# Calculate the orbital distance (semi-major axis) for an extra-solar planet in a 3.312 Earth-day orbit around a 1.3 solar-mass star.?

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Select one:

a. 0.068 AU

b. 0.058 AU

c. 0.038 AU

d. 0.048 AU

e. 0.078 AU

Select one:

a. 0.068 AU

b. 0.058 AU

c. 0.038 AU

d. 0.048 AU

e. 0.078 AU

##### 1 Answer

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Phillip E.
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May 27, 2017

#### Answer:

The semi-major axis is 0.048AU, answer d.

#### Explanation:

The orbital period

Where

Substituting the values and converting days to years gives:

Taking the cube root gives

So the nearest answer is d. 0.048AU.

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