Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 3, Problem 12Q
To determine
Whether the moon was in waxing or waning phase as seen from the Earth.
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The timing of Moonrise is later every day. Let’s understand why: a) Moonrise occurs when you, as you sit on the rotating Earth, turn to the point where you can just see the Moon appear over the horizon. Draw a picture to illustrate what this would look like. Draw the Earth, Moon, and you standing on the Earth to indicate this scenario. (You’ve seen my artistic skills in class, I’m not asking you to do anything better than that. Just label/make clear what is shown). Take this as Day 1.In 24 hours, you would return back to that exact point on the Earth. However, the Moon will also have moved forward in its orbit (it orbits the Earth in the same direction that the Earth is spinning). How far along in its orbit does the Moon move? That is, assume the Moon is orbiting in a circular orbit; in going from Day 1 to Day 2,
how many degrees does thee Moon move forward? Indicate (very roughly) via a drawing.b) Because the Moon advanced in its orbit, you now must wait…
When you step from the shade into the sunlight, the Sun’s heat is as evident as the heat from hot coals in a fireplace in an otherwise cold room. You feel the Sun’s heat not because of its high temperature (higher temperatures can be found in some welder’s torches), but because the Sun is big. Which do you estimate is larger, the Sun’s radius or the distance between the Moon and Earth? Check your answer in the list of physical data on the inside back cover. Do you find your answer surprising?
The Mars Robotic Lander for which we are making these calculations is designed to return samples of rock from Mars after a long time of collecting samples, exploring the area around the landing site, and making chemical analyses of rocks and dust in the landing area. One synodic period is required for Earth to be in the same place relative to mars as when it landed.
Calculate the synodic period (in years) using the following formula:
1/Psyn = (1/PEarth) - (1/PMars)
where PEarth is the sidereal period of the Earth (1 year) and PMars is the sidereal period of Mars.
If 3/4 of a Martian year was spent collecting samples and exploring the terrain around the landing site, calculate how long the Mars Robotic Lander expedition took!
Chapter 3 Solutions
Universe: Stars And Galaxies
Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 9QCh. 3 - Prob. 10Q
Ch. 3 - Prob. 11QCh. 3 - Prob. 12QCh. 3 - Prob. 13QCh. 3 - Prob. 14QCh. 3 - Prob. 15QCh. 3 - Prob. 16QCh. 3 - Prob. 17QCh. 3 - Prob. 18QCh. 3 - Prob. 19QCh. 3 - Prob. 20QCh. 3 - Prob. 21QCh. 3 - Prob. 22QCh. 3 - Prob. 23QCh. 3 - Prob. 24QCh. 3 - Prob. 25QCh. 3 - Prob. 26QCh. 3 - Prob. 27QCh. 3 - Prob. 28QCh. 3 - Prob. 29QCh. 3 - Prob. 30QCh. 3 - Prob. 31QCh. 3 - Prob. 32QCh. 3 - Prob. 33QCh. 3 - Prob. 34QCh. 3 - Prob. 35QCh. 3 - Prob. 36QCh. 3 - Prob. 37QCh. 3 - Prob. 38QCh. 3 - Prob. 39QCh. 3 - Prob. 40QCh. 3 - Prob. 41QCh. 3 - Prob. 42QCh. 3 - Prob. 43QCh. 3 - Prob. 44QCh. 3 - Prob. 45QCh. 3 - Prob. 46QCh. 3 - Prob. 47QCh. 3 - Prob. 48QCh. 3 - Prob. 49QCh. 3 - Prob. 50Q
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- At the end of the section on the lunar surface, your authors say that lunar night and day each last about two Earth weeks. After looking over the information in Earth, Moon, and Sky and this chapter about the motions of the Moon, can you explain why? (It helps to draw a diagram for yourself.)arrow_forwardWhat fraction of the Moons surface area is the far side? Of the near side of a third-quarter moon, what fraction is dark? What fraction of the far side is in the dark that cannot be seen by an observer from Earth viewing the Moon in its third-quarter phase?arrow_forwardWhat is the angular diameter of the Moon in the third-quarter phase? What is the shortest/longest angular distance from the horizon to the Moon in the third-quarter phase when the time is midnight or noon?arrow_forward
- Use the small-angle formula to calculate the angular diameter (in arc minutes) of Mars (d = 6.79 ✕ 103 km) as seen from Earth if Mars were at the location of the Sun (D = 1.5 ✕ 108 km).arrow_forwardEAn astronaut arrives on the planet Oceania and climbs to the top of a cliff overlooking the sea. The astronaut's eye is 100 m above the sea level and he observes that the horizon in all directions appears to be at angle of 5 mrad below the local horizontal. What is the radius of the planet Oceania at sea level? How far away is the horizon from the astronaut? 6000 km and 50 km 3600 km and 20 km 2000 km and 40 km 8000 km and 40 kmarrow_forward(a) Explain the relative positions of the Earth, Sun, and Moon during a solar eclipse? (b) Explain the relative positions of the Earth, Sun, and Moon during a lunar eclipse? (c) Does a solar eclipse occur during a full moon, a new moon, or a quarter moon? (d) Does a lunar eclipse occur during a full moon, a new moon, or a quarter moon? (e) What is the name of the total shadow during a solar eclipse? () What is the name of the partial shadow during a solar ecipse?arrow_forward
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