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The problem arises when we do Hohmann transfer problems. Take the following
numerical example. In a transfer from a 7E6 m radius orbit to a 1E7 radius
orbit about the Earth the required delta Vs are obtained by subtracting the
lower circular orbit speed from the perigee speed of the transfer orbit (8188
m/s - 7449 m/s = 639 m/s)
and subtracting the apogee speed of the transfer orbit from the upper
circular orbit speed (6316 m/s - 5731 m/s = 585 m/s).
... The energy of the lower circular orbit is -2.85E7 J, the energy of
the transfer orbit is -2.35E7 J, and the energy of the upper circular
orbit is -2.0E7 J.