Question

State the law of periods​

Answer 1

Answer:

Kepler’s Law of Periods – The square of the time period of the planet is directly proportional to the cube of the semimajor axis of its orbit.

hope its helpful to you.

Answer 2

${\bold{\blue{\underline{\red{An}\pink{sw}\green{er}\purple{:-}}}}}$

➤ Kapler's law :-

☛ Law of periods :-The square of time taken by the planet to revolve around the sun is directly proportional to the cube of mean distance.

$\rm\:{T}^{2}\propto\:{r}^{3}$

$\rm\:T=k{r}^{3}$

$\underbrace\purple{{ \bf \:More\: information}}$

☛ Law of orbit :- Every planet revolves around the sun in an elliptical orbit with sun at one of the foci.

☛ Law of area :- The line joining the sun and the planet sweeps out equal area in equal intervals of time.

❍  Inverse square law :-

$\rm\:F=\dfrac{m{v}^{2}}{r}$

$\rm\:Distance=2\pi{r}$

$\rm\:v=\dfrac{2\pi{r}}{T}$

$\rm\:F = m (2\pi{r}/T)^2/ T/r$

$\rm\:F=m\dfrac{4{\pi}^{2}{r}^{2}}{{T}^{2}r}$

$\rm\:F=m\dfrac{4\pi^{2}r}{kr^3}$

$\rm\:F=\bigg(\dfrac{m4{\pi}^{2}}{k}\bigg)\times\:\dfrac{1}{{r}^{2}}$

$\rm\:F\propto\:\dfrac{1}{{r}^{2}}$