21ST CENTURY ASTRONOMY >CUSTOM<
6th Edition
ISBN: 9781324027836
Author: Kay
Publisher: NORTON
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Chapter 19, Problem 31QP
(a)
To determine
The approximate measurement error in rotation velocity.
(b)
To determine
The percentage error of the measured velocity.
(c)
To determine
To explain whether shifting the black line would change the overall conclusion about redshift and distance.
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Problem 1
a. Derive an expression for the parallax angle as a function of the distance
to the observed object.
b. Based on this expression, is it easier to measure distances to nearby or
faraway objects?
Barnard’s star is an orange star in the constellation Ophiuchus. It has the largest known proper motion (10.3577"/yr) and the fourth-largest parallax angle (0.54901"). In the spectrum of this star, the H alpha line is observed to have a wavelength of 656.034 nm when measured from the ground.
a. Determine the radial velocity of Barnard’s star.
b. Determine the transverse velocity of Barnard’s star.
c. Calculate the speed of Barnard’s star through space.
Problem 1. The Sun as seen from Earth has an apparent magnitude of -26 in the B-band.
1. What is the Sun's absolute magnitude (in the B-band)?
2. What would its apparent magnitude be as seen from Jupiter? (Jupiter is approximately 5.2 AU from the
Sun.)
3. At a certain distance d from a Star A, its apparent brightness is f. If we were to travel at a relativistic
velocity to a point in space which is 5 times further away, how much fainter would the star appear to us?
(i.e. what fraction of its original apparent brightness would it now appear to us?)
Chapter 19 Solutions
21ST CENTURY ASTRONOMY >CUSTOM<
Ch. 19.1 - Prob. 19.1ACYUCh. 19.1 - Prob. 19.1BCYUCh. 19.2 - Prob. 19.2CYUCh. 19.3 - Prob. 19.3CYUCh. 19.4 - Prob. 19.4CYUCh. 19 - Prob. 1QPCh. 19 - Prob. 2QPCh. 19 - Prob. 3QPCh. 19 - Prob. 4QPCh. 19 - Prob. 5QP
Ch. 19 - Prob. 6QPCh. 19 - Prob. 7QPCh. 19 - Prob. 8QPCh. 19 - Prob. 9QPCh. 19 - Prob. 10QPCh. 19 - Prob. 11QPCh. 19 - Prob. 12QPCh. 19 - Prob. 13QPCh. 19 - Prob. 14QPCh. 19 - Prob. 15QPCh. 19 - Prob. 16QPCh. 19 - Prob. 17QPCh. 19 - Prob. 18QPCh. 19 - Prob. 19QPCh. 19 - Prob. 20QPCh. 19 - Prob. 21QPCh. 19 - Prob. 22QPCh. 19 - Prob. 23QPCh. 19 - Prob. 24QPCh. 19 - Prob. 25QPCh. 19 - Prob. 26QPCh. 19 - Prob. 27QPCh. 19 - Prob. 28QPCh. 19 - Prob. 29QPCh. 19 - Prob. 30QPCh. 19 - Prob. 31QPCh. 19 - Prob. 32QPCh. 19 - Prob. 33QPCh. 19 - Prob. 34QPCh. 19 - Prob. 35QPCh. 19 - Prob. 36QPCh. 19 - Prob. 37QPCh. 19 - Prob. 38QPCh. 19 - Prob. 39QPCh. 19 - Prob. 40QPCh. 19 - Prob. 41QPCh. 19 - Prob. 42QPCh. 19 - Prob. 43QPCh. 19 - Prob. 44QPCh. 19 - Prob. 45QP
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