Universe: Stars And Galaxies
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 4, Problem 27Q
To determine

(a)

The semi major axis of the ellipse

To determine

(b)

The duration that will be taken in such a one-way trip to Mars.

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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]
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?
In a distant star system there are many inhabitable planets.  One of these planets is named Qomar.  Qomar is 3.2 AU's from its star and takes 6.5 Earth years to go around its  star once.    There is another planet in the same star system called Ferenginar.   Ferenginar is 0.9 AUs from the star.  What is the length of a Ferengi year (on Ferenginar) in terms of Earth years?
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