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Any celestial body can vary in its basic properties by considerable amounts that would have a proportionally considerable effect on a wide variety of conditions on the moon and those that live there. But if your question is "what is the only difference that would be apparent between an Earth-sized body in free solar orbit and one in a lunar orbit?" then we can restrict ourselves to just a few.

  1. Unless the moon/planet system has a huge Hill's constant (look it up on Wikipedia) the moon will most probably be tidally locked to its parent planet. This means the moon will always show one face towards the planet at all times. So one side of the moon will always have the planet in its sky and the other side never will.
  2. The moon's day and month period will be the same. The moon will have the entire celestial sphere migrate through its sky in the course of its month/day. The sun will continue to migrate through the celestial sphere on a yearly basis, as it would for a free planet.
  3. If the moon has a small Hill's constant and companion moons than the possibility of tidal heating exists. Such a moon would have little need of a sun are volcanic activity would be sufficient to heat the lithosphere.
  4. If the parent planet has a strong magnetic field than the moon inhabitants could extract power just by mounting back-yard solenoids.
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Q: What would happen if someone was born on a moon instead of a planet?
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