Universe: Stars And Galaxies
Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 17, Problem 74Q
To determine

(a)

To sketch:

The lightcurve of an eclipsing binary consisting of two identical stars in highly elongated orbits oriented so that their major axes are pointed towards the Earth.

To determine

(b)

To sketch:

The lightcurve of an eclipsing binary consisting of two identical stars in highly elongated orbits oriented so that their major axes are perpendicular to the line of sight.

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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.
Use a diagram to explain what is meant by the parallax angle, p, for a star observed twice from Earth, with a 6-month interval between each observation. Hence define the parsec, and calculate its value in astronomical units and metres. The star Betelgeuse is observed to have a parallax angle p = 4.5 × 10−3 arcseconds. State the distance of Betelgeuse in units of parsecs and light years.
The figure below shows the radial velocity of a star plotted as a function of time over the course of 20 days. Where is the planet in its orbit around the star when the star's radial velocity is 18 km/s? How do I determine this?

Chapter 17 Solutions

Universe: Stars And Galaxies

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