Question

State and prove kepler’s third law of planetory motion.

Answer 1

✋Kepler's third law States that the square of the time period of revoulution of a planet is proportional to the cube of semi-major axis of the elliptic orbit. If orbit of the planet is circular, then sqyare of the time period will be proportional to the cube of radius of the orbit ..

Other two laws

1.. The law of orbits= All planet move in elliptical orbits, with the sun at the one focus.

2...The law of areas= A line that connects a planet to the sun sweeps out equal areas in equal times..

The third one is ====

3.... Law of periods= The square of the period of any planet is proportional to the cube of the semi-major axis of it's orbit......

Answer 2

Heya...

Here's your answer.........

Kepler's Third Law of Planetary Motion :-

The square of the time period of the revolution of a planet is proportional to the cube of the semi-major axis of the elliptic orbit.

If orbit of the planet is circular, then square of the time period will be proportional to the cube of the radius of the orbit.

Let  a planet revolve around the sun in a circular orbit of radius r .

The necessary Centripetal force required is provided by the gravitational pull,

i.e., mrω² = GMm / r²

=> r 4π² / T² = GM / r²

=> T² = (4 π² / GM) r³

 

i.e., T²∝r³

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✨✨✨✨BY BeWaFa ✨✨✨

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