Applications of Statistical Ranging

Details Applications of Statistical Ranging Applications of Statistical Ranging

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001dps....33.5902b&link_type=abstract

American Astronomical Society, DPS Meeting #33, #59.02; Bulletin of the American Astronomical Society, Vol. 33, p.1148

Statistics

Computation

Scientific paper

Statistical ranging (Virtanen et al. 2001; Icarus, in press) is a completely general approach to orbit estimation that is particularly applicable to short orbital arcs, where orbit computation is almost always nonlinear. Orbits are selected in orbital--element phase space using Monte Carlo techniques. The method can be applied to asteroids having only two observations. We remark on some applications of statistical ranging: Classification of orbit type (e.g., Aten, Apollo). Resolution of orbital element ambiguity. Short--arc TNOs. Time dependence of ephemeris uncertainty. Night--to--night linkage at high asteroid surface density. A multi--dimensional all--sky map of moving objects. Equivalence of astrometric observations and orbital--element probability density. Our research has been supported by NASA Grant NAG5--4742, Lowell Observatory, and the University of Helsinki (EB); and the Academy of Finland and Turin Observatory (KM).

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