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What is Kepler's third law T²/r³?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

Kepler's Third Law states that the suare of a planet's orbital period (T²) is proportional to the cube of its average distance from the Sun (r³). Mathematically: T²/r³ = constant for all planets orbiting the same star. More precisely, T² = (4π²/GM)r³, where G is the gravitational constant and M is the Sun's mass. This law reveals the fundamental relationship between orbital distance and period.

General · Class 12