Computational algorithm for determining the primary orbits of asteroids using the Väisälä method

In this work we have presented the computational algorithm for determining the primary orbits and discovery of the different asteroids using the Väisälä method. The first step of the algorithm is to perform the observations and the standard data reduction. It was performed in scope of the common mathematical methods for the astronomical image processing implemented in the CoLiTec software. It includes the inverse median filtration, calibration using the master frames, object detection, etc. Then the orbit parameters, like the right ascension and declination, were determined for a certain moment. After receiving of the two observations of an investigated object at different times, the classic Väisälä method is applied. For this the primary orbit from two close observations is found. After that, the geocentric rectangular coordinates and the appropriate geocentric velocity components were determined. It gave us a possibility to find the Keplerian elements of the object’s orbit at interested time. The developed computational algorithm is realized as a processing pipeline, which includes combination of the CoLiTec software pipeline and the especially developed tool with implementation of the Väisälä method. The developed computational algorithm for determining the primary orbits and discovery of the different asteroids using the Väisälä method was tested in practice. With its help the several new asteroids were first reported as well as the lost small bodies of the Solar System were found on the Odesa-Mayaky observatory and the Kyiv comet station.