$A$ satellite moves in a stable circular orbit around the Earth if (where $V_{H}$,$V_{c}$,and $V_{e}$ are the horizontal velocity,critical velocity,and escape velocity respectively):

$A$ satellite is in an elliptical orbit around a planet $P.$ It is observed that the velocity of the satellite when it is farthest from the planet is $6$ times less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest points is $......$

$A$ particle is moving in an elliptical orbit as shown in the figure. If $\vec{p}$, $\vec{L}$, and $\vec{r}$ denote the linear momentum, angular momentum, and position vector of the particle (from focus $O$) respectively at point $A$, then the direction of $\vec{\alpha} = \vec{p} \times \vec{L}$ is along

Which of the following statements is incorrect regarding a polar satellite?

What is a satellite? Give its types and uses.

Two stars of equal masses $M$ are orbiting in a circle of radius $R$. Their orbital time period is proportional to