One year at a planet is 8 times as large as compared to the one year at the Earth. Which one of the following is correct about the planet's orbit?

Step-by-step solution

According to Kepler's third law of planetary motion, the square of the time period of revolution is directly proportional to the cube of the semimajor axis of the orbit. T^2 a^3 ( T_p T_e )^2 = ( a_p a_e )^3 Given that T_p = 8 T_e , substituting this value: (8)^2 = ( a_p a_e )^3 64 = ( a_p a_e )^3 a_p a_e = (64)^ 1/3 = 4 a_p = 4 a_e The semimajor axis of the planet's orbit is four times as compared to that of the Earth. Answer: The semimajor axis of the planet's orbit is four times as compared to that of the Earth.