The paper deals with a computational method for detection of the solar system minor bodies (SSOs), whose inter-frame shifts in series of CCD-frames during the observation are commensurate with the errors in measuring their positions. These objects have velocities of apparent motion between CCD-frames not exceeding three rms errors (3σ) of measurements of their positions. About 15% of objects have a near-zero apparent motion in CCD-frames, including the objects beyond the Jupiter's orbit as well as the asteroids heading straight to the Earth. The proposed method for detection of the object's near-zero apparent motion in series of CCD-frames is based on the Fisher f -criterion instead of using the traditional decision rules that are based on the maximum likelihood criterion. We analyzed the quality indicators of detection of the object's near-zero apparent motion applying statistical and in situ modeling techniques in terms of the conditional probability of the true detection of objects with a near-zero apparent motion. The efficiency of method being implemented as a plugin for the Collection Light Technology (CoLiTec) software for automated asteroids and comets detection has been demonstrated. Among the objects discovered with this plugin, there was the sungrazing comet C/2012 S1 (ISON). Within 26 min of the observation, the comet's image has been moved by three pixels in a series of four CCD-frames (the velocity of its apparent motion at the moment of discovery was equal to 0.8 pixels per CCD-frame; the image size on the frame was about five pixels). Next verification in observations of asteroids with a near-zero apparent motion conducted with small telescopes has confirmed an efficiency of the method even in bad conditions (strong backlight from the full Moon). So, we recommend applying the proposed method for series of observations with four or more frames.

2020 was the year of introduction of the Ukrainian new generation radio telescope RT-32 into the experimental operation. The test results of maser hydrogen and hydroxyl lines obtained during the experimental operation confirmed the correctness of the calculations and technological solutions of Ukrainian scientists and manufacturers Consortium. One of the further development directions of RT-32 as a radio astronomical research tool is to increase the accuracy of pointing the radio telescope to radio astronomical sources. One of the further development directions of RT-32 as a radio astronomical research tool is to increase the accuracy of pointing the radio telescope to astronomical radio sources. The latter is to be achieved by automating the processes of guidance error matrices formation and their integration during the observations. The formation of such a matrix presupposes taking into account the structural features of the antenna system and weather condition. The paper presents the results of geodetic measurements of the antenna system surface on different elevation angle, construction of the 3D model of the reflector. The method of constructing the error matrix, which at this stage of research provides the necessary simplicity of perception and interpretation of the obtained results by the human operator, is proposed. The results of the developed method verification using reference radio sources are given and the error matrices of elevation and azimuth pointing (dimension 81x81 elements) obtained with the use of said method are presented. The introduction of the results presented in the article into the radio telescope control system allowed increasing the accuracy of RT-32 radio telescope pointing in the C- and K- bands to the value of ~36″. This work partially was supported by Latvian Council of Science project "Joint Latvian-Ukrainian study of peculiar radio galaxy “Perseus A” in radio and optical bands. Nr: lzp-2020/2-0121".

A computational method for the automated formation of a typical form of a digital image of the investigated objects on a series of digital frames has been developed. Due to the imperfection of the mounting of digital cameras, as well as their automated mounts, their immobility at shooting during exposure time can be disturbed, which leads to the formation of "blurred" images of objects of various forms. Due to such inaccuracies in the tracking of objects on digital frames, even in one series, the typical form of the image of objects can vary from frame to frame. This fact of the difference in the standard form significantly complicates the execution of various image processing tasks. In order to simplify the evaluation of the image parameters of objects in a series of digital frames, it has been proposed to use a typical image on a digital frame corresponding to the average image of objects as a model of object images. In this case, the appearance of the image of the object, its form, the distribution of brightness in the image will be determined only by the typical image. This paper proposes a computational method for the automated formation and evaluation of the typical form of the image of an object in a digital frame based on the initial data – the actual given digital frame. This computational method is based on the selection of single images of objects and the formation of their rectangular area. Next, the offset is evaluated, and the selected single images of objects are normalized to calculate the typical form of the object image. Using the method makes it possible to highlight objects against the background of noise and reduce the number of false detections. It is recommended to apply the method only in the case when the frames have defects and "blurs" during the shooting, otherwise there will be unreasonable additional computational costs. The developed computational method was successfully tested in practice within the framework of the CoLiTec project and implemented in the intraframe processing unit of the Lemur software.

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