$A$ satellite is moving around the earth with speed $V$ in a circular orbit of radius $r$. If the orbital radius is decreased by $2\%$,the speed of the satellite will

What is a geostationary satellite? What is the orbital period of a geostationary satellite?

What is the angle between the equatorial plane and the orbital plane of $(a)$ a polar satellite? $(b)$ a geostationary satellite?

Two stars of masses $m_1$ and $m_2$ are parts of a binary star system. The radii of their orbits are $r_1$ and $r_2$ respectively,measured from the centre of mass of the system. The magnitude of the gravitational force that $m_1$ exerts on $m_2$ is

Two planets,$A$ and $B$,orbit around a star such that the time period of $A$ is $8$ times the time period of $B$. The ratio of the orbital velocities of planets $A$ and $B$ 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