Question

jupiter orbits the sun at an average distance of 5.2 au. what is the estimated orbital period of jupiter? use kepler’s third law to solve the problem. the equation for kepler’s third law is p² = a³, the period of a planet’s orbit (p) squared is equal to the length of the semi - major axis of the orbit (a) cubed when it is express 4 years 8 years 12 years 20 years

Explanation:

Step1: Identify given values

$a = 5.2$ AU, Kepler's Law: $P^2 = a^3$

Step2: Calculate $a^3$

$a^3 = 5.2^3 = 5.2 \times 5.2 \times 5.2 = 140.608$

Step3: Solve for $P$

$P = \sqrt{140.608} \approx 11.86$ years

Answer:

12 years