On October 15, 2001, a planet was discovered orbiting around the star

Adela Brown

Adela Brown

Answered question


On October 15, 2001, a planet was discovered orbiting around the star HD 68988. 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. What is the mass of HD 68988? Express your answer in kilograms and in terms of our sun’s mass.

Answer & Explanation



Beginner2022-01-08Added 36 answers

The planet has an orbital radius r=10.5×109m and the orbital period is T=6.3days. The period T of the planet is given in days, so the period in seconds is
Equation (13.12) states the relationship between the period T and the distance r in the form
T=2πr(32)GM (1)
Where M is the mass of the star and G is the general constant of gravity and equals 6.673×1011Nm2kg2. We solve equation (1) for M to be in the form
M=4π2r3T2G (2)
Now, we plug the values for r, T and G into equation (2) to get M
The mass of the Sun is MSun=1.99×1030kg, so in terms of the mass of the Sun, the mass of the star is


Beginner2022-01-09Added 30 answers

Sun's mass is equivalent to 1.99×1030kg. The calculated mass of star HD68988 is 2.3×1030kg. The mass of the star is, 
Therefore, the mass of HD68988 is 1.16M.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?