Mathematical Methods for an Accurate Navigation of the Robotic Telescopes

Vadym Savanevych, Sergii Khlamov (), Oleksandr Briukhovetskyi, Tetiana Trunova and Iryna Tabakova
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Vadym Savanevych: Department of Systems Engineering, Kharkiv National University of Radio Electronics, Nauki Ave., 14, 61166 Kharkiv, Ukraine
Sergii Khlamov: Department of Media Systems and Technologies, Kharkiv National University of Radio Electronics, Nauki Ave., 14, 61166 Kharkiv, Ukraine
Oleksandr Briukhovetskyi: Western Center of Radio Engineering Surveillance, National Space Facilities Control and Test Center, Kosmonavtov Str., 896112 Mukacheve, Ukraine
Tetiana Trunova: Department of Media Systems and Technologies, Kharkiv National University of Radio Electronics, Nauki Ave., 14, 61166 Kharkiv, Ukraine
Iryna Tabakova: Department of Media Systems and Technologies, Kharkiv National University of Radio Electronics, Nauki Ave., 14, 61166 Kharkiv, Ukraine

Mathematics, 2023, vol. 11, issue 10, 1-19

Abstract: Accurate sky identification is one of the most important functions of an automated telescope mount. The more accurately the robotic telescope is navigated to the investigated part of the sky, the better the observations and discoveries made. In this paper, we present mathematical methods for accurate sky identification (celestial coordinates determination). They include the automatic selection of the reference stars, preliminary and full sky identification, as well as an interaction with international databases, which are a part of the astrometric calibration. All described methods help to receive accurately calculated astrometric data and use it for the positional calibration and better navigation of the automated telescope mount. The developed methods were successfully implemented in the Collection Light Technology (CoLiTec) software. Through its use, more than 1600 small solar system objects were discovered. It has been used in more than 700,000 observations and successful sky identifications, during which, five comets were discovered. Additionally, the accuracy indicators of the processing results of the CoLiTec software are provided in the paper, which shows benefits of the CoLiTec software and lower standard deviation of the sky identification in the case of low signal-to-noise ratios.

Keywords: mathematics; image processing; sky identification; astrometric reduction; celestial coordinates; robotic telescopes; calibration; navigation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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