The "orbits" in this case have no closed-form in terms of circular or elliptic functions. The locus of the body will tend to fill space in an annular region around the central point.
This image of a $F=-1/r$ orbit was produced by "central force workbench" by Juan M. Aguirregabiria.
The potential is now of the form $V= \ln|r|$. The only ...
You can say that if a object has kinetic energy in the vicinity of a massive object it has potential energy.
And if the angle bitwext the radial vector and velocity vector
Is not 0 or 180 secs
The object has angular momentum
And a path with angular momentum
Light has kinetic energy so it can be bent by Newtonian gravity.
In fact I can’t swing by a ...