Study of Kepler’s Laws and Kepler’s Constant in Various Asteroids of the Solar System

Kepler's laws of motion are fundamental planetary motion, planets, asteroids, comets follow these laws with no or minimal deviation. In this paper, we perform statistical analysis on Kepler's constant, by using 5350 minor planets data from the minor planet center (MPC). According to Kepler's third law of motion, the square of orbital time period of a minor planet isproportional to cubed of the semi-major axis distance, the proportionality constant is Kepler's constant, 𝐺(𝑀 + 𝑚)/4π = r3/T2, and m are the mass of the sun and minor planet respectively, and G is the universal constant of gravity. Thus, Kepler constant is also related to the mass of the minor planet, suggesting that Kepler constant depends on 2-body interaction.