INSTANT ACCESS FOR LIFE IN THE UNIVERSE
4th Edition
ISBN: 9780134081670
Author: Bennett
Publisher: PEARSON
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Chapter 11, Problem 54IF
(a)
To determine
The fraction of total emitted sunlight that reaches earth.
(b)
To determine
The fraction of sunlight reflected by earth.
(c)
To determine
Whether detecting Earth or Jupiter would be easier or harder. Also determine the role of size and distance of Jupiter on detectability.
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
Chapter 11 Solutions
INSTANT ACCESS FOR LIFE IN THE UNIVERSE
Ch. 11 - Prob. 1RQCh. 11 - Prob. 2RQCh. 11 - Prob. 3RQCh. 11 - How do habitable zones differ among stars of...Ch. 11 - Briefly describe the conditions under which...Ch. 11 - Why are extrasolar planets hard to detect...Ch. 11 - Briefly describe the astrometric, Doppler, and...Ch. 11 - Briefly summarize the planetary properties we can...Ch. 11 - Why does the Doppler method generally allow us to...Ch. 11 - How does the transit method tell us planetary...
Ch. 11 - How do the orbits of known extrasolar planets...Ch. 11 - Summarize the key features shown in Figure 11.20,...Ch. 11 - According to current statistics, how common arc...Ch. 11 - What types of worlds seem most likely to support...Ch. 11 - How might a stars habitable zone be wider than we...Ch. 11 - How might future imagery and spectroscopy allow us...Ch. 11 - Prob. 17RQCh. 11 - Prob. 18RQCh. 11 - What is the HertzsprungRussell diagram? How does a...Ch. 11 - Prob. 20RQCh. 11 - Date: February 16, 2025. Headline: Astronomers...Ch. 11 - Prob. 22TYUCh. 11 - Date: June 19, 2028. Headline: Spectrum Reveals...Ch. 11 - Date: November 7, 2020. Headline: New Images Show...Ch. 11 - Date: November 7, 2050. Headline: New Images Show...Ch. 11 - Date: July 20, 2020. Headline: Giant Planet Found...Ch. 11 - Date: September 15, 2045. Headline: Sun-Like Star...Ch. 11 - Prob. 28TYUCh. 11 - Date: December 13, 2033. Headline: Orphan Planet...Ch. 11 - Prob. 30TYUCh. 11 - Prob. 31TYUCh. 11 - Prob. 32TYUCh. 11 - Which method could detect a planet in an orbit...Ch. 11 - To determine a planets average density, we can use...Ch. 11 - Based on the model types shown in Figure 11.20, a...Ch. 11 - According to current statistics, about what...Ch. 11 - The term super-Earth means a planet that is (a)...Ch. 11 - Our best hope for determining that life exists on...Ch. 11 - Jupiter has had an important effect on life on...Ch. 11 - Prob. 40TYUCh. 11 - Prob. 41POSCh. 11 - Unanswered Questions. As discussed in this...Ch. 11 - Explaining the Doppler Method. Explain how the...Ch. 11 - Explaining the Transit Method. Explain how the...Ch. 11 - Comparing Methods. What are the strengths and...Ch. 11 - Super-Earth. Youve discovered a super-Earth...Ch. 11 - Stars with Habitable Planets. Based on what youve...Ch. 11 - Are Earth-Like Planets Common? Based on what you...Ch. 11 - Prob. 50IFCh. 11 - Science Fiction Planet. Choose one fictional...Ch. 11 - Number of Stars with Habitable Planets. Assume...Ch. 11 - Prob. 54IFCh. 11 - Finding Orbit Sizes. The Doppler method allows us...Ch. 11 - Finding a Planetary Mass. Using the Doppler...Ch. 11 - Transit of TrES-1. The planet TrES-1, orbiting a...Ch. 11 - The Doppler Formula. The amount of Doppler shift...Ch. 11 - Prob. 59IFCh. 11 - Future Mission. Imagine that a wealthy benefactor...Ch. 11 - Is It Worth It? Thanks to rapidly advancing...Ch. 11 - Prob. 62IFCh. 11 - Extrasolar Planet Mission. Learn about a proposed...
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