I now have a pretty good idea for the whole FE system, based on what I've been told here. There is Dark Energy permeating the Universe, accelerating everything 'upwards' at 9.8 m/s/s. However, the 'base' of the Earth is made of something that stops Dark Energy from travelling through it, so the surface of the Earth does not experience this acceleration, thus the 'illusion' of gravity is made.
However, as the Sun is directly above the Earth, seemingly shielded from the Dark Energy by the Earth itself, the Dark Energy must somehow 'curve' around the edge of the Earth, so it encompasses the Earth above its surface, creating a dome free of DE that contains the Earth's biosphere. I believe the stated FE figure for the distance between Earth and Sun was about 3000 miles, so the Dark Energy must rejoin before that.
Now, given that it is technologically possible to go at a faster acceleration than the Earth, as plane and rocket flights can attest to, wouldn't it simply be a matter of reaching an altitude of just below 3000 miles (less nearer the edge) in which case, the vessel will have entered the Dark Energy, and would no longer require any accelerating thrust of its own, as the Dark Energy will now keep the vessels position relative to the Earth (I'm assuming it comes to a stop first, just inside the Dark Energy Field). Now it could use much weaker thrusters to travel freely through space, not having to worry about being pulled down to the surface of the Earth. Indeed, seeing as the Moon and Sun do have gravity, even in FE, it should be fairly straightforward to reach the Moon.