Abstract
The distance from the sun to the center of the Galaxy \(R_{0}\) remains a fundamental parameter for Galactic structure. This study uses 36,061 A and F stars of all luminosity classes with position, parallax, and proper motion taken from the Hipparcos catalog and radial velocities from the Wilson and Strasbourg Data Center catalogs. The nonlinear kinematical equations of condition are solved by the Nelder–Mead simplex algorithm and give \(R_{0}=7.68\pm 0.07~\mbox{kpc}\). The randomness of the residuals, calculated by a runs test as 91.9 % probable, shows that the kinematical model yields satisfactory results.
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Branham, R.L. The distance to the Galactic center determined by A–F stars. Astrophys Space Sci 359, 54 (2015). https://doi.org/10.1007/s10509-015-2502-5
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DOI: https://doi.org/10.1007/s10509-015-2502-5