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).
 
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