Two satellites $S_{1}$ and $S_{2}$ are revolving around a planet in the opposite sense in coplanar circular concentric orbits. At time $t=0$, the satellites are farthest apart. The periods of revolution of $S_{1}$ and $S_{2}$ are $3 \,h$ and $24 \,h$, respectively. The radius of the orbit of $S_{1}$ is $3 \times 10^{4} \,km$. Then, the orbital speed of $S_{2}$ as observed from
the planet is $4 \pi \times 10^{4} \,km h ^{-1}$, when $S_{2}$ is closest from $S_{1}$
the planet is $2 \pi \times 10^{4} \,km h ^{-1}$, when $S_{2}$ is farthest from $S_{1}$
$S_{1}$ is $\pi \times 10^{4} \,km h ^{-1}$, when $S_{2}$ is closest from $S_{1}$
$S_{1}$ is $3 \pi \times 10^{4} \,km h ^{-1}$, when $S_{2}$ is closest to $S_{1}$
A planet takes $200$ days to complete one revolution around the Sun. If the distance of the planet from Sun is reduced to one fourth of the original distance, how many days will it take to complete one revolution
The maximum and minimum distances of a comet from the sun are $8 \times {10^{12}}\,m$ and $1.6 \times {10^{12}}\,m$. If its velocity when nearest to the sun is $60\, m/s$, what will be its velocity in $m/s$ when it is farthest
An earth satellite $S$ has an orbit radius which is $4$ times that of a communication satellite $C$. The period of revolution of $S$ is ........ $days$
A binary star system consists of two stars one of which has double the mass of the other. The stars rotate about their common centre of mass :-
The time period of a satellite of earth is $5\, hours$. If the separation between the centre of earth and the satellite is increased to $4\, times$ the previous value, the new time period will become ....... $h$