A geostationary satellite orbits around the earth in a circular orbit of radius $36000\, km$. Then, the time period of a satellite orbiting a few hundred kilometres above the earth’s surface $({R_{{\rm{Earth}}}} = 6400\,km)$ will approximately be ....... $hours$
A geostationary satellite orbits around the earth in a circular orbit of radius $36000\, km$. Then, the time period of a satellite orbiting a few hundred kilometres above the earth’s surface $({R_{{\rm{Earth}}}} = 6400\,km)$ will approximately be ....... $hours$
$\frac{1}{2}$
$1$
$2$
$4$
A geostationary satellite orbits around the earth in a circular orbit of radius $36000\, km$. Then, the time period of a satellite orbiting a few hundred kilometres above the earth’s surface $({R_{{\rm{Earth}}}} = 6400\,km)$ will approximately be ....... $hours$
$\frac{{{T_2}}}{{{T_1}}} = {\left( {\frac{{{r_2}}}{{{r_1}}}} \right)^{3/2}}\, $
$\Rightarrow \,{T_2} = 24\,{\left( {\frac{{6400}}{{36000}}} \right)^{3/2}} \cong 2\,hour$
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