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My guess is 1/10 th g would not be significantly different from zero gravity as far as bone loss and other zero gravity health problems are concerned...
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How can you know that? There haven't been any experiments in 0.1 gee yet. However, if I had to guess, I'd say that living in 1/10th gravity would produce sufficient bone density to thrive in that environment, as the bones form density as a reaction to stress; only if the subject tried to return to Earth would there be a problem.
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Model two might need a lot longer tether than 100 meters (to reduce corriellis effect)
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Why merely reduce it when you can eliminate it simply by ensuring the axis of rotation of the body and the counterweight is parallel to the Earth's axis of rotation?
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No, that wouldn't work. You would get coriolis effects in rotating habitats wherever they are, orbiting a planet or just orbiting the Sun, or even in deep space between the stars.