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WebAssign for Seeds/Backman's Foundations of Astronomy, 14th Edition [Instant Access], Multi-Term
14th Edition
ISBN: 9780357113356
Author: Seeds; Michael A.
Publisher: Cengage Learning US
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Textbook Question
Chapter 23, Problem 1RQ
Why didn’t ancient astronomers know of Uranus’s existence?
Expert Solution & Answer
To determine
The reason that the existence of Uranus was not known to ancient astronomers.
Answer to Problem 1RQ
The ancient astronomers thought Uranus as just a background star as it is too small and too far from the Earth that its movement is difficult to notice.
Explanation of Solution
Uranus was discovered in
Uranus is too small and too far from the Earth that it is difficult to notice it without a telescope.
Its larger time period shows that it moves very slowly around the Sun; therefore, ancient astronomers thought it as just another background star.
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Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
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[3 marks]
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B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
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d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
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A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
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Page 2
SECTION A
Answer ALL questions in Section A
[Expect to use one single-sided A4 page for each Section-A sub question.]
Question A1
SPA6308 (2024)
Consider Minkowski spacetime in Cartesian coordinates th
=
(t, x, y, z), such that
ds² = dt² + dx² + dy² + dz².
(a) Consider the vector with components V" = (1,-1,0,0). Determine V and V. V.
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[2 marks]
Write down the line element, the metric, the Christoffel symbols and the Riemann curvature
tensor in the new coordinates. [See the Appendix of this document.]
[5 marks]
(c) Determine V", that is, write the object in question A1.a in the coordinate system x'. Verify
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Chapter 23 Solutions
WebAssign for Seeds/Backman's Foundations of Astronomy, 14th Edition [Instant Access], Multi-Term
Ch. 23 - Why didnt ancient astronomers know of Uranuss...Ch. 23 - Describe the location of the equinoxes and...Ch. 23 - When during Uranuss seasonal cycle does every...Ch. 23 - How were the rotation periods of Uranus and...Ch. 23 - Why is belt-zone circulation difficult to detect...Ch. 23 - Prob. 6RQCh. 23 - Prob. 7RQCh. 23 - Describe four characteristics in common among all...Ch. 23 - Describe four differences between the two ice...Ch. 23 - Prob. 10RQ
Ch. 23 - What are hypotheses for the origin of the rings of...Ch. 23 - How do the characteristics of Uranuss and Neptunes...Ch. 23 - If Uranus and Neptune had no satellites at all,...Ch. 23 - Why might the surface brightness of ring particles...Ch. 23 - Both Uranus and Neptune have a blue-green tint...Ch. 23 - How are the atmospheres of Earth and Triton...Ch. 23 - Prob. 17RQCh. 23 - When Neptune was discovered, how was its position...Ch. 23 - How can small worlds like Triton and Pluto have...Ch. 23 - Why do you suspect that Triton had a geologically...Ch. 23 - If you visited the surface of Pluto and found...Ch. 23 - What evidence can you give that Pluto and Charon...Ch. 23 - Why was Pluto reclassified as a dwarf planet?Ch. 23 - How was the discovery of Neptune not accidental?Ch. 23 - What is the maximum angular diameter of Uranus as...Ch. 23 - One way to recognize a distant planet is by...Ch. 23 - What is the orbital velocity of Miranda around...Ch. 23 - Calculate Uranuss Roche radius. Are all of Uranuss...Ch. 23 - Prob. 5PCh. 23 - What is the escape velocity from the surface of an...Ch. 23 - What is the difference in the orbital velocities...Ch. 23 - Repeat Problem 2 for Pluto. In other words,...Ch. 23 - Given the size of Tritons orbit (r = 355,000 km)...Ch. 23 - Uranus is about 26,000 km in radius, and its main...Ch. 23 - Neptune is about 50,000 km in diameter, and its...Ch. 23 - Prob. 1LTLCh. 23 - Prob. 2LTLCh. 23 - Compare the interior cutaway sketches of the four...Ch. 23 - Prob. 4LTLCh. 23 - Review Figure 21-11. Which molecules can Triton...Ch. 23 - The image to the left shows how Uranus would look...
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