Question

keplers first and third laws quick check
which of these describes kepler’s third law of orbital motion? (1 point)
○ ( t^3 propto a^2 )
○ ( t^2 propto a )
○ ( t^2 propto a^3 )
○ ( t propto a^2 )

Explanation:

Kepler's third law of orbital motion states that the square of the orbital period (\( T \)) of a planet is proportional to the cube of the semi - major axis (\( a \)) of its orbit. So among the given options, \( T^2 \propto a^3 \) correctly describes Kepler's third law.

Answer:

\( T^2 \propto a^3 \) (the option with \( T^2 \propto a^3 \))