Exam 13: Taking the Measure of Stars

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You observe a binary star system and find that star 1 has a velocity of 20 m/s while star 2 has a velocity of 40 m/s.What is the ratio of masses of the two stars You observe a binary star system and find that star 1 has a velocity of 20 m/s while star 2 has a velocity of 40 m/s.What is the ratio of masses of the two stars   ? If you find that the separation of the two stars is 0.5 AU and the orbital period is 70 days,then what are the individual masses of the two stars? ? If you find that the separation of the two stars is 0.5 AU and the orbital period is 70 days,then what are the individual masses of the two stars?

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The ratio of masses of stars in a binary system is simply inversely proportional to the ratio of velocities: The ratio of masses of stars in a binary system is simply inversely proportional to the ratio of velocities:   .Therefore,   .Using Kepler's third law,we can calculate the sum of the masses:   .Solving for the individual masses gives   ,and   . .Therefore, The ratio of masses of stars in a binary system is simply inversely proportional to the ratio of velocities:   .Therefore,   .Using Kepler's third law,we can calculate the sum of the masses:   .Solving for the individual masses gives   ,and   . .Using Kepler's third law,we can calculate the sum of the masses: The ratio of masses of stars in a binary system is simply inversely proportional to the ratio of velocities:   .Therefore,   .Using Kepler's third law,we can calculate the sum of the masses:   .Solving for the individual masses gives   ,and   . .Solving for the individual masses gives The ratio of masses of stars in a binary system is simply inversely proportional to the ratio of velocities:   .Therefore,   .Using Kepler's third law,we can calculate the sum of the masses:   .Solving for the individual masses gives   ,and   . ,and The ratio of masses of stars in a binary system is simply inversely proportional to the ratio of velocities:   .Therefore,   .Using Kepler's third law,we can calculate the sum of the masses:   .Solving for the individual masses gives   ,and   . .

It is not possible to detect a measurable parallax for even the closest stars without the use of a telescope.

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Mass determines the position of a star on the main sequence.

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A star with the same luminosity as the Sun,but which is twice as hot,must be four times as big.

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How is the unit of length known as a parsec defined?

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If we measure a star's luminosity and temperature,what other property of the star can we calculate? Explain how.

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Star A is exactly the same color as star B and appears equally bright.Through stellar parallax we find that star B is twice as far away from us as star A.Determine which star has the largest radii and how much larger it is.

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You discover a binary star system in which star A has a velocity of 10 km/s and star B has a velocity of 30 km/s.If you study the system further and find out that the orbital period is 30 days and the orbital separation is 0.3 AU then what are the masses of stars A and B?

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Parallax is used to measure

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The spectral class of a star is related to its

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If a star's measured parallax is 0.2 arcsec,what is its distance?

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Rigel is a star with an apparent magnitude of +0.1,and Betelgeuse is a star with an apparent magnitude of +0.4.Which star appears brighter,and what is the ratio of their brightnesses?

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B stars are cooler than M stars.

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When looking at a standard H-R diagram,the hottest stars are on the left-hand side of the diagram.

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Stars X and Y are 5 AU apart from each other.Star X is 4 times as massive as star Y.The center of mass of this system is __________ AU away from star X and __________ AU away from star Y.

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The faster-moving star in a binary is

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Explain how we can use spectroscopic parallax to determine the distance to a star farther away than a few hundred light-years.

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In a binary star system that contains stars with In a binary star system that contains stars with   and   ,the velocity of the   star will be __________ times the velocity of the   star. and In a binary star system that contains stars with   and   ,the velocity of the   star will be __________ times the velocity of the   star. ,the velocity of the In a binary star system that contains stars with   and   ,the velocity of the   star will be __________ times the velocity of the   star. star will be __________ times the velocity of the In a binary star system that contains stars with   and   ,the velocity of the   star will be __________ times the velocity of the   star. star.

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Eclipsing binary systems

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If a star's distance is 10 pc,what is its parallax?

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