Suppose an artificial satellite is in a circular orbit around \( \mathrm{P} \) the earth at a di...

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Suppose an artificial satellite is in a circular orbit around
\( \mathrm{P} \)
the earth at a distance \( r_{0} \) from the center of the earth. A short
\( \mathrm{W} \) burst is fired from its rocket engine in a direction such that its speed quickly increases (but not enough to take it out of earth orbit). (a) What is the subsequent path of the satellite? (b) Will is perigee distance be greater than, less than, or equal to \( r_{0} \) ? (c) Will its apogee distance be greater than, less than, or equal to \( r_{0} ? \) (d) Will its period increase or decrease?
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