  Synthetic tracking (ST) has emerged as a potent technique for observing
fast-moving near-Earth objects (NEOs), offering enhanced detection sensitivity
and astrometric accuracy by avoiding trailing loss. This approach also empowers
small telescopes to use prolonged integration times to achieve high sensitivity
for NEO surveys and follow-up observations. In this study, we present the
outcomes of ST observations conducted with Pomona College's 1 m telescope at
the Table Mountain Facility and JPL's robotic telescopes at the Sierra Remote
Observatory. The results showcase astrometric accuracy statistics comparable to
stellar astrometry, irrespective of an object's rate of motion, and the
capability to detect faint asteroids beyond 20.5th magnitude using 11-inch
telescopes. Furthermore, we detail the technical aspects of data processing,
including the correction of differential chromatic refraction in the atmosphere
and accurate timing for image stacking, which contribute to achieving precise
astrometry. We also provide compelling examples that showcase the robustness of
ST even when asteroids closely approach stars or bright satellites cause
disturbances. Moreover, we illustrate the proficiency of ST in recovering NEO
candidates with highly uncertain ephemerides. As a glimpse of the potential of
NEO surveys utilizing small robotic telescopes with ST, we present significant
statistics from our NEO survey conducted for testing purposes. These findings
underscore the promise and effectiveness of ST as a powerful tool for observing
fast-moving NEOs, offering valuable insights into their trajectories and
characteristics. Overall, the adoption of ST stands to revolutionize
fast-moving NEO observations for planetary defense and studying these celestial
bodies.
