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This work considers the study of libration dynamics of the planets? moons. To analysis such processes, it is necessary to use methods for investigating complex systems, as an influence from neighboring celestial bodies on spin-orbital motion of a moon should be taken into account. This fully applies to the Moon?s rotation about its axis. The construction of modern theories of the physical libration of the Moon (PLM) is based on gravimetric, seismic, satellite observations, and lunar laser ranging, which in its tur...

In this work, the physical parameters of near Earth objects (NEO) are studied. The search for parent bodies of low-activity small meteor showers ? k-Cygnids, ?-Cancrids, and Virginids are performed among asteroids that could be faded comets. For k-Cygnids by all the catalogues of meteor orbits 2 asteroids are selected ? 153311 2001MG1, 385343 2002LV, whose orbits provide from 90% to 100% compliance with meteoroids? orbits of a shower. The 2012LL9 is only selected by 3 catalogues of meteor orbits. By catalogue of A...

This work focuses on the creation of a selenocentric satellite simulation navigation system (SSSNS) using a set of reference objects on the lunar surface. The latter is based on the data from the modern space missions ?LRO?, ?Clementine?, ?GRAIL? (all ? NASA, USA), ?SELENE? (JAXA, Japan), and ?SMART-1? (European Space Agency). The SSSNS was created to transform measurements taken from in-orbit satellite into the selenocentric inertial reference system. The measurements should be taken by on-board altimeter and las...

This work focuses on the use of projective geometry methods to determine star positions produced on the basis of positional observations. As is known, projective geometry studies invariant projective transformations. The main feature of projective geometry is the principle of duality, which adds elegant symmetry to many designs. While the properties of the figures that Euclidean geometry deals with are metric, but there are figures that can be converted into one another by movement while maintaining the metric pro...

This paper focuses on the creation of accurate methods for analyzing star catalogues. The method is based on the multifactorial comparison between coordinates and proper motion from the catalogs studied and the Hipparcos Celestial Reference Frame (HCRF). The HCRF system has been considered the astronomical standard by IAU. Therefore, in this paper HCRF is used for assessing the accuracy of modern star catalogues. The method allows the use of different catalogue epochs at the standard equinox. The stellar digital c...

The aim of the present work is to develop a fractal method for space maps analysis. Although there are accurate theories of lunar motion in the dynamic coordinate system based on lunar laser ranging and space measurements with an accuracy up to multiarcseconds, analysis of various models of the lunar figure is a complicated problem. The reason for it is that the determination of a reference system for coordinate data and assessing its authenticity are difficult. In order to solve the problem, a comparative method,...

The aim of the present paper is to give a brief review of results of computer simulating observations of the lunar rotation from the lunar surface. The simulation of physical libration of the Moon using the lunar telescope was performed on the basis of multiparametric analysis. High expectations in terms of obtaining accurate data on physical libration of the Moon are linked with SELENE Japanese project. The project implies an installation of the optical telescope at one of the Poles of the Moon. The observation o...

The present paper focuses on describing the method of bringing dynamic space images of various celestial objects to the uniform reference system. This approach is designed to analyze coordinate and time parameters of cosmic bodies in various phase spaces.Based on this method, images of the Moon and stellar areas obtained with CCDmatrixes were studied. As a result, reducing the images to the single system achieved the accuracy between 0.05 and 0.11 arc seconds by declination and between 0.04 and 0.13 arc seconds by...

Numerous space agencies and powers have announced their plans on lunar exploration for the next years. The main purposes are preparation and creation of long-term scientific, technological, experimental, and industrial bases on the near side of the Moon and in the areas of the lunar poles for conducting scientific experiments and investigating lunar bowels. The American space agency (NASA) has published the most detailed for today map of the lunar South Pole. The new data has been collected by the пїЅLunar Reconna...

The aim of this article is to study astronomical refraction anomalies. Back in 1925 Grachev and Banahevich found systematic errors in meridian observations depending on zenithal distance. Grachev suggested that these refraction anomalies arise from the inclination of the Earth's surface to the South. The airstratas of the same density were considered as parallel to the Earth's surface. But the analysis of latitude observations from the Bamberg and ZTL-180 telescopes showed there were significant systematic errors ...