21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Question
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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Using MBH
=
6.6 × 10 Mo, calculate the below.
a. Find radius of the Schwarzschild sphere (Schwarzschild radius Rs). You
can calculated from the appropriate formula or just use the fact that for
an object of 1 solar mass Rs = 3 km.
b. Express Rs in km, in AU, in parsecs.
c. Using the distance to M87 and your result above, find angular radius of
the SMBH (Schwarzschild radius). Express it in arcseconds (") and micro-
arcseconds (pas)
d. Take the radius of Pluto's orbit equal to 40 AU and find its angular size
(in micro-arcseconds, pas) at the distance of M87.
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
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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