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This work focuses on the possibility of practical application of two approaches ? classic least square method (LSM) and Huber?s M-estimator (HME) method ? to the analysis of time series of celestial objects? measurements. Using those methods, the values of dynamic selenophysical parameters were produced from the processing of observations of Mosting A lunar crater in relation to the lunar limb. The reason for the use of the two approaches ? LSM and HME ? at observations processing is that LSM in some cases does no...

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...

Currently, particular attention is paid to the study of connection between geophysical phenomena and technogenic processes. At the same time, the structural parameters of the Earth?s internal structure and its core, change in natural characteristics of water basins as well as dynamics of oil and gas deposits are being investigated. This paper describes a new method for studying geophysical phenomena depending on the state of large water basins. With this purpose, we conducted a correlation analysis between astrome...

This work aims at the creation of digital selenographic satellite maps (DSSM) using fractal geometry and multi-parameter harmonic analysis. The observational data for DSSM were produced by the ?Clementine?, ?Kaguya? and ?LRO? space missions. An electronic database on altimetry measurements was built and they were brought into the single reference system by robust modeling. Based on the produced data and the method of multi-parameter harmonic analysis, we developed a digital selenographic satellite map covering the...

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 focused on study fractal structures on Venus is performed on the basis of observations taken by the ?Magellan? spacecraft (NASA). The equipment of this artificial satellite allowed scanning almost the entire surface of Venus using a radar with synthesized aperture of S-band (12 cm) and a microwave radiometer as well as investigating topography by the special radar ? altimeter. The uncertainties in some data produced by ?Magellan? were filled by the information that had been collected before ? in ?Venera ...

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...

Recently there has been a significant development of geodetic education and geodetic studies in the Kazan Federal University first of all due to the growth of start-up activity, the number of orbital grouping of national global navigation satellite system ?GLONASS? is markedly increased, which prompted the Russian space Agency to take the first steps which are necessary for the activating of use of this system for solving challenges of socio-economic development of Russia?s regions. Today, geodetic works in Kazan ...

This paper presents a new method of accounting the variations of the vertical due to fluctuations of water level in case of taking geodetic observations near the large reservoirs. The impact on latitude of observation and direct adjustment is estimated. The resulting correction caused by an anthropogenic interference is comparable with the adjustment effect of systematic lunar and solar tides. Accounting this effect may be useful for the solution of this higher geodesy problem and the development of high-quality p...

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 study is to determine the geocenter dynamics described by dynamic adaptive regression and the general laws of DORIS and GPS navigation systems. A spatial geocenter dynamics can be represented as coordinate and time series. Mathematical description of the time series allows for determination of systematic change in the geocenter dynamics. To improve the accuracy of modeling and forecasting of the geocenter dynamics and to identify the regular effects, the dynamic regression modeling approach is used...

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...

Since the global information networks are well developing and the amount of information is rapidly increasing, an automatization of the analytical data processing has become more urgent. In their combination a solid basis for the improvement of management and operation packages in any field of activity arises. It should be noted the initial assumptions of the regression analysis are always observed. However, discovering that the preconditions are violated is not sufficient. A specific software package containing p...

The study of the Earth's topographic models has been conducted on the basis of fractal analysis. The mean values of fractal dimension for the Earth's surface on longitudes and latitudes are obtained. It is well known that self-similarity is inherent to many natural objects and space systems; this is why they can be described with fractal dimension пїЅ quantitative measure of geometric complexity of a set (an object). Determining fractal dimensions of different objects allows studying not only their structure but p...

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...