Discovered in October 2010 by the LINEAR survey , P/2010 TO20 LINEAR-Grauer ( P/LG ) was initially classified as an inert Jupiter Trojan . Subsequent observations obtained in October 2011 revealed P/LG to be a Jupiter-family comet . P/LG has one of the largest perihelia ( q = 5.1 au ) and lowest eccentricities ( e = 0.09 ) of the known JFCs . We report on observations of P/LG taken on 29 October 2011 and numerical simulations of its orbital evolution . Analysis of our data reveals that P/LG has a small nucleus ( < 3 km in radius ) with broadband colours ( B - R = 0.99 \pm 0.06 mag , V - R = 0.47 \pm 0.06 mag ) typical of JFCs . We find a model dependent mass-loss rate close to 100 kg s ^ { -1 } , most likely powered by water-ice sublimation . Our numerical simulation indicate that the orbit of P/LG is unstable on very short ( 10 to 100 yr ) timescales and suggest this object has recently evolved into its current location from a more distant , Centaur-type orbit . The orbit , dynamics and activity of P/LG share similarities with the well known case of comet 29P/Schwassmann-Wachmann 1 .