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Barnard’s Star is a famous and faint nearby star with a luminosity of 0.0004L, a distance...

  1. Barnard’s Star is a famous and faint nearby star with a luminosity of 0.0004L, a distance of 1.83 parsecs, and an apparent visual magnitude of 9.511. Betelgeuse is one of the most famous stars in the constellation Orion. Betelgeuse has a luminosity, at its brightest, of 150,000L, a parallax of 0.00451", and an apparent visual magnitude of 0.50. How far away would Betelgeuse have to be to have the same apparent visual magnitude of Barnard’s star? What would its parallax be? Show your work.
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