Phenomenology of the Lense-Thirring effect in the Solar System

Recent years have seen increasing efforts to directly measure some aspects of the general relativistic gravitomagnetic interaction in several astronomical scenarios in the solar system. After briefly overviewing the concept of gravitomagnetism from a theoretical point of view, we review the performed or proposed attempts to detect the Lense-Thirring effect affecting the orbital motions of natural and artificial bodies in the gravitational fields of the Sun, Earth, Mars and Jupiter. In particular, we will focus on the evaluation of the impact of several sources of systematic uncertainties of dynamical origin to realistically elucidate the present and future perspectives in directly measuring such an elusive relativistic effect.Comment: LaTex, 51 pages, 14 figures, 22 tables. Invited review, to appear in Astrophysics and Space Science (ApSS). Some uncited references in the text now correctly quoted. One reference added. A footnote adde

Simulation of formation of dust fractal clusters as the basis of flocculent protoplanetesimals in Sunny protoplanetary cloud

Abstract: In this research, applied to the problem of formation of planetesimals in Sunny protoplanetary cloud, has been developed (considering the concept of fractal properties of dust clusters) evolutionary hydrodynamic model of the formation and growth of fluffy dust aggregates aerodisperse medium of laminar disk. In contrast to a number of classical researches in which the simulation was carried out as part of the 'ordinary' continuum, and often not taken into account multifractional dust component of the protoplanetary cloud and the fractal nature formed in the process of the evolution of dust clusters, it is proposed to consider a set of fluffy dust aggregates as a special type of continuum medium − a fractal medium for which there are points and areas not filled its particles. The hydrodynamic modeling of similar medium (that has non-integer mass dimensionality) is proposed to take place within the fractional integral model (its differential form) with the help of the fractional integrals, when its order is determined by dimensionality of disk medium.Note: Research direction:Mathematical modelling in actual problems of science and technic

Optical characteristics of the model aerosols of the Martian atmosphere

Abstract: The results of calculation full phase matrix and volume attenuation coefficients for model Martian atmosphere aerosols according to the Reference model MA-90 are presented. The dust and ice particles with and without absorption were considered.Note: Research direction:Mathematical modelling in actual problems of science and technic

To modeling parameters of the multi-component turbulence in free atmosphere on optical measurements fluctuation of an index refraction of air

Abstract: The work is devoted to some methodical presuppositions of creation representative prognostic of hydrodynamic model turbulence in free atmosphere of the Earth within the framework of the program global ozone monitoring by the occultation of stars (project Gomos). Closed system of hydrodynamic equations for a turbulent multi-component mixture and model balance equations for covariance of pulsating hydrodynamic parameters of medium suitable for the adequate description of average properties of middle atmosphere (and taking in to account multi-component and compressibility of a flow, processes heat-and mass transfer and chemical reactions) is considered. The scheme of closing of the first order, using linear determining relations for turbulent flows of a diffusion, heat and tensor Renolds of pressure is offered. On the basis of balance equations for covariance of pulsating meteorological parameters , recorded in locally-equilibrium case, one a possible ways of half-empirical modeling of coefficients of turbulent transfer in stratified atmosphere , enabling to receive the analytical formulas for them , is considered. Appearing in these formulas parameters of a turbulence (such as, external scale turbulence and rate of a dissipation of turbulent energy) is offered to simulate (at creation of a program complex of operative determination of the dynamic characteristics of atmosphere) with use optical experimental given on high-altitude distribution structural characteristic of an index refraction of air Cn²(z), atmospheres received at simultaneous sounding by light from a star.Note: Research direction:Mathematical modelling in actual problems of science and technic

On Earth ozonosphere space monitoring by stars occultation

Abstract: The spectral and space inverse problems are considered for retrieval of gas and aerosol components by star absorption spectra measurements when the star immerses in atmosphere. Refraction effects are described in spherically homogeneous and non homogeneous atmosphere. Review of some aerosol properties is presented for Earth stratosphere and mesosphere. Possibility of stratospheric turbulence parameters determination is shown (in particular, turbulence transfer coefficient) by structural characteristic measurements of air refraction index on remote sensing atmosphere. Description of methods theoretical modeling of distribution stratospheric ozone and other minor species is given. Earth ozonosphere numerical modeling results are presented in frame of space one –dimensional model with account of diurnal variation and in stationary case with averaged chemical sources and sinks.Note: Research direction:Mathematical modelling in actual problems of science and technic