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Oct 21, 2014 at 15:04 comment added SF. ...correction. LEO of ~35700km is insufficient. An orbit of about 45000km with period of 1/20 Moon period would be sufficient; 1/20 of its circumference at its maximum distance converts to about 1.85 degree angular diameter from the Moon; Earth angular size is 1.84 degree when seen from the Moon.
Oct 21, 2014 at 14:33 comment added SF. +1 for #3. It's a very elegant solution and the orbit wouldn't need to be all that terribly high; a polar orbit of altitude close to GEO (but polar) would easily suffice, with 1/27 moon period, moving in phase such that it's never eclipsed by Earth.
Oct 21, 2014 at 11:00 history answered Phil H CC BY-SA 3.0