A planet has orbital radius twice as the earth's orbital radius then the time period of planet is .......... $years$
$4.2$
$2.8$
$5.6$
$8.4$
A planet revolving in elliptical orbit has
$(A)$ a constant velocity of revolution.
$(B)$ has the least velocity when it is nearest to the sun.
$(C)$ its areal velocity is directly proportional to its velocity.
$(D)$ areal velocity is inversely proportional to its velocity.
$(E)$ to follow a trajectory such that the areal velocity is constant.
Choose the correct answer from the options given below
During motion of a planet from perihelion to aphelion the work done by gravitational force of sun on it is ...........
A star like the sun has several bodies moving around it at different distances. Consider that all of them are moving in circular orbits. Let $r$ be the distance of the body from the centre of the star and let its linear velocity be $v$, angular velocity $\omega $, kinetic energy $K $, gravitational potential energy $U$, total energy $E$ and angular momentum $l$. As the radius $r$ of the orbit increases, determine which of the abovequantities increase and which ones decrease.
The distance of neptune and saturn from sun are nearly ${10^{13}}$ and ${10^{12}}$ meters respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio
Kepler's second law (law of areas) is nothing but a statement of