Kepler’s law of planetary motion

The three laws of Kepler can be stated as follows:

Kepler’s first law (law of orbit):

Every planet revolves around the sun in an elliptical orbit with the sun is situated at one focus of the ellipse.

An ellipse traced out by a planet around the sun. The closest point is P and the farthest point is A, P is called the perihelion and A the aphelion. The semi major axis is half the distance AP.

Kepler’s second law (law of area):

The radius vector drawn from the sun to a planet sweeps out equal areas in equal intervals of time, i.e., the areal velocity of the planet around the sun is constant.

The planet P moves around the sun in an elliptical orbit. The shaded area is the area ΔA swept out in a small interval of time Δt.

Kepler’s third law (law of period):

The square of the time period of revolution of a planet around the sun is directly proportional to the cube of semi major axis of the elliptical orbit of the planet around the sun.


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