Question : Kepler's law of planetary motion states that the square of the period is proportional to the
Option 1: semi-major axis
Option 2: square of the semi-major axis
Option 3: cube of the semi-major axis
Option 4: fourth power of the semi-major axis
Correct Answer: cube of the semi-major axis
Solution : The correct option is a cube of the semi-major axis .
According to Kepler's Law of Periods, a planet's orbital period square is precisely proportionate to its semi-major axis cube. One of Johannes Kepler's three laws of planetary motion was determined in the early 17th century. The semi-major axis of the planet's orbit, denoted by the symbol 'a', is the semi-major axis of the Law of Periods, which is mathematically defined as T 2 ∝ a 3 . This rule may be used to determine how long an orbit around the sun will last for every planet in the solar system, including Earth.
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