We identify a set of asteroids among Centaurs and Damocloids , that orbit contrary to the common direction of motion in the Solar System and that enter into resonance with Jupiter and Saturn .
Their orbits have inclinations I \ga 140 ^ { \circ } and semi-major axes a < 15 AU .
Two objects are currently in retrograde resonance with Jupiter : 2006 BZ8 in the 2/-5 resonance and 2008 SO218 in the 1/-2 resonance .
One object , 2009 QY6 , is currently in the 2/-3 retrograde resonance with Saturn .
These are the first examples of Solar System objects in retrograde resonance .
The present resonant configurations last for several thousand years .
Brief captures in retrograde resonance with Saturn are also possible during the 20 { , } 000 years integration timespan , particularly in the 1/-1 resonance ( 2006 BZ8 ) and the 9/-7 resonance ( 1999 LE31 ) .