According to Kepler's law,the time period of a satellite varies with its radius as:

The earth $E$ moves in an elliptical orbit with the sun $S$ at one of the foci as shown in the figure. Its speed of motion will be maximum at the point:

Which of the following orbits is a possible orbit for a planet?

Which of the following graphs represents the motion of a planet moving about the sun?

If $J$ is the angular momentum of a planet revolving around the Sun,what is the areal velocity of the planet?

India's Mangalyaan was sent to Mars by launching it into a transfer orbit $EOM$ around the Sun. It leaves the Earth at $E$ and meets Mars at $M$. If the semi-major axis of Earth's orbit is $a_e = 1.5 \times 10^{11} \, m$ and that of Mars' orbit is $a_m = 2.28 \times 10^{11} \, m$, using Kepler's laws, estimate the time taken for Mangalyaan to reach Mars from Earth in days.