## Question

###### Part a) Part b) Part c) Part d) A distant star named α of mass M...

Part a)

Part b)

Part c)

Part d)

A distant star named α of mass M 1031 kg and radius 108 m has only 2 small planets named X and Y and none others. The two planets have circular orbits with periods T and 9T, respectively, where T- 3.14159 x 107s.

What is the radius of the inner planet's orbit rx?

What is the radius of the outer planet's orbit ry?

If the orbital velocity of planet Y is 2540 m/s and the ratio of both radii of the orbits is ry/rx ~ 0.44, what is the orbital velocity of planet X?

What is the gravitational acceleration on the surface of star a?

## Answers

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