On-Sky Detection Biases for Plutinos in the Kozai Resonance

Astronomy and Astrophysics – Astronomy

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Scientific paper

Because of their nearby location within the transneptunian region (a 39.4 AU), the plutinos (objects in the 3:2 mean-motion resonance with Neptune) are especially well-studied, with 89 high-quality orbits currently listed in the Minor Planet Center database. We perform detailed modeling of the on-sky detection biases for plutinos that are simultaneously in the Kozai secular resonance. Kozai plutinos show periodic oscillations in eccentricity and inclination, with the argument of perihelion oscillating around 90 or 270 degrees with a given Kozai libration amplitude. Because of this, perihelion always occurs out of the plane of the ecliptic, biasing magnitude-limited ecliptic surveys against finding these objects. Lykawka & Mukai (2007, Icarus 189) determine that 22% of known plutinos are in the Kozai resonance, while Gladman et al. (2010, AJ submitted) estimate an intrinsic Kozai fraction of only 10% by debiasing the Canada-France Ecliptic Plane Survey (CFEPS). Surveys will detect different ratios of Kozai/non-Kozai plutinos depending on the ecliptic latitude and longitude, so debiasing to find the true ratio is complex. Even a survey that covers most or all of the sky will detect an apparent Kozai fraction that is different from the true fraction. The sky locations where non-Kozai plutinos peak in detectability depends on the libration amplitude, the inclination, and the eccentricity, as is true for all of the mean-motion resonances. Where the Kozai plutinos peak in detectability depends on the range of allowed Kozai libration amplitudes, which in turn affects the inclination and eccentricity. We present a "map” of the on-sky plutino Kozai fraction as will be detected by flux-limited surveys. This will be especially important for the Large Synoptic Survey Telescope (LSST) and Panoramic Survey Telescope & Rapid Response System (Pan-STARRS) projects which will both detect large numbers of plutinos as they sweep the sky.

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