Satellite Energy

On a circular orbit:

$$K = \frac{GMm}{2r}, \quad U = -\frac{GMm}{r}, \quad E = K + U = -\frac{GMm}{2r}$$

So $\relax U = -2K$ and $\relax E = -K$.

In a circular orbit U = −2K, so E = K + U = −K.

A higher orbit has $e$ closer to zero. Raising a satellite takes the energy $\relax W = E_2 - E_1$, even though it ends up slower.