Stochastic Correlation Models for the Motion of the Pole of the Deformable Earth

In this paper we develop an unconventional approach to investigations of possible stochastic phenomena in the rotational motions of celestial bodies. The approach is based on special equations of the rotational motion, which represent a three-dimensional nonlinear system of differential equations with random parameters.     

Fast measurements of parameters of the Solar Wind using the BMSW instrument

Design of the plasma spectrometer BMSW (Fast Monitor of the Solar Wind, possessing high temporal resolution) is described in the paper, as well as its characteristics and modes of operation. Some examples of measurements of various properties of the solar wind, made with this instrument installed onboard the high-apogee satellite Spektr-R, are presented.     

First results of the growing of PbTe single crystals under microgravity conditions

Two sublimation experiments with PbTe were performed at 850°C and 750°C under microgravity conditions during the “Salyut-6”-“Soyuz-31” mission in 1978. The sublimation took place on the (100)-face of a PbTe crystal. The condensate grown at 850°C shows in the upper part the formation of a pyramidal habit. The bulk consists of parallel growth colums with [100]-boundary faces. The charge carrier concentration of the electrons (N=1,5·10¹⁹ cm^?3) is higher than the homogeniety limit for 800°C should permit. This is in contrast to the result obtained on the PbTe crystal of the parallel experiment