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To study the Earth, some aliens have put a spaceprobe in the solar system. It has...

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Physics

To study the Earth, some aliens have put a spaceprobe in thesolar system. It has an elliptical orbit with a semi-major axis of2 AU. The closest distance the probe gets to the Sun is 1 AU.

a. What is the farthest the probe gets from the sun?
b. What is the sidereal period of the probe (in years)? What is itssynodic period?
c. At what point will the probe be moving the slowest? Thefastest?
d. What is the eccentricity, e, of the orbit?

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