Question

what is Kepler's third law and prove it also that how its come

Answer 1

Hey!
Here is your answer..

$\bold{Kepler's \: Third \: law}$

The square of its period of revolution around the sun is directly proportional to the cube of the mean distance of a planet from the sun.

If 'r' is the average distance of the planet from the sun and 'T' is it's period of revolution then..
$\bold{ {t}^{2} } \alpha \: \bold {r}^{3}$
That is...
$\bold {\frac{ {t}^{2} }{ {r}^{3} }} = \: constant \: = \: k$

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This is the answer.
Hope it helps you.

Answer 2

$here \: is \: the \: answer \: of \: your \: question$

# Kepler's Third Law :-

According to it the square of time period of revolution of planet around sun is directly proportional to the cube length of semi major axis.

i.e. T² is directly proportional to R³

Here T is time period of revolution and R is the distance of planet from the earth.

When we remove the sign of directly proportional then we have have to write some constant.

So,

T² = k R³

T²/R³ = k

$hope \: it \: helps \: you$