Astronomers have observed a planet orbiting a near-by star, Ask an Expert

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Astronomers have observed a planet orbiting a near-by star. Through close observation, they learn the following information about the orbit of the planet:

i. The planet is in an elliptical orbit.

ii. The perigee distance from the center of the star is 1.03 x 10^11 m.

iii. The apogee distance from the center of the star is 1.13 x 10^11 m.

iv. The velocity at perigee is 35.9 km/s.

v. The period of the orbit is 225 days.

(a) What is the velocity at apogee, in km/s, for the planet?

(b) What is the mass of the star?

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