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In: Physics

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

To study the Earth, some aliens have put a spaceprobe in the solar system. It has an elliptical orbit with a semi-major axis of 2 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 its synodic period?
c. At what point will the probe be moving the slowest? The fastest?
d. What is the eccentricity, e, of the orbit?

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