You have discovered the planet Zoltron. It is 13.0 times farther from the Sun than Earth (13.0 AU). How long does it take this planet to go once around the Su

Question

end answer in years

Answer 1

Use Kepler's 3rd law of planetary motion.

 

T²/a³ = constant for all planets

 

Earth:

 

T²/a³ = (1 y)²/(1 AU)³ = 1 y²/AU³

 

Zoltron:

 

T²/(13.0 AU)³ = 1 y²/AU³

 

T² = (13.0)³ y²

 

T ≅ 46.9 years