Physics, asked by SultanSalahuddin, 11 months ago

derivation of T² = 8H/g please​

Answers

Answered by dipesh5715
0

Explanation:

Kepler's third law states that square of period of revolution (T) of a planet around the sun, is proportional to third power of average distance r between sun and planet

i.e T

2

=Kr

3

here K is constant.

If the masses of sun and planet are M and m respectively than as per Newton's law of gravitation force of attraction between them is

F=

r

2

GMm

, here G is gravitational constant The relation between G and K is described as

HARD

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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

2

r

3

comparing with given equation T

2

=Kr

3

K=

GM

2

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