Max Hofbauer
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Our moon is a naturally ocurring lopsided body. That must mean that the center of gravity is outside the center of geometry. The only way I can imagine such a mass distribution, requires a basically solid interior. Otherwise the material would be subjected to a slow flow, creating heat and dampening the movement. It would also mean that any bodies presenting a slight off-axis (geometrical axis, that is) rotation MUST have a solid interior and MUST have been tidally locked to another body at some point of their existence. The most probable kind of movement will not be the classical (linear) pendular action, but rather like a pendulum describing circles. You can ifigure it like the movement of a precessing top (without accounting for the spin itself), a wobbling movement. Don´t picture it as a stop-n-go movement, like a bicicle wheel. For more clarity you can make a conceptual model, using a ball with some excentric inner weight. From the surface of such an world, the sun would be discribing circles in the sky if the observer is in the center of the sun-facing side, and arches if the observer moves to the "twilight-zone". By the way; the twilight zone will probabely be best to live in, a ring-shaped area, trapped between too hot and too cold. Check the kind of movement in this video on lunar libration:
https://commons.wikimedia.org/wiki/...Lunar_libration_with_phase_Oct_2007_450px.gif
The other possible movement would be pendular in nature, featuring a stop-n-go kind of motion (like a swinging bike wheel). It will probabely be much slower. There would be two distinct, crescent-shaped, habitable zones (on meridians 180 and -180), stretching from "pole to pole", but not quite connecting...
https://commons.wikimedia.org/wiki/...Lunar_libration_with_phase_Oct_2007_450px.gif
The other possible movement would be pendular in nature, featuring a stop-n-go kind of motion (like a swinging bike wheel). It will probabely be much slower. There would be two distinct, crescent-shaped, habitable zones (on meridians 180 and -180), stretching from "pole to pole", but not quite connecting...