Planets beyond the solar system. On October 15, 2001, a planet was discovered or

Question

Planets beyond the solar system. On October 15, 2001, a planet was discovered orbiting around the star HD68988. Its orbital distance was measured to be 10.5 million kilometers from the center of the star, and its orbital period was estimated at 6.3 days.

Part A

What is the mass of HD68988? Express your answer in kilograms.

Express your answer using two significant figures.

Part B

What is the mass of HD68988? Express your answer in terms of our sun's mass.

Express your answer using two significant figures.

Explanation / Answer

We know that

The expression for the timeperiod is given by

T2 =4pi2r3/Gm

Then for the mass above equation can be writen as

m =4pi2r3/GT2

A)

Now the mass of HD68988? Express your answer in kilograms is given by

m =4*(3.14)2(10.5*106*103)3/(544320)2(6.673*10-11)=2.343*1030kg

B)

What is the mass of HD68988? Express your answer in terms of our sun's mass.

m =(2.343*1030kg)ms/(1.99*1030kg) =1.17times the mass of the sun

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