EBK STARS AND GALAXIES
EBK STARS AND GALAXIES
10th Edition
ISBN: 8220106798485
Author: Seeds
Publisher: Cengage Learning US
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Chapter 5, Problem 4RQ
To determine

The reason for which Aristotle’s explanation of gravity becomes invalid if Earth isn’t the centre of the universe.

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Newton’s law of gravitation and the formula for centripetal acceleration can be used to show that: T^2=(4π^2/Gms)R^3 where G is the universal constant of gravitation and MS is the mass of the Sun. Take logarithms to base 10 of both sides of the equation to complete the expression for 2 lg T.2 lg T = ……………… × lg R + ……………………
A satellite is geostationary if it appears fixed in the sky as seen by an observer on Earth. Geostationary satellites are very useful for communication and a lot of them are in use. Access to geostationary orbit is regulated by international treaty and a spot in geostationary orbit is probably the most desirable "unreal estate" I can think of. What goes into making an orbit geostationary? Kepler's and Newton's laws, and location, location, location. We will determine how this works in these exercises. Kepler's first law in this context states that the orbit of a satellite is an ellipse with the center of the Earth at one focus. Kepler's second law states that the line joining the satellite and the center of the Earth sweeps out equal areas in equal intervals of time. Kepler's third law (in Newtonian form) relates the orbital period of the satellite to the semi-major axis of the orbit and the mass of the Earth. In order to appear geostationary, a satellite must have a circular orbit,…
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