I have a dumb question about gravitational fields

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A one-dimensional gravitational field is theoretically possible, where gravitational force acts linearly rather than pulling objects toward a center. Newton's law of gravity indicates that the force depends solely on the distance between two masses, not their angular positions. This means that in a one-dimensional perspective, a point mass could create a constant gravitational field that does not change with distance. The discussion references Gauss' law, which supports the idea of a uniform gravitational field generated by a point source in one dimension. Overall, the concept challenges traditional views of gravitational attraction, focusing instead on linear movement.
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Is a one-dimensional gravitational field possible? I'm not sure if I'm using the correct terminology, what I mean is instead of pulling things into its center of gravity it pulls things in the same linear direction until it ejects it out.
 
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Perhaps I'm not understanding the question you're asking, but the gravitational force does act one dimensionally!

Newtons law of gravity gives us:

## F = \frac{G M1 M2}{r^2} ##

It is only dependent on the distance the two bodies are from each other ##r##, not their angles relative to each other (which would introduce a ##\phi## and ##\theta## dependence).
 
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e.bar.goum said:
Perhaps I'm not understanding the question you're asking, but the gravitational force does act one dimensionally!

Newtons law of gravity gives us:

## F = \frac{G M1 M2}{r^2} ##

It is only dependent on the distance the two bodies are from each other ##r##, not their angles relative to each other (which would introduce a ##\phi## and ##\theta## dependence).

This is one way to look at it.

Another way is from the field equation point of view of gravity, a la Gauss' law
\vec{\nabla} \cdot \vec{G} = - 4 \pi \rho

In one dimension, from this equation a point source simply generates a constant gravitational field (does not vary with distance from the point mass).
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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