Spectroscopic parallax: Stars have an apparent magnitudem, which is the brightness of light reaching Earth. They also have an absolute magnitude M, which is the intrinsic brightness and does not...

Spectroscopic parallax: Stars have an apparent magnitudem, which is the brightness of light reaching Earth. They also have an absolute magnitude M, which is the intrinsic brightness and does not depend on the distance from Earth. The difference S = m − M is the spectroscopic parallax. Spectroscopic parallax is related to the distance D from Earth, in parsecs, 35 by

S = 5 log D − 5 .

a. The distance to the star Kaus Astralis is 38.04 parsecs. What is its spectroscopic parallax?

b. The spectroscopic parallax for the star Rasalhague is 1.27. How far away is Rasalhague?

c. How is spectroscopic parallax affected when distance is multiplied by 10? d. The star Shaula is 3.78 times as far away as the star Atria. How does the spectroscopic parallax of Shaula compare to that of Atria?