Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 13, Problem 12P
To determine
The combined mass of the binary star.
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A certain binary system consists of two stars that have equal masses and revolve in circular orbits around a fixed point half-way between them.
If the orbital velocity of each star is v=186 km/s and the orbital period of each is 11.3 days, calculate the mass M of each star. Give your answer in units of the solar mass, 1.99×1030 kg (e.g. if each planet's mass is 3.98×1030 kg, you would answer "2.00").
A planet is detected at 0.5" from its star. The star is 10 parsecs away. How many AU from its star is the planet?
velocity curve for a double line
spectroscopic binary is shown in the sketch.
The system is viewed edge-on, i.e., with an
inclination angle of i = 90°, so that the
maximum possible Doppler shifts for this
system are observed.
400
300
So = U, Ani
200
t0 = v Ain i
100
-100
-200
-300
400
O 1 2 3 1 s 1 8: 10
Time (days)
Find the orbital period of this binary in days.
Doppler Velocity (krn/sec)
Chapter 13 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 13 - Prob. 1QFRCh. 13 - Prob. 2QFRCh. 13 - Prob. 3QFRCh. 13 - Prob. 4QFRCh. 13 - Prob. 5QFRCh. 13 - Prob. 6QFRCh. 13 - Prob. 7QFRCh. 13 - Prob. 8QFRCh. 13 - Prob. 9QFRCh. 13 - Prob. 10QFR
Ch. 13 - Prob. 11QFRCh. 13 - Prob. 12QFRCh. 13 - Prob. 13QFRCh. 13 - Prob. 14QFRCh. 13 - Prob. 15QFRCh. 13 - Prob. 16QFRCh. 13 - Prob. 17QFRCh. 13 - Prob. 18QFRCh. 13 - Prob. 19QFRCh. 13 - Prob. 20QFRCh. 13 - Prob. 1TQCh. 13 - Would it be easier to measure a star's parallax...Ch. 13 - Prob. 3TQCh. 13 - Prob. 4TQCh. 13 - Prob. 5TQCh. 13 - Prob. 6TQCh. 13 - Prob. 7TQCh. 13 - Prob. 8TQCh. 13 - Prob. 9TQCh. 13 - Prob. 10TQCh. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - Prob. 17PCh. 13 - Prob. 1TYCh. 13 - Prob. 2TYCh. 13 - Prob. 3TYCh. 13 - Prob. 4TYCh. 13 - Prob. 5TYCh. 13 - Prob. 6TYCh. 13 - Prob. 7TYCh. 13 - Prob. 8TYCh. 13 - Prob. 9TY
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- What is the total mass of a binary star system with P = 20 years and a = 10 AU? a. 2 solar masses b. 2.5 solar masses c. 0.5 solar mass d. 80 solar masses e. 0.4 solar massarrow_forwardA star is observed to have a parallax of 0.0015". What is the distance to the star in units of AU?arrow_forwardThe 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.arrow_forward
- = 2000 K and a radius of R, A young recently formed planet has a surface temperature T Jupiter radii (where Jupiter's radius is 7 x 107 m). Calculate the luminosity of the planet and 2 determine the ratio of the planet's luminosity to that of the Sun.arrow_forwardWhat would be the Schwarzschild radius, in light years, if our Milky Way galaxy of 100 billion stars collapsed into a black hole? Compare this to our distance from the center, about 13,000 light years.arrow_forwardAs seen from Earth, the Sun has an apparent magnitude of about 26.7 . What is the apparent magnitude of the Sun as seen from Saturn, about 10 AU away? (Remember that one AU is the distance from Earth to the Sun and that the brightness decreases as the inverse square of the distance.) Would the Sun still be the brightest star in the sky?arrow_forward
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