Horizons: Exploring the Universe (MindTap Course List)
Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 8, Problem 14RQ
To determine

Why astronomers don’t know the inclination of a spectroscopic binary? And how do they know the inclination of the eclipsing binary?

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The Algol binary system consists of a 3.7 Msun star and a 0.8 Msun star with an orbital period of 2.87 days.  Using Newton’s version of Kepler’s Third Law, calculate the distance, a, between the two stars.  Compare that to the size of Betelgeuse (you’ll need to look that up).   Newton’s Version of Kepler’s Law:    (M1 + M2) P2 = (4p2 /G) a3                     Rearrange the equation to solve for a. Pi, p, is equal to 3.14. IMPORTANT NOTE: Google the value of G (the Universal Gravitational Constant) or look it up in your text.  NOTICE THE UNITS.  You must convert every distance and time in your equation to the same units, otherwise, you’ll get an incorrect answer.  That means you must convert distances to meters, solar masses to kilograms, and time to seconds.   When you compare your value to the size of Betelgeuse, it will also help that they are in the same units.
"51 Pegasi" is the name of the first normal star (besides the Sun) around which a planet was discovered. It is in the constellation Pegasus the horse. Its parallax is measured to be 0.064 arcsec. a. What is its distance from us? b. The apparent brightness is 1.79 × 10-10 J/(s·m2 ). What is the luminosity? How does that compare with that of the Sun? Look up the temperature: how do
A star has a measured radial velocity of 300 km/s. If you measure the wavelength of a particular spectral line of Hydrogen as 657.18 nm, what was the laboratory wavelength (in nm) of the line? (Round your answer to at least one decimal place.) nm Which spectral line does this likely correspond to? Balmer-alpha (656.3 nm) Balmer-beta (486.1 nm) Balmer-gamma (434.0 nm) Balmer-del ta (410.2 nm)
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