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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...