Inversion Formula for Determining the Parameters of an Astrometric Binary

@article{Asada2004InversionFF,
title={Inversion Formula for Determining the Parameters of an Astrometric Binary},
author={H. Asada and Toshio Akasaka and M. Kasai},
journal={Publications of the Astronomical Society of Japan},
year={2004},
volume={56}
}

It is believed that some numerical technique must be employed for the determination of the system parameters of a visual binary or a star with a planet because the relevant equations are not only highly nonlinear but also transcendental owing to the Kepler's equation. Such a common sense, however, is not true; we discover an analytic inversion formula, in which the original orbital parameters are expressed as elementary functions of the observable quantities such as the location of four… Expand