I have a dumb question about gravitational fields

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A one-dimensional gravitational field is theoretically possible, as discussed in the forum. According to Newton's law of gravity, the force is dependent solely on the distance between two bodies (r) and does not vary with angles, indicating a linear nature. Additionally, Gauss' law suggests that a point mass generates a constant gravitational field in one dimension, which does not change with distance from the mass. This understanding clarifies the concept of gravitational force acting in a linear direction.

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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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