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A new planet has been discovered. This planet has an eccentricity of 0.664 and orbits a...

A new planet has been discovered. This planet has an eccentricity of 0.664 and orbits a star of mass 8.72×10^30 kg with a period of 5.72 years.

1. What is the semi-major axis of the planet's orbit?

2. What is the average velocity of the planet in its orbit?

3. What is the distance of closest approach to its parent start (perihelion)?

4. What is the farthest distance the planet travels away from its parent start (aphelion)?

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