Simplified solution to determination of a binary orbit
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We present a simplified solution to orbit determination of a binary system from astrometric observations. An exact solution was found by Asada, Akasaka and Kasai by assuming no observational errors. We extend the solution considering observational data. The generalized solution is expressed in terms of elementary functions, and therefore requires neither iterative nor numerical methods.
15 pages; text improved, Accepted for publication in the Astronomical Journal
15 pages; text improved, Accepted for publication in the Astronomical Journal