Kepler's Third Law of Planetary Motion

The video tutorial covers Kepler's third law of planetary motion, explaining that the square of a planet's orbital period is proportional to the cube of the semi-major axis of its orbit. The teacher clarifies the law, discusses constants involved, and uses data from the solar system to illustrate the concept. The video concludes with a graph showing the relationship between orbital period squared and semi-major axis cubed, emphasizing the use of specific units to simplify calculations.

What units are used for measuring the semi-major axis and orbital periods in the context of Kepler's laws?

Why do all planets have roughly the same value for orbital period squared over semi-major axis cubed?