A planet orbits a star of mass 8.72×10^30 kg with a period of 5.72 years. It is also known that the planet has an eccentricity of 0.664.
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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 the 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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