Question

State Kepler's laws of planetary motion.

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Answer 1

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⏩ Kepler's laws of planetary motion:-

By the 16th century, a lot of data on the motion of planets had been collected by many astronomers. Based on these data, JOHN KEPLER derived three laws, which govern the motion of planets. These laws are called Kepler's law and can be stated as follows:-

→ Law of orbits (First law):-

Each planet revolves around the sun in an elliptical orbit with the sun 'S' situated at one of the two foci, as shown in the attachment above.[Do refer it].

→Laws of areas (Second law):-

The line joining the planet and the sun sweeps equal areas in equal intervals of time.Thus, if the time from A to B is the same as that from C to D, then the shaded areas SAB and SCD are equal.

→ Law of periods (Third law):-

The cube of the mean distance r of a planet from the sun is proportional to the square of its orbital period T.

or

$t^{2} \alpha \: r^{3}$

or

T²/T³ = constant.

☞ However, Kepler could not give a theory to explain the motion of planets. It was Newton who showed that the cause of the planetary motion is the gravitational force that the sun exerts on them...

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Hope it helps...:-)

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Answer 2

Answer:-

There are three laws of planetary motion by Kepler which are as follows:

(1) All planets move about the Sun in elliptical orbits, having the Sun as one of the foci.

(2) A radius vector joining any planet to the Sun sweeps out equal areas in equal lengths of time.

(3) The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.

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