Stars and Galaxies (MindTap Course List)
Stars and Galaxies (MindTap Course List)
10th Edition
ISBN: 9781337399944
Author: Michael A. Seeds
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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On the evening of an autumnal equinox day Siddhant noticed that Mars was exactly along the north-south meridian in his sky at the exact moment when the sun was setting. In other words, the Sun and Mars subtended an angle of exactly 90° as measured from the Earth. If the orbital radius of Mars is 1.52 au, What will be the approximate rise time of the mars on the next autumnal equinox day?
The average distance between Mars and the Sun is 1.52 AU. What is the orbital period of Mars? Provide you answer in time units of years.
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]
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