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The inner cylinder of this habitat will be spun at 3 RPM to produce 1G at the surface of the cylinder.  The outer cylinder will be stationary.  The gap between the two cylinders will normally be a vacuum.  Virtually all materials to construct the habitat will be derived from asteroid material. The outer cylinder will be constructed from asteroid regolith, two meters thick, to provide full radiation shielding. It will also serve as an outer pressure vessel, as a backup to the inner pressure vessel.  Areas shown in green will be pressurized to one atmosphere.  Light grey areas are unpressurized. The inner cylinder will be rotated at 3 RPM using linear motors located on the cylinder at both ends and the middle.  It will be supported by magnetic bearings.  This is similar to the scheme used for maglev trains.  The cylinder will also be supported by magnetic bearings at the end caps. Since the outer cylinder is stationary, it can be used to support a number of subsystems, including a nuclear reactor.  Space Habitat Beta will be able to provide accommodations for over 1000 residents.  The environment will be Earth-like in almost all respects.
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