The constant K in Kepler's Third Law is the same for all the planets in our solar system, but is different for planetary systems orbiting other stars.

Question

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Kepler's Third Law states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit. The constant of proportionality (K) is the same for all planets orbiting the same star (such as the Sun in our solar system) because it depends on the mass of the central star. For planetary systems around other stars, the value of K would differ due to the varying masses of those stars.

The Constant K in Kepler's Third Law Is the Same