Planetary system in the solar system describes

A planet moves around the sun. At a given point $P$, it is closest from the sun at a distance ${d_1}$ and has a speed ${v_1}$. At another point $ Q$, when it is farthest from the sun at a distance ${d_2}$, its speed will be

Describe the method for drawing an ellipse and explain foci of ellipse, midpoint, semi major axis.

The fig. shows the motion of a planet around the un in an elliptical orbit with sun at the  focus. The shaded areas can be assumed to be equal. If $t_1$ and $t_2$ represent the  time taken for the planet to move from $A$ to $B$ and $C$ to $D$ respectively, then

A satellite is in an elliptic orbit around the earth with aphelion of $6R$ and perihelion of $2R$ where $R = 6400 \,km$ is the radius of the earth. Find eccentricity of the orbit. Find the velocity of the satellite at apogee and perigee. What should be done if this satellite has to be transferred to a circular orbit of radius $6R$ ? $($ $G = 6.67 \times 10^{-11}\,SI$ $\rm {unit}$ and $M = 6 \times 10^{24}\,kg$$)$