Problem 19SEQ

Explain answer clearly, with complete sentences and proper essay structure if needed. An asterisk (*) designates a quantitative problem, for which you should show your work.

*Planet Around 51 Pegasi. The star 51 Pegasi has about the same mass as our Sun. A planet discovered around it has an orbital period of 4.23 days. The mass of the planet is estimated to be 0.6 times the mass of Jupiter. Use Kepler’s third law to find the planet’s average distance (semimajor axis) from its star. (Hint: Because the mass of 51 Pegasi is about the same as the mass of our Sun, you can use Kepler’s third law in its original form, p2 = a3. Be sure to convert the period into years before using this equation.)

Step 1 of 2

We need to find the average distance (semimajor axis) of a planet which is orbiting the star 51 Pegasi.

The planet’s distance (semimajor axis) from its star can be found using Kepler’s third law which states that “ the square of orbital period of a planet is directly proportional to the cube of the semi- major axis of its orbit”.

Where, orbital period of the planet in Earth years

average distance of the planet from the Sun in AU