![]() Though Kepler gave the laws of planetary motion but he could not give an explanation about the motion of planets. Source: With the help of Kepler’s third law of planetary motion we can show how long does it takes to reach Mars, how long would it take for a spacecraft from earth to reach the Sun, how far from the center of Earth do synchronous satellites orbit, how far does Halley’s comet go etc. Kepler’s third law: The cube of the mean distance of a planet from the sun is directly proportional to the square of time it takes to move around the sun. With the help of second law of Kepler’s we come to know that the Earth is closest to the Sun on 4rth January, when day and night are equal etc.ģ. A planet could move around the sun with constant speed only if its orbit were a true circle and not an ellipse. ![]() The speed is greater when the planet is nearer the sun and less when the planet is farther away from the sun. Thus the Kepler's second law states that a planet does not move with constant speed around the sun. On the other hand, when the same planet is farther from the sun at position X, then it moves slowly but sweeps over an equal area XYC in the same time t. When the planet is nearer to the sun at position A, it travels faster and sweeps over an area ABC in time t. In the above figure a planet P is moving in an elliptical orbit around the sun. Source: How Gravitational Force holds the Solar System together? Now, since the line joining the planet and the sun sweeps over equal areas in equal intervals of time, it means that a planet moves faster when it is closer to the sun and moves slowly when it is farther from the sun. ![]() We know that a planet moves around the sun in an elliptical orbit with sun at one of its focus. Kepler’s second law: Each planet revolves around the sun in such a way that the line joining the planet to the sun sweeps over equal areas in equal intervals of time. ![]()
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