name the following law
the square of period of revolution around the sun is directly proportional to the cube of the mean distance of the planet from the sun
Solution :
Kepler's laws:
• Kepler’s First Law (Law of Orbits)
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Every planet revolves around the sun in an elliptical orbit. The sun is situated at one foci of the ellipse.
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The closest point is P, called the perihelion, and the farthest point is A, called the aphelion.
• Kepler’s Second Law (Law of Areas)
The line joining a planet to the sun sweeps out equal areas in equal intervals of time, i.e., the areal velocity of the planet around the sun is constant.
• Kepler's third law (Law of periods)
The square of the time period of revolution of a planet is proportional to the cube of the semi-major axis of the ellipse traced out by the planet.
It is a law connecting distance of the orbital body with its time period.
After much deliberation, Kepler arrived at the law that if T is the period of revolution of any planet and D is its semi-major axis from the sun, then
T2/D3 = k
Where k is a constant, which is the same for all the planets.