Problems: (120 points + 20 bonus points) (1) [15 pts] The two brightest stars in Orion, α Orionis ( aka Betelguese) and β Orionis ( aka Rigel) are located at opposite corners of the constellation Orion, at coordinates: α Ori: 05h 55m 10.3s, +07° 24 25.4 β Ori: 05h 14m 32.2s, 08° 12 05.9 (a) [10 pts] What is the angular separation of these two stars, and hence the angular size of the Orion constellation? Give your answer in arcseconds, arcminutes and degrees. (b) [5 pts] Both stars are located roughly 200 pc away. Using the small angle formula, what is the approximate physical separation of the two stars in parsecs? (2) [20 pts] Ground-based parallax measurements rely on the Earth’s orbit to provide the baseline for angular measurements. What if we performed parallax measurements from Jupiter instead, which has an orbital semi-major axis of 5.2 AU? (a) [5 pts] If the parallax angle for a star at 10 pc is 0.1” as measured from the Earth, what would the parallax angle be for the same star from Jupiter? (b) [5 pts] If the best measurement equipment available can measure an angle of 0.001”, what is the maximum distance we can measure by parallax from (i) Earth and (ii) Jupiter?

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hw1 - Physics 160 Stellar Astrophysics Homework#1 Due...

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