Abstract
Trojan asteroids are found in the equilateral triangle Lagrange points of the Sun-Jupiter system in great number, though they also exist less prolifically in other Sun-planet systems. Despite up to planetary mass Trojans being predicted in extrasolar systems (i.e. exotrojans), they remain largely unconfirmed, though with recent strong candidate evidence emerging. We turn the current search for exotrojans to radio pulsars with low-mass companions ( $\sim0.01\,\rm{M}_\odot$ ) using accurately measured pulse times of arrival. With techniques developed for detecting the reflex motion of a star due to a librating Trojan, we place reasonable mass constraints ( $\sim 1\,\rm{M}_\oplus$ ) on potential exotrojans around binary pulsars observed in the NANOGrav 15-year data set. We find weak evidence consistent with$\sim1\,\rm{M}_{\rm J}$exotrojans in the PSR~J0023+0923 and PSR~J1705 $-$ 1903 systems, though the signals likely have a different, unknown source. We also place a libration-independent upper mass constraint of$\sim8$ \,M $_{\rm J}$on exotrojans in the PSR~1641+8049 binary system by looking for an inconsistency between the times of superior conjunction as measured by optical light curves and those predicted by radio timing.