Simplified solution to determination of a binary orbit

Abstract

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

References in corpus (3)

• A Mass for the Extrasolar Planet Gl 876b Determined from Hubble Space Telescope Fine Guidance Sensor 3 Astrometry and High-Precision Radial Velocities
• The Discovery of Two New Satellites of Pluto
• Inversion formula for determining parameters of an astrometric binary

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• Note on Inversion Formula to Determine Binary Elements by Astrometry
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• Uncovering the identities of compact objects in high-mass X-ray binaries and gamma-ray binaries by astrometric measurements
• Improving the Moment Approach for Astrometric Binaries: Possible Application to Cygnus X-1