Henry probably knows about this already, but it was news to me:

http://www.stk.com/pdf/white_papers/0800_wsb.pdf

There is a class of trajectories from LEO to lunar orbit
for which the lunar orbit insertion is entirely ballistic
(no delta-V required).  This reduces the total delta-V for
a one-way LEO-to-moon mission by about 25%, relative to
the classic Apollo-type trajectory.

What you do is launch on a long ellipse toward the Sun,
way out past the Moon's orbit around the Earth.  You're
still in Earth orbit, but the perturbations on that orbit
due to the Sun and Moon are significant.  If you do it
right, the perturbations warp the orbit to a much lower
eccentricity, such that the return trip passes lunar orbit
at a speed similar to the Moon's.  Then a close approach
past the Moon bends the velocity vector around parallel
to the Moon's velocity, or at least close enough to put
you into a (highly elliptical) lunar orbit.

Finding these trajectories is the sort of problem which
cannot be solved analytically.  It requires very detailed
numerical simulation, coupled with a lot of orbital insight
to guide the process.  Nevertheless, it's been done, and
it's getting easier to do.  The Japanese lunar probe Hiten
used such a trajectory a few years ago.

Cheers!
--Stu
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