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Kepler's Third Law states that the squares of the orbital periods of the planets are directly proportional to the cubes of their average distances from the Sun. This law allows for a comparison of the orbital period and radius of orbit of a planet to those of other planets. It means that the further a planet is from the Sun, the longer its orbital period will be, and vice versa. This law provides a mathematical relationship that allows for the calculation of a planet's distance from the Sun if its orbital period is known, and vice versa .
In practical terms, this law enables astronomers to calculate the period of a planet's orbit and its distance from the Sun based on the known values for one of these variables. For example, with the average distance between Earth and the Sun (1 AU) being approximately 92,960,000 miles (149,600,000 kilometers) and one Earth year being 365 days, the distance and orbital period of other planets can be calculated when only one variable is known. This law provides an accurate picture of every planet's orbit around the Sun within the solar system .
Kepler's Third Law is a fundamental principle in understanding the motion of the inner planets and their relationship to the Sun. It allows for the calculation of orbital periods and distances, providing valuable insights into the dynamics of the solar system .
Overall, Kepler's Third Law provides a crucial mathematical relationship that allows for the calculation of orbital periods and distances of planets, contributing significantly to our understanding of the motion of the inner planets in relation to the Sun .
This law has been instrumental in advancing our understanding of planetary motion and has practical applications in astronomical calculations and observations .
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