Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
3rd Edition
ISBN: 9780321820464
Author: Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher: Addison-Wesley
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Chapter 5, Problem 1MIP

The Sun’s position in the Milky Way is shown in the picture above. What is the approximate distance from the Sun to the center of the Milky Way? Recall that 1 cm represents 10,000 ly.

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given: a (distance to center of galaxy in AU) = 1,717,914,439 AU P (suns orbital period in years) = 203,782,828.3 years M (mass of milky way galaxy in solar masses) = 1.22 x 10^11 Msun   Question: Assume the Milky Way Galaxy is made up entirely of stars like the Sun, i.e. on average each star has the mass of 1 MSun. Under this assumption, approximately how many stars are there in our galaxy? Express this answer in billions of stars (1 billion = 109).
In the reading, you were told that there were roughly 10,000 galaxies in the image of the Hubble Ultra Deep Field alone. The image is roughly 10 square arcminutes and there are roughly 1.5*10^8 square arcminutes composing the entire sky. With that in mind and assuming that the Hubble Ultra Deep Field represents an average part of the sky, roughly how many galaxies may exist in the observable universe? (Please include commas for every factor of 1,000; for example 2,343,567,890)
Estimating the mass of the Milky Way a) Assuming the Sun moves in a circular orbit of radius 8 kiloparsecs around the center of the Milky Way, and that its orbital speed is 220 km/s, calculate how many years it takes the Sun to complete one orbit of the Galaxy. Remember to convert kiloparsecs to kilometers. b) Using the modified form of Kepler's third law (introduced in Lecture 13, for measuring the combined masses of binary stars), R³ m+ M = estimate the mass of the Milky Way enclosed within 8 kpc (Sun's orbit radius). The mass of the Milky Way inside p² I the Sun's orbit can be represented as a single mass (M) located at its center, and the mass of the Sun (m) can be considered infinitesimally small compared to the Milky Way's (i.e., m < M). c) Is this estimate of the Milky Way's mass an upper or lower limit? Explain your reasoning.

