A planet moves round the Sun in an elliptical orbit such that its K.E in $k_1$and $k_2$when it is nearest to the Sun and farthest from the Sun respectively.

If total energy of the planet is u, then ration of largest distance $r_2$ and smallest distance $r_1$ between
planet and the Sun is $\frac{\mathrm{u}-{\mathrm{k}}_1}{\mathrm{u}-{\mathrm{k}}_2}$

If ${\mathrm{r}}_2=2{\mathrm{r}}_1$the total energy of planet in terms of ${\mathrm{k}}_1$and ${\mathrm{k}}_2 \mathrm{is} 2{\mathrm{k}}_1 – {\mathrm{k}}_2$

If total energy of the planet is u, then ration of largest distance $r_2$ and smallest distance $r_1$ between
planet and the Sun is $\frac{\mathrm{u}-{\mathrm{k}}_2}{\mathrm{u}-{\mathrm{k}}_1}$

If ${\mathrm{r}}_2=2{\mathrm{r}}_1$  the total energy of planet in terms of ${\mathrm{k}}_1 \mathrm{and} {\mathrm{k}}_2 \mathrm{is} 2{\mathrm{k}}_{2 }– {\mathrm{k}}_1$