
doi: 10.2514/3.28013
The problem of optimal location of a space colony is treated by consideration of a baseline transfer trajectory from the mass-catching point at L2 to high Earth orbit. Locations treated include the 2:1, 5:2, 7:3, and 3:1 resonances; nominal candidate orbits are found as periodic orbits in the restricted three-body problem. Optimal colony inclination is estimated via the method of phase equilibria. The candidates are evaluated according to criteria derived from operational considerations, including parametric studies of transfer trajectories from L2, and from long-term numerical integrations via CowelPs method in a restricted four-body problem. The 7:3 resonance is eliminated because it is unstable. The 3:1 fails because of excessive A V requirements for the transfer. The 5:2 is rejected because it gives difficulties involving a phasing maneuver, required prior to terminal rendezvous. The 2:1 resonance is selected and its advantages are noted.
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