Chapter 5 Solutions

Lecture- Tutorials for Introductory Astronomy

Ch. 5 - Prob. 2STPCh. 5 - Prob. 3STPCh. 5 - Prob. 4STPCh. 5 - Prob. 5STPCh. 5 - Prob. 6STPCh. 5 - Prob. 7STPCh. 5 - Prob. 1BIPCh. 5 - Prob. 2BIPCh. 5 - Prob. 3BIPCh. 5 - Prob. 4BIPCh. 5 - Prob. 5BIPCh. 5 - Prob. 6BIPCh. 5 - Prob. 7BIPCh. 5 - At which of the times you drew would you measure...Ch. 5 - Prob. 9BIPCh. 5 - Prob. 10BIPCh. 5 - Prob. 11BIPCh. 5 - As an extrasolar planet orbits around a star, the...Ch. 5 - Which object takes a greater amount of time to...Ch. 5 - At the instant shown in Figure 1, which direction...Ch. 5 - At the instant shown in Figure 1, which direction...Ch. 5 - In general, how does the direction the extrasolar...Ch. 5 - Figure 2 shows the extrasolar planet and star from...Ch. 5 - Prob. 7MOPCh. 5 - Prob. 8MOPCh. 5 - Prob. 9MOPCh. 5 - Prob. 10MOPCh. 5 - Prob. 11MOPCh. 5 - Prob. 12MOPCh. 5 - In which extrasolar planet system(s) (AD) is the...Ch. 5 - In which extrasolar planet system(s) (AD) would we...Ch. 5 - Which system (AD) has the extrasolar planet that...Ch. 5 - Two students are discussing their answers to...Ch. 5 - Match each graph (EH) with the extrasolar planet...Ch. 5 - Prob. 18MOPCh. 5 - Given the location marked with the dot on the...Ch. 5 - Prob. 1STEPCh. 5 - Prob. 2STEPCh. 5 - The Sun’s position in the Milky Way is shown in...Ch. 5 - Prob. 2MIPCh. 5 - We normally consider Deneb to be a bright but...Ch. 5 - Are the stars from Question 2 inside or outside...Ch. 5 - Prob. 5MIPCh. 5 - Are these Messier objects part of the Milky Way...Ch. 5 - Prob. 7MIPCh. 5 - Prob. 8MIPCh. 5 - Prob. 9MIPCh. 5 - Are the objects listed in Question 9 inside or...Ch. 5 - SagDEG is approximately 11,000 ly across. Is this...Ch. 5 - Within the Local Group, the two largest galaxies...Ch. 5 - Prob. 1GAPCh. 5 - Prob. 2GAPCh. 5 - Prob. 3GAPCh. 5 - Prob. 4GAPCh. 5 - Do the galaxies that you identified in Question 4...Ch. 5 - Prob. 6GAPCh. 5 - Prob. 7GAPCh. 5 - Prob. 8GAPCh. 5 - Prob. 9GAPCh. 5 - Prob. 10GAPCh. 5 - Prob. 11GAPCh. 5 - Prob. 12GAPCh. 5 - Prob. 13GAPCh. 5 - Where is the vast majority of mass in the solar...Ch. 5 - Two students are discussing their answers to...Ch. 5 - How do the orbital speeds of planets farther from...Ch. 5 - How does the gravitational force on a planet far...Ch. 5 - Complete the blanks in the sentences of the...Ch. 5 - Imagine you were able to add a very, very large...Ch. 5 - Prob. 7DAPCh. 5 - Prob. 8DAPCh. 5 - Prob. 9DAPCh. 5 - Astronomers were surprised when they saw the real...Ch. 5 - Prob. 11DAPCh. 5 - Prob. 12DAPCh. 5 - Based on your answers to Question 12, would you...Ch. 5 - Based on the MWG’s real rotation curve and your...Ch. 5 - Prob. 15DAPCh. 5 - Prob. 16DAPCh. 5 - Prob. 17DAPCh. 5 - Prob. 1LOPCh. 5 - Prob. 2LOPCh. 5 - Prob. 3LOPCh. 5 - Prob. 4LOPCh. 5 - Prob. 5LOPCh. 5 - Prob. 6LOPCh. 5 - Prob. 7LOPCh. 5 - Prob. 8LOPCh. 5 - Prob. 9LOPCh. 5 - Prob. 1MAPCh. 5 - Prob. 2MAPCh. 5 - Prob. 3MAPCh. 5 - Prob. 4MAPCh. 5 - Prob. 5MAPCh. 5 - One way to try to understand and envision the...Ch. 5 - One way to try to understand and envision the...Ch. 5 - Prob. 8MAPCh. 5 - One way to try to understand and envision the...Ch. 5 - One way to try to understand and envision the...Ch. 5 - One way to try to understand and envision the...Ch. 5 - One way to try to understand and envision the...Ch. 5 - The balloon analogy is a helpful way to think...Ch. 5 - Prob. 1HUPCh. 5 - Consider the small section of the universe...Ch. 5 - Consider the small section of the universe...Ch. 5 - Prob. 4HUPCh. 5 - Consider the small section of the universe...Ch. 5 - Prob. 6HUPCh. 5 - The relationship you described in Questions 4 and...Ch. 5 - Prob. 8HUPCh. 5 - Prob. 9HUPCh. 5 - Prob. 10HUPCh. 5 - Prob. 11HUPCh. 5 - Complete the sentence below using the words...Ch. 5 - Prob. 13HUPCh. 5 - Prob. 14HUPCh. 5 - Prob. 16HUPCh. 5 - Prob. 17HUPCh. 5 - Prob. 18HUPCh. 5 - Prob. 19HUPCh. 5 - Prob. 20HUPCh. 5 - The two drawings below represent the same group of...Ch. 5 - Prob. 2EXPCh. 5 - Prob. 3EXPCh. 5 - The two drawings below represent the same group of...Ch. 5 - Prob. 5EXPCh. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - Prob. 1ELDPCh. 5 - When the universe was 4 billion years old, Galaxy...Ch. 5 - Prob. 3ELDPCh. 5 - Prob. 4ELDPCh. 5 - Prob. 5ELDPCh. 5 - Prob. 6ELDPCh. 5 - Prob. 7ELDPCh. 5 - Prob. 8ELDPCh. 5 - Prob. 9ELDPCh. 5 - When the universe was 4 billion years old, Galaxy...Ch. 5 - Consider the discussion between two students...Ch. 5 - Diagrams A and B below each represent a different...Ch. 5 - Diagrams A and B below each represent a different...Ch. 5 - Diagrams A and B below each represent a different...Ch. 5 - Prob. 4THPCh. 5 - Diagrams A and B below each represent a different...Ch. 5 - Consider the three diagrams (C, D, and E) shown...Ch. 5 - Consider the three diagrams (C, D, and E) shown...Ch. 5 - Imagine you could watch the history of the...Ch. 5 - Prob. 9THPCh. 5 - Prob. 10THPCh. 5 - Look at Diagram A again. Next to Diagram A, make a...
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