Position Derivative of Acceleration Due to Gravity

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Taking the position derivative of acceleration due to gravity is indeed meaningful, as it relates to the concept of tidal forces. These forces arise from variations in gravitational acceleration experienced at different distances from a mass, such as Earth. As one approaches a massive body, the acceleration due to gravity increases, which can be quantified by this derivative. This concept explains phenomena like the stretching of satellites and the effects on ocean tides. Understanding this relationship is crucial in fields like astrophysics and orbital mechanics.
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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.
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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