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A satellite is in an elliptical orbit around the Earth as shown. The gravitational potential energy (GPE) of the Earth-satellite system at Point A is ${U}_{A}$ at a distance ${r}_{A}.$

If the kinetic energy at Point A $({K}_{A})$ is twice the kinetic energy at Point B $({K}_{B})$, what is ${K}_{B}$ in terms of ${U}_{A}$ ?

A

$-\sqrt {2}{U_A}$

B

$\left (\cfrac{\sqrt 2-2}{2}\right ){U_A}$

C

$\cfrac {U_A}{2}$

D

$\sqrt {2} {U_A}$

E

$2{U_A}$

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