UNDERSTANDING THE UNIVERSE(LL)-W/CODE
3rd Edition
ISBN: 9780393869903
Author: PALEN
Publisher: NORTON
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Chapter 10, Problem 32QAP
To determine
The reason why we can measure the mass of only binary system stars other than the Sun.
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An astronomical image shows two objects that have the same apparent magnitude, i.e., the same brightness. However, spectroscopic follow up observations indicate that while one is a star that is within our galaxy, at a distance dgal away, and has the same luminosity as the Sun, the other is a quasar and has 100x the luminosity of the entire Milky Way galaxy. What is the distance to the quasar? (You may assume, for this rough calculation, that the Milky Way has 1011 stars and that they all have the luminosity as the Sun.) Give your response in Mpc. Value: dgal = 49 pc
#1 H
Problem Set on Binary Systems:
1.Consider two stars in orbit about a mutual center of mass. If a1 is the semimajor axis of
the orbit of star of mass m, and a, is the semimajor axis of the orbit of star of mass m2,
prove that the semimajor axis of the orbit of the reduced mass is given by a = a, + a2.
points)
Chapter 10 Solutions
UNDERSTANDING THE UNIVERSE(LL)-W/CODE
Ch. 10.1 - Prob. 10.1CYUCh. 10.2 - Prob. 10.2CYUCh. 10.3 - Prob. 10.3CYUCh. 10.4 - Prob. 10.4CYUCh. 10 - Prob. 1QAPCh. 10 - Prob. 2QAPCh. 10 - Prob. 3QAPCh. 10 - Prob. 4QAPCh. 10 - Prob. 5QAPCh. 10 - Prob. 6QAP
Ch. 10 - Prob. 7QAPCh. 10 - Prob. 8QAPCh. 10 - Prob. 9QAPCh. 10 - Prob. 10QAPCh. 10 - Prob. 11QAPCh. 10 - Prob. 12QAPCh. 10 - Prob. 13QAPCh. 10 - Prob. 14QAPCh. 10 - Prob. 15QAPCh. 10 - Prob. 16QAPCh. 10 - Prob. 17QAPCh. 10 - Prob. 18QAPCh. 10 - Prob. 19QAPCh. 10 - Prob. 20QAPCh. 10 - Prob. 21QAPCh. 10 - Prob. 22QAPCh. 10 - Prob. 23QAPCh. 10 - Prob. 24QAPCh. 10 - Prob. 25QAPCh. 10 - Prob. 26QAPCh. 10 - Prob. 27QAPCh. 10 - Prob. 28QAPCh. 10 - Prob. 29QAPCh. 10 - Prob. 31QAPCh. 10 - Prob. 32QAPCh. 10 - Prob. 33QAPCh. 10 - Prob. 34QAPCh. 10 - Prob. 35QAPCh. 10 - Prob. 36QAPCh. 10 - Prob. 37QAPCh. 10 - Prob. 38QAPCh. 10 - Prob. 39QAPCh. 10 - Prob. 40QAPCh. 10 - Prob. 41QAPCh. 10 - Prob. 42QAPCh. 10 - Prob. 43QAPCh. 10 - Prob. 44QAPCh. 10 - Prob. 45QAP
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- a) Calculate the period of the solar system's orbit around the Milky Way. Assume that we are 8.5 kpc from the galactic center and assume that the mass of the Milky Way interior to our orbit is ~ 10¹¹ solar masses. Alpha Centauri is a multiple star system only 1.34 parsecs away. The apparent magnitudes of the two main stars are: a Cen A: my = +0.01; a Cen B: my = +1.33. b) Calculate the ratio of the flux we receive in the V filter from a Cen A to the flux we receive from a Cen B. c) Calculate the absolute magnitude My of a Cen B.arrow_forwardMost stars (Main sequence) generate light through the same mechanism. Because of this, there is an empirical relation between their mass, M, and their Luminosity, L. This relation could be written in the form L/Lsun = (M/Msun, This relation is shown in the log-log diagram below. Find the value of a and round it to the nearest integer. 10 104 102 10-2 10-4 0.1 1.0 2.0 0.2 0.5 5.0 10.0 20.0 Mam (solar masses) Luminosty (solar units)arrow_forwardGiven that a pair of stars are found to be orbiting each other with a period of 11.86 [yrs] and a separation of 5.2 [AU], what is the binary star system's total mass (i.e.- M1+M2) expressed in units of our Sun's mass? a) 61.7 b) 39.5 c) .0162 d) 1 e) 1.0 x 10^30arrow_forward
- "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 doarrow_forwardWhich star in the table below is the closest to Earth? Star Name d (parsecs) Parallax (seconds of arc) Spectral Type $$ \delta $$ Cen 0.026 B2 IV HR 4607 0.039 G8 III HR 4758 20 G0 V HR 39801 0.005 M2 I 9 CMa 2.5 A1 V a. $$ \delta $$ Cen b. HR 4607 c. HR 4758 d. HD 39801 e. 9 CMaarrow_forwardUse the Schwarzchild formula, Rs = 2GM/c2 , where Rs = Radius of the star, in meters, that would cause it to become a black hole M = Mass of the star, in kilograms, G = A constant, called the gravitational constant = 6.7 * 10-11m3/kg .s2, c = Speed of light = 3 * 108 meters per second. to determine to what length the radius of the Sun must be reduced for it to become a black hole. The Sun’s mass is approximately 2 * 1030 kilograms ?arrow_forward
- Which star in the table below has the greatest diameter? Star Name d (parsecs) Parallax (seconds of arc) Spectral Type 65 Tau 0.025 A7 IV HR 4621 B2 IV $$ \alpha $$ Pic 20 A7 V 58 Ori 0.005 M2 I HR 2491 2.5 A1 V a. 65 Tau b. HR 4621 c. $$ \alpha $$ Pic d. 58 Ori e. HR 2491arrow_forwardWhich of the following is least reasonable regarding the mass of stars? Group of answer choices The vast majority of stars fall into the range of 0.08 to 100 solar mass. Stars which are too small cannot sustain nuclear fusion. Stars which are excessively big are too sluggish to sustain nuclear fusion. There are more stars on the low end than on the high end of the mass spectrum. A brown dwarf has a mass just below the least massive star.arrow_forwardAsap plzzzarrow_forward
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