Question

If period of revolution of a planet is T and mean distance of a planet is T and mean distance of a
planet from sun is 'r' then keplers which law can be explained? Write that law.​

Answer 1

Answer:

The gravitational force is providing centripetal force to the planets oribital circular motion

r

2

GMm

=

r

mv

2

⇒v=

r

GM

The time period for planet in one revolution will be T=

v

2πr

= r

GM

2πr

squaring each side

T 2 = GM

4π

2

r

3

comparing with given equation T

2

=Kr

3

K=

GM

4π

2

KGM=4π

2