UNDERSTANDING THE UNIVERSE(LL)-W/CODE
UNDERSTANDING THE UNIVERSE(LL)-W/CODE
3rd Edition
ISBN: 9780393869903
Author: PALEN
Publisher: NORTON
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Chapter 3, Problem 32QAP
To determine

The difference between a bound and unbound orbit.

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. Obtain the equation for the orbit of a planet around a star in cylindrical polar co-ordinate system.
Write down the radius of the orbit of a satellite moving around the Earth if its height above the surface is and the radius of the Earth is R.
Kepler’s Law relates the period T ( in a sec) of a satellite to the distance from the center of the earth r (in m) to some physical constants as shown:                  T2 = (2π/ G ME) r3 Where G = Universal Constant of Gravitation and ME is the mass of the earth.  A stationary satellite is one that circles the earth in a circular orbit but stays exactly above the same spot on the earth. Calculate the distance above the earth in m for this “geo-synchronous satellite” to orbit, then convert that height to miles.
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