Question

A newly discovered planet follows a circular orbit around a star in a distant part of the galaxy. The orbital speed of the planet is determined to be 43,400 m/s. The slower planet's orbital period is 2.40x10^8 s.

a. What is the radius of the orbit of the planet?

b. What is the mass of the star? (hint: is there a centripetal force? If so, what force i causing the centripetal force?)

Answer #1

The orbital period is given by

where, v is the orbital speed, and R is the radius of the orbit.
So,

Now, using the given values, we get

b)

According to the Newton's equation of motion in this case,

centripetal force = gravitational attraction
force

So, putting the given values and the value of the gravitational
constant G, we get

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