Stars and Galaxies
Stars and Galaxies
9th Edition
ISBN: 9781305120785
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 4, Problem 3P
To determine

The duration of one retrograde cycle and fraction of retrograde cycle to mars’s orbital period.

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one trajectory that can be used to send spacecraft from earth to mars is an elliptical orbit that has the sun at one focus, its perihelion at earth, and it's aphelion at mars. the spacecraft is launched from earth and coasts along this ellipse until it reaches mars, when a rocket is fired to either put the spacecraft into orbit around mars or cause it to land on mars. (a) find the semimajor axis of the ellipse (in au). (hint: draw a picture showing the sun and the orbits of earth, mars, and the spacecraft. treat the orbits of earth and mars as circles.) [enter your answer in units of au]
The average radius of Mars is 3,397 km. If Mars completes one rotation in 24.6 hours, what is the tangential speed of objects on the planet’s surface? Round your answer to the nearest whole number.
For two moons (Moon A and Moon B) with the same mass, both in circular orbits about Mars, how many times more quickly or slowly is Moon B moving along its orbit if it is 9 times farther from Mars’ center than Moon A?
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