a) (Palen, et. al., 2nd, Problem 45) Rigel has a Hipparcos parallax of 0.00412 arcsec. Given Rigel and Betelgeuse appear almost equally bright in the sky, i) which star is actually more luminous? ii) Betelgeuse appears reddish while Rigel appears bluish white. Which star is larger and why?
a) (Palen, et. al., 2nd, Problem 45) Rigel has a Hipparcos parallax of 0.00412 arcsec. Given Rigel and Betelgeuse appear almost equally bright in the sky, i) which star is actually more luminous? ii) Betelgeuse appears reddish while Rigel appears bluish white. Which star is larger and why?
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Problem 4. Stellar Temperature, Color, and Size
- a) (Palen, et. al., 2nd, Problem 45) Rigel has a Hipparcos parallax of 0.00412 arcsec. Given Rigel and Betelgeuse appear almost equally bright in the sky,
- i) which star is actually more luminous?
- ii) Betelgeuse appears reddish while Rigel appears bluish white. Which star is larger and why?
- b) (Palen, et. al., 2nd, Problem 46) Sirius is actually a binary pair of two A-type stars. The brighter and fainter of the pair is called the Dog Star and Pup Star, respectively (they are in the constellation Canis Major). The Dog Star is 6,000 times brighter than the Pup Star even though both stars are the same distance from us. Compare the
- i) temperature
- ii) luminosities
iii) sizes (radii)
of these two stars. (CALCULATE using the principles of brightness and the Stefan-Boltzmann law, do not look up the answers! HINT: Star letter type is a measure of temperature)
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