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  1. During the period each year when we see Mars undergoing apparent retrograde motion in our sky, what is really going on in space? Earth is catching up with and passing by Mars in their respective orbits.

  2. Collapsing Cloud. The time it takes for a cloud 100,000 AU in radius to collapse in "free fall" to form a new star is half the time it would take an object to orbit the star on an extremely elliptical orbit with a semimajor axis of 50,000 AU. Use Kepler's third law to find the collapse time, assuming the star has the same mass as the Sun.

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