Create a game of launching massless particles in a circular restricted three body problem, depicted in the rotating reference frame. Investigate Lagrange points, halo orbits, and Lissajous orbits. Orbits aren't simple ellipses anymore.
Maybe mod Kerbal Space Program. This probably already exists. Tasks: fly through to a given stationary point (fixed in which frame?); get to this orbit (from some other orbit); rendezvous with this orbiting craft.
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