21ST CENT.AST.W/WKBK+SMARTWORK >BI<
6th Edition
ISBN: 9780393415216
Author: Kay
Publisher: NORTON
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Chapter 23, Problem 23QP
To determine
The requirement of dark matter for the current model of large-scale structure.
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Is there a way to quantify Dark Matter?
To what does cold refer to the term "cold dark matter"? Why do models of large-scale structure agree best with the dark matter being "cold"?
A galaxy's rotation curve is a measure of the orbital speed of stars as a function of distance
from the galaxy's centre. The fact that rotation curves are primarily flat at large galactocen-
tric distances (vrot(r) ~ constant) is the most common example of why astronomer's believe
dark matter exists. Let's work out why!
Assuming that each star in a given galaxy has a circular orbit, we know that the accelera-
tion due to gravity felt by each star is due to the mass enclosed within its orbital radius r and
equal to v?/r. Here, ve is the circular orbit velocity of the star. (a) Show that the expected
relationship between ve and r due to the stellar halo (p(r) xr-3.5) does not produce a flat
rotation curve. (b) Show that a p(r) ∞ r¯² density profile successfully produces a flat ro-
tation curve and must therefore be the general profile that dark matter follows in our galaxy.
Chapter 23 Solutions
21ST CENT.AST.W/WKBK+SMARTWORK >BI<
Ch. 23.1 - Prob. 23.1CYUCh. 23.2 - Prob. 23.2CYUCh. 23.3 - Prob. 23.3CYUCh. 23.4 - Prob. 23.4CYUCh. 23 - Prob. 1QPCh. 23 - Prob. 2QPCh. 23 - Prob. 3QPCh. 23 - Prob. 4QPCh. 23 - Prob. 5QPCh. 23 - Prob. 6QP
Ch. 23 - Prob. 7QPCh. 23 - Prob. 8QPCh. 23 - Prob. 9QPCh. 23 - Prob. 10QPCh. 23 - Prob. 11QPCh. 23 - Prob. 12QPCh. 23 - Prob. 13QPCh. 23 - Prob. 14QPCh. 23 - Prob. 15QPCh. 23 - Prob. 16QPCh. 23 - Prob. 17QPCh. 23 - Prob. 18QPCh. 23 - Prob. 19QPCh. 23 - Prob. 20QPCh. 23 - Prob. 21QPCh. 23 - Prob. 22QPCh. 23 - Prob. 23QPCh. 23 - Prob. 24QPCh. 23 - Prob. 25QPCh. 23 - Prob. 26QPCh. 23 - Prob. 27QPCh. 23 - Prob. 28QPCh. 23 - Prob. 29QPCh. 23 - Prob. 30QPCh. 23 - Prob. 31QPCh. 23 - Prob. 32QPCh. 23 - Prob. 33QPCh. 23 - Prob. 36QPCh. 23 - Prob. 37QPCh. 23 - Prob. 38QPCh. 23 - Prob. 45QP
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- Why is Hubble’s law considered one of the most important discoveries in the history of astronomy?arrow_forwardWhy do molecules, including H2 and more complex organic molecules, only form inside dark clouds? Why don’t they fill all interstellar space?arrow_forwardSuppose the stars in an elliptical galaxy all formed within a few million years shortly after the universe began. Suppose these stars have a range of masses, just as the stars in our own galaxy do. How would the color of the elliptical change over the next several billion years? How would its luminosity change? Why?arrow_forward
- What is dark matter? (200 words)arrow_forwardA galaxy at a distance of 25 Mpc has a recession velocity of 1875 km/sec. What is Hubble’s constant based on this one galaxy? Why is this not a good way to determine Hubble’s constant? Galaxy NGC 123 has a velocity away from us of 1,320 km/s and the Hubble Constant's value is 70 km/s/Mpc. How far away is the galaxy according to Hubble's Law?arrow_forwardWhat is the strongest piece of evidence for the existence of dark matter? As stars die, they transition to either a supergiant star or a white dwarf There is a 2.7 K background radiation that permeates the entire universe The rate of expansion of the universe is increasing The orbital speed of stars near the edge of galaxies is nearly the same as stars close to the center of the galaxyarrow_forward
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