The spacewatch wide-area survey for bright centaurs and trans-neptunian objects

We have conducted a large-area search for the brightest members of the trans-Neptunian and Centaur/scattered-disk asteroid populations by reprocessing archival scans from the Spacewatch 0.9 m telescope at Kitt Peak. Our survey encompasses 331 scans taken from 1995 September to 1999 September and has a raw sky coverage of 1483.8 deg². We discovered five trans-Neptunians and five Centaur/ scattered-disk objects using an automated motion detection code. In addition, we serendipitously found four trans-Neptunians and two Centaur/scattered-disk objects that had been previously discovered. This survey is unique in that it involves a method that has a reasonable chance to reacquire its lost objects. In this paper we develop techniques to aid our understanding of our software efficiency and survey procedures. We use this understanding to "convolve" our raw sky coverage with our measured detection efficiency and a model of our scan coverage to estimate what fraction of survey areas can be considered "new." Our large sky coverage extends the cumulative luminosity function of the trans-Neptunians into a region previously constrained only by upper limits, and it allows a power-law fit to be attempted to the Centaur cumulative luminosity function. In objects per square degree brighter than R = 21.5, we find cumulative surface densities of Centaurs to be 0.017 ± 0.011, of trans-Neptunians to be 0.040 ± 0.018, and scattered-disk objects to be 0.007 ± 0.004. We extrapolate these values to estimate the number of each class in the ecliptic brighter than R = 21.5: 100 Centaurs, 400 trans-Neptunians, and 70 scattered-disk objects. Orbit analysis by the Minor Planet Center suggests that three of our five trans-Neptunians are resonators: 1998 VG₄₄ is in the 3:2, 1995 SM₅₅ appears to be in the 5:3, and 1998 SN₁₆₅ appears to be in the 7:5 resonance.