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Solve the all given parts of following problem:

Problem: A new extra solar planet (outside our solar system) has been discovered. This planet orbits a star of mass 9.42 x 10³⁰ kg with a period of 6.42 years. It is also known that the planet has an eccentricity of 0.689.

Part A: What is the semi-major axis of the planet's orbit?

Part B: What is the average velocity of the planet in its orbit?

Part C: What is the distance of closest approach to its parent start (perihelion)?

Part D: What is the farthest distance the planet travels away from its parent start (aphelion)?

Please show all wo4rk and steps to determine the average velocity of the planet in its orbit.

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