At the perihelion of its orbit a planet is 4.45x1012 m from a star. The maximum...

At the perihelion of its orbit a planet is 4.45x10¹² m from a star. The maximum distance between the planet and the star is 7.35x10¹² m. The mass of the star is 2.99x10³⁰ kg. What is the period of the planet? (1 year = 3.156x10⁷ seconds)

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Expert Solution

Perihelion (P) is the nearest point of a planet from its star. Given perihelion is at distance

Aphelion (A) is the farthest point of a planet from its star. Given aphelion is at distance

The length of major axis (A) of the planet is the distance between P and A

The length of semi-major axis is

According to Kepler's Third law, the period of a planet orbiting a star of mass M in an orbit of semi-major axis a is

Using we get

genius_generous answered 1 year ago

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