  In this note, an interesting region about the Sun in phase space is described
where the permanent capture of an object, $P$, of small mass from interstellar
space can occur, under the gravitational perturbation of the resultant mass of
the Galaxy. $P$ is never ejected back into interstellar space and won't collide
with the Sun. It cycles about the Sun for all time, asymptotically approaching
the capture set. In addition to being permanently captured, $P$ is also weakly
captured. A recent result in \cite{Belbruno:2024} describes this region in
general. It has a fractal structure. This is applied to the permanent capture
of rogue planets and other objects from interstellar space
