Kepler’s third law, p2 = ka3, shows the relationship between a planet’s orbital period (p) and the length of its semi-major axis (a). which statement is true about kepler’s law? a. the orbital period is measured in units of time, and the semi-major axis is measured in units of mass. b. the value k is constant for each of the eight planets in our solar system. c. for a body orbiting the sun, increasing the orbital period increases the length of the semi-major axis. d. to calculate the value of k for a planet in our solar system, find a3 ÷ p2 for the planet.

B.The value k is constant for each of the eight planets in our solar system.

Explanation:

Kepler's third law states that the square of orbital period of the planet is proportional to the cube of semi-major axis.

P² = k A³

k is constant for all the planets in the solar system.

Where, G is the gravitational constant and M is the mass of the Sun.

The orbital period is measured in units of time, and the semi-major axis is measured in units of distance.

With increase in length of the semi-major axis, the orbital period increases.

The value of k can be found by: P²÷A³.