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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 work focuses on the practical results of determining selenophysical parameters obtained using 2 different approaches to the problem of assessing parameters ? the classic Ordinary Least Squares (OLS) and the interference-resistant analysis (method of M-estimation). In this work geliometrical observations were obtained and analyzed using the method. It should be noted the modern robust methods of reducing observations allows for the elimination of wrong measurements that may distort the values of estimations wh...

The aim of this paper is to analyze magnetohydrodynamic (MHD) solar activity on the basis of modeling and predicting the Wolf number dynamics. This study is based on the use of adaptive regression modeling approach implemented in the software package ARDM (adaptive regression dynamic modeling). The preliminary data was investigated for the presence of trend stability with fractal analysis.Currently, not only the experts in the field of solar physics, climatologists, and researchers in many fields related to the is...

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 ...

The purpose of the present study is to apply the new methods of multi-parametric analysis to moonquakes. It should be noted such physical phenomena as moonquakes are some kinds of complex systems. As the works in which analysis of moonquakes observations is conducted have shown, lunar seismophysics is much more complex process than Earth's geophysics. This is why to study the physical nature of moonquakes and their parameters it is necessary to use methods of statistical physics and robust estimates. Currently, th...