Mathematics – Probability
Scientific paper
Jul 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aas...21012302a&link_type=abstract
American Astronomical Society Meeting 210, #123.02; Bulletin of the American Astronomical Society, Vol. 39, p.331
Mathematics
Probability
Scientific paper
Previous work on determining orbits of extra-solar planets included the assumption that the exo-solar system contained only one planet. In such cases, there was no ambiguity about the identity of the detected planet and a unique probability distribution for its orbit could be produced. However, planet detection systems that can observe large fractions of the extra-solar system may detect more than one planet on a given observation. This complicates the task of developing sets of possible orbits for these planets using a probabilistic method, as this approach requires an unambiguous observation history of detection times and positions associated with each planet. This paper answers the question, "Is distinguishability necessary to characterize the orbits of an extra-solar planetary system in a few observations?” We discuss the viability of various strategies, including a brute force solution and a more elegant Bayesian-inspired approach.
Arenberg Jonathan
Glassman Tiffany
Lo Amy S.
Schuman Todd
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