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To change the orbit you need to change the energy (that's fine) but also the angular momentum. A closer orbit of the Moon has a lower angular momentum. Total angular momentum is conserved. Where did the difference go?Melbourne Guy said:But your calcs are suggestive, is there a practical way to harness orbital energy?
Lowering the Moon's orbit to geostationary orbit would release 3.1*1029 J by the way, a factor 10 more than calculated above. The factor 1/2 comes from the ratio of total energy to gravitational energy. Tides would be a massive problem until the orbit is locked to Earth's rotation.
@mc Kravitz: Please keep posts on topic here. Not sure what you mean by "radial ideas" (radical ideas?), but they might not be a good fit anywhere. Moderators/Mentors have a green "Mentor" badge, like the one you can see at the top of this post.