Newton's Law of gravitation using Kepler's laws is a mathematical equation that describes the relationship between the gravitational force of two objects and their masses and distance. It combines two of Johannes Kepler's laws of planetary motion with Isaac Newton's law of universal gravitation.
Kepler's first law, also known as the law of orbits, states that all planets move in elliptical orbits around the sun, with the sun at one of the two foci of the ellipse.
Kepler's second law, also known as the law of areas, states that a line that connects a planet to the sun sweeps out equal areas in equal times. This means that a planet will move faster when it is closer to the sun and slower when it is farther away.
Kepler's third law, also known as the law of periods, states that the square of the orbital period of any planet is directly proportional to the cube of the semi-major axis of its orbit. This means that the farther a planet is from the sun, the longer its orbital period will be.
Newton's Law of gravitation uses Kepler's laws to describe the motion of objects under the influence of gravity. It states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This equation allows us to calculate the gravitational force between any two objects in the universe, including planets and stars.