Saturn is on average 10 AU from the sun. What is the approximate orbital period of Saturn? 10 years b.)32 years c. 100 years d. 1000 years e. 1,000,000 years

Respuesta :

Answer: b.)32 years

Explanation:

According to Kepler's third law of orbital planetary motion:

The square of the period of any planet is proportional to the cube of the semi major axis of its orbit.

[tex]T^2=a^3[/tex]

where T= time period = ?

a = semi major axis = 10 AU

[tex]T^2=(10)^3[/tex]

[tex]T=\sqrt{1000}[/tex]

[tex]T=32years[/tex]

Thus the approximate orbital period of Saturn is 32 years.