Kepler's 3rd Law of Planetary Motion represents the relationship between a planet's and. in our solar system.

Kepler's 3rd Law of Planetary Motion represents the relationship between a planet's period (time taken to complete one orbit around the Sun) and its average distance from the Sun (semi-major axis). Specifically, the law states that the square of a planet's period is directly proportional to the cube of its average distance from the Sun.

Kepler's 3rd Law of Planetary Motion represents the relationship between a planet's orbital period and its average distance from the Sun in our solar system.

Kepler's 3rd Law of Planetary Motion, also known as the Law of Harmonies, represents the relationship between a planet's orbital period and its distance from the Sun in our solar system.

To understand this law, you need two key components: the planet's orbital period (T) and its distance from the Sun (r). The orbital period refers to the time it takes for a planet to complete one full orbit around the Sun, usually measured in Earth years (or any other unit of time). The distance from the Sun refers to the average distance between the planet and the Sun, usually measured in astronomical units (AU), where 1 AU is the average Earth-Sun distance.

Now, let's look at the relationship described by Kepler's 3rd Law:

T^2 = k * r^3

In this equation, T^2 represents the square of the planet's orbital period, r^3 represents the cube of the planet's distance from the Sun, and k is a constant. This law states that the ratio of the square of the orbital period to the cube of the distance from the Sun is a constant value for all planets in our solar system.

To calculate this constant value (k), we can observe any planet in our solar system and collect data on its orbital period (T) and distance from the Sun (r). By substituting these values into the equation, we can solve for k. Once we have the value of k, we can then use this constant to predict the relationships for other planets in our solar system or even in other star systems.