Stars and Galaxies
Stars and Galaxies
9th Edition
ISBN: 9781305120785
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 3, Problem 5LL
To determine

Show that the Moon always keeps the same side facing the Earth.

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The diameter of the Moon is 3500 km. On Figure 2 it is scaled down to 13.2 cm. What is the diameter of Mare Serenitatis, since on Figure 2 it is 2.2 cm? (Show your calculation)
The smallest detail visible through Earth-based telescopes is about 1 arc second in diameter. What linear size is this on the Moon? (Hint: Use the small-angle formula.)
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!
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