Astronomy and Astrophysics – Astronomy
Scientific paper
May 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977spmf.conf.....h&link_type=abstract
American Institute of Aeronautics and Astronautics and Princeton University, Conference on Space Manufacturing Facilities, 3rd,
Astronomy and Astrophysics
Astronomy
Earth-Moon System, Space Colonies, Space Transportation, Three Body Problem, Trajectory Optimization, Flight Time, Four Body Problem, Lagrangian Equilibrium Points, Launching Sites, Lunar Launch, Lunar Logistics, Numerical Integration, Orbital Resonances (Celestial Mechanics), Space Commercialization, Transfer Orbits
Scientific paper
This paper constitutes a comprehensive overview of the main features of the dynamical problems associated with transport of lunar mass to a space colony via a catcher near the L2 libration point. A theoretical treatment is given for achromatic trajectories (those for which the arrival point is insensitive to launch errors), and a method is presented to find them. This method is used in the elliptic restricted three-body problem to generate maps of key parameters associated with mass-catching near L2. Catching strategies are considered, and equations are given for minimum-energy catcher maneuvering. The problem of optimal colony location is treated by consideration of operational aspects and of long-term numerical integrations via Cowell's method, in a planar restricted four-body problem. Optimal colony inclination is estimated via the method of phase equilibria. It is concluded that a 2:1 or 5:2 resonant orbit is preferable over alternatives of 3:1 or 7:3 resonances, and is markedly superior to L5.
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