Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Textbook Question
Chapter 7, Problem 7E
Do all planetary systems look the same as our own?
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Students have asked these similar questions
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 7 Solutions
Astronomy
Ch. 7 - Venus rotates backward and Uranus and Pluto spin...Ch. 7 - What is the difference between a differentiated...Ch. 7 - What does a planet need in order to retain an...Ch. 7 - Which type of planets have the most moons? Where...Ch. 7 - What is the difference between a meteor and a...Ch. 7 - Explain our ideas about why the terrestrial...Ch. 7 - Do all planetary systems look the same as our own?Ch. 7 - What is comparative planetology and why is it...Ch. 7 - What changed in our understanding of the Moon and...Ch. 7 - If Earth was to be hit by an extraterrestrial...
Ch. 7 - List some reasons that the study of the planets...Ch. 7 - Imagine you are a travel agent in the next...Ch. 7 - What characteristics do the worlds in our solar...Ch. 7 - How do terrestrial and giant planets differ? List...Ch. 7 - Why are there so many craters on the Moon and so...Ch. 7 - How do asteroids and comets differ?Ch. 7 - How and why is Earth’s Moon different from the...Ch. 7 - Where would you look for some “original”...Ch. 7 - Describe how we use radioactive elements and their...Ch. 7 - What was the solar nebula like? Why did the Sun...Ch. 7 - What can we learn about the formation of our solar...Ch. 7 - Earlier in this chapter, we modeled the solar...Ch. 7 - Seasons are a result of the inclination of a...Ch. 7 - Again using Appendix F, which planet(s) might you...Ch. 7 - Again using Appendix F, which planets might you...Ch. 7 - Using some of the astronomical resources in your...Ch. 7 - Explain why the planet Venus is differentiated,...Ch. 7 - Would you expect as many impact craters per unit...Ch. 7 - Using Appendix G, complete the following table...Ch. 7 - Calculate the density of Jupiter. Show your work....Ch. 7 - Calculate the density of Saturn. Show your work....Ch. 7 - What is the density of Jupiter’s moon Europa (see...Ch. 7 - Look at Appendix F and Appendix G and indicate the...Ch. 7 - Barnard’s Star, the second closest star to us, is...Ch. 7 - A radioactive nucleus has a half-life of 5108...
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