What is the direction of areal velocity of the earth around the sun ?
Areal velocity,
$\frac{d \mathrm{~A}}{d t}=\frac{\mathrm{L}}{2 m}=\frac{r \times m v}{2 m}=\frac{1}{2}(r \times v)$
Where $\mathrm{L}$ is the angular momentum and $m$ is the mass of the earth.
Hence, the direction of areal velocity $\left(\frac{d \mathrm{~A}}{d t}\right)$ is in the direction of $(r \times v)$.
Three equal mass satellites $A, B,$ and $C$ are in coplanar orbits around a planet as shown in the figure. The magnitudes of the angular momenta of the satellites as measured about the planet are $L_A, L_B$, and $L_C$. Which of the following statements is correct?
If the earth suddenly shrinks to $\frac{1}{64}$ th of its original volume with its mass remaining the same, the period of rotation of earth becomes $\frac{24}{ x } h$. The value of $x$ is $.......$
A planet has orbital radius twice as the earth's orbital radius then the time period of planet is .......... $years$
Two planets $A$ and $B$ of equal mass are having their period of revolutions $T_{A}$ and $T_{B}$ such that $T_{A}=2 T_{B}$. These planets are revolving in the circular orbits of radii $I_{A}$ and $I_{B}$ respectively. Which out of the following would be the correct relationship of their orbits?
A satellite is in a circular equatorial orbit of radius $7000\,km$ around the Earth. If it is transferred to a circular orbit of double the radius then its angular momentum will be