Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 4, Problem 4CC
To determine

Whether an imaginary observer on the sun can see the planets moving in retrograde motion in the heliocentric model.

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To an observer on Earth, through what angle will Mars appear to move relative to the stars over the course of 24 hours when the two planets are at closest approach? Assume for simplicity that Earth and Mars move on circular orbits of radii 1.0 AU and 1.5 AU, respectively, in exactly the same plane. Will the apparent motion be prograde or retrograde?
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]
A planet revolves around a certain star. At one point in the planet's orbit, called periapsis, it passes much closer to the star. Which of the following statements about periapsis is true?   The planet's orbital period becomes shorter after every periapsis.   The planet's orbital period becomes longer after every periapsis.   The planet orbits with a slower speed during periapsis.   The planet orbits with a greater speed during periapsis.
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Kepler's Three Laws Explained; Author: PhysicsHigh;https://www.youtube.com/watch?v=kyR6EO_RMKE;License: Standard YouTube License, CC-BY