Recent content by pussimatti

So the zero-gravity-point is the point where both the partial derivatives (in 2D space, in 3D space all three partial derivatives) are zero. In one dimension I understand that there is a point where df/dx=0 but why should there be a point in a xy-plane where both ∂f/∂x=0 and ∂f/∂y=0 in the SAME...

Thank you for your answer. I know about Lagrangian points and I understand that in real world planets (or other objects) move unlike in my problem. So I'm interested in only a math problem where the radiuses of the objects are zero and the objects don't move. And I've tested this with my...

There is a point between Earth and moon where the gravitational field strength is zero. What about the same thing with three or more objects? With three of more objects, is there always at least one point where the gravitational field strength due to the objects is zero? Why / Why not?