Horizons: Exploring the Universe (MindTap Course List)
Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 3, Problem 6P

Phobos, one of the moons of Mars, is about 25 km in diameter and orbits about 6000 km above the surface of the planet. What is the angular diameter of Phobos as seen from Mars? (Hint: See Reasoning with Numbers 3-1.)

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Imagine you grew up on Mars, whose semi-major axis is 1.5 AU.  In observing the planets over your lifetime from the Martian surface, what is the largest angular separation you would see between the Earth and the Sun?  Take the orbits of the Earth and Mars to be circular.
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!
How long, deep, and wide would a terrestrial chasm have to be to have the same proportions relative to the Earth that Valles Marineris has to Mars?
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