  I summarize some recent models and ideas for the formation of axisymmetrical
structures of planetary nebulae and the three rings of SN 1987A, as follows.
(a) I review the general role of binary companions, including brown dwarfs and
planets. (b) I propose a mechanism for axisymmetrical mass loss on the AGB that
may account for the axially symmetric structures of elliptical planetary
nebulae and that operates for slowly rotating AGB stars. (c) I propose a model
for the formation of the two outer rings of SN 1987A, which is based on the
numerical simulation of Soker (1989), and discuss a mechanism for their
displacement from the exploding star.
