Planet Motion: Calculate Star Mass

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To calculate the mass of the star, the equation Ms = v^2 r / G is used, where Ms is the mass of the star, v is the orbital velocity of the planet, r is the distance from the star, and G is the gravitational constant. Given the planet's mass of 9.9*10^23 kg, its distance of 5.6 AU (converted to meters), and its velocity of 32 km/s, the calculation can be performed. The user expresses confidence in their solution approach. The discussion focuses on applying the gravitational formula to determine the star's mass based on the planet's orbital characteristics. The method appears valid for solving the problem.
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Homework Statement


a 9.9*10^23 kg planet orbits a star in a circular orbit. The planet is 5.6 AU away from the star and has an orbital velocity of 32 km/s. What is the mass of the star. (1AU = 1.496*10^11m)


Homework Equations


G Mp Ms / r^2 = Mp V^2/r



The Attempt at a Solution


Ms = v^2 r /G
is my solution correct
 
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Looks good to me.
 

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