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Is perceived weightlessness greater in orbit due to constantly falling?

I'm familiar with $F_{g} = G\frac{m_{1}m_{2}}{r^{2}}$ and I was wondering if that means anyone orbiting the Earth actually experiences greater perceived weightlessness due to orbit itself? It seems likely, since we can simulate weightlessness without actually leaving Earth, but is there a way to work out how much "more" weightlessness people in orbit may perceive? Additionally, does someone on the way to the moon then perceive less weightlessness once they're out of Earth's orbit and in transit to the moon? And would someone in geosynchronous orbit around Earth perceive any added weightlessness at all due to their orbit?

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