Essential Cosmic Perspective
9th Edition
ISBN: 9780135795033
Author: Bennett
Publisher: PEARSON
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Chapter 10, Problem 15EAP
To determine
Whether the overall nebulartheoryseems adequate for describing the origins of other planetary systems.
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Draw a right-handed 3D Cartesian coordinate system (= x, y and z axes). Show a vector A with
tail in the origin and sticking out in the positive x, y and z directions. Show the angles between A
and the positive x, y and z axes, and call these angles α₁, α₂ and α3
Prove that Ax Acos α₁
Ay
= Acos α₂
A₂- Acos α3
solve for Vo
Draw a third quadrant vector C. (remember that boldface characters represent vector
quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-
axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,
show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these
angles p1 and p2, repectively.
a) Prove the following formulas for the components of C involving the standard angle (hint:
start with the formulas for the components based on the angle & and then use (look up if
necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =
3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))
-
C=Ccose
C₁=Csine
b) Prove the following formulas for the components of C:
C=Ccosp1
C=Ccosp2
Chapter 10 Solutions
Essential Cosmic Perspective
Ch. 10 - Prob. 1VSCCh. 10 - Prob. 2VSCCh. 10 - Prob. 3VSCCh. 10 - 4. Match the planet's po,sitions at points 1, 2,...Ch. 10 - How would the plot change if the planet were more...Ch. 10 - Prob. 1EAPCh. 10 - Prob. 2EAPCh. 10 - Prob. 3EAPCh. 10 - Prob. 4EAPCh. 10 - Prob. 5EAP
Ch. 10 - Prob. 6EAPCh. 10 - Prob. 7EAPCh. 10 - Prob. 8EAPCh. 10 - Prob. 9EAPCh. 10 - Prob. 10EAPCh. 10 - Prob. 11EAPCh. 10 - Prob. 12EAPCh. 10 - Prob. 13EAPCh. 10 - Prob. 14EAPCh. 10 - Prob. 15EAPCh. 10 - Prob. 16EAPCh. 10 - Prob. 17EAPCh. 10 - Prob. 18EAPCh. 10 - Prob. 19EAPCh. 10 - Prob. 20EAPCh. 10 - Prob. 21EAPCh. 10 - Prob. 22EAPCh. 10 - Prob. 23EAPCh. 10 - It’s the year 2025: The TESS mission has announced...Ch. 10 - Prob. 25EAPCh. 10 - Prob. 26EAPCh. 10 - 27. Which method co uld detect a planet in an...Ch. 10 - Which detection method(s) measure(s) gravitational...Ch. 10 - 29. Which one of the following can the transit...Ch. 10 - 30. To determine a planet's average density, we...Ch. 10 - 31. Based on the model types shown in Figure 10.12...Ch. 10 - Look at the dot for Jupiter in Figure 10.13, then...Ch. 10 - 33. The term "super-Earth" refers to a planet that...Ch. 10 - 34. What's the best explanation for the location...Ch. 10 - 35. Based on computer models, when is planei ary...Ch. 10 - Prob. 36EAPCh. 10 - When Is a Theory Wrong? As discussed in this cha...Ch. 10 - Unanswe,erd Questions. As discussed in this...Ch. 10 - Unanswered Questions. As discussed in this...Ch. 10 - Group Activity: Time to Move On. A common theme in...Ch. 10 - 40. Explaining the Doppler Method. Explain how the...Ch. 10 - Prob. 42EAPCh. 10 - 42. No Hot Jupiters Here. How do we think hot...Ch. 10 - 43. Low-Density Planets. Only one planet in our...Ch. 10 - Prob. 46EAPCh. 10 - Transit of TrES-1. The planet TrES-1, orbiting a...Ch. 10 - 47. Planet Around 51 Pegasi. The star 51 Pegasi...
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