  Searching for the non-Trojan Jupiter co-orbitals we have numerically
integrated orbits of 3\,160 asteroids and 24 comets discovered by October 2010
and situated within and close to the planet co-orbital region. Using this
sample we have been able to select eight asteroids and three comets and have
analyzed their orbital behavior in a great detail. Among them we have
identified five new Jupiter co-orbitals: \cu, \sa, \ql, \gh, and \Larsen, as
well as we have analyzed six previously identified co-orbitals: \hr, \ug, \qq,
\aee, \wc\ and \ar.
  \cu\ is currently on a quasi-satellite orbit with repeatable transitions into
the tadpole state. Similar behavior shows \gh\ which additionally librates in a
compound tadpole-quasi-satellite orbit. \ql\ and \Larsen\ are the co-orbitals
of Jupiter which are temporarily moving in a horseshoe orbit occasionally
interrupted by a quasi-satellite behavior. \sa\ is moving in a pure horseshoe
orbit. Orbits of the latter three objects are unstable and according to our
calculations, these objects will leave the horseshoe state in a few hundred
years. Two asteroids, \qq\ and \aee, are long-lived quasi-satellites of
Jupiter. They will remain in this state for a few thousand years at least. The
comets \ar\ and \wc\ are also quasi-satellites of Jupiter. However, the
non-gravitational effects may be significant in the motion of these comets. We
have shown that \wcs\ is moving in a quasi-satellite orbit and will stay in
this regime to at least 2500 year. Asteroid \hr\ will be temporarily captured
in a quasi-satellite orbit near 2050 and we have identified another one object
which shows similar behavior - the asteroid \ug, although, its guiding center
encloses the origin, it is not a quasi-satellite. The orbits of these two
objects can be accurately calculated for a few hundred years forward and
backward.
