Position Derivative of Acceleration Due to Gravity

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SUMMARY

The discussion centers on the concept of taking the position derivative of acceleration due to gravity, which is indeed meaningful and relates to the tidal forces experienced in gravitational fields. As one approaches a massive body, the acceleration due to gravity increases, leading to variations in gravitational pull. This phenomenon is directly linked to the gradient of the gravitational field, which describes how gravitational acceleration changes with position.

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Sagekilla
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I had a thought before and I'm not sure if this is meaningful to ask or even possible to ask but I'd figure it's worth a shot.

Is it meaningful to take the position derivative of acceleration due to gravity? I'd imagine, at least intuitively, this sounds like it's possible. As you move along space, the acceleration you'd experience would be greater as you approach the mass which is creating the gravitational field.

Or is that just nothing more than taking the gradient of the gravitational field?
 
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Hi Sagekilla! :smile:
Sagekilla said:
Is it meaningful to take the position derivative of acceleration due to gravity?

Yes, and that's the tidal force, that pulls water away from the Earth, or that stretches satellites.
 

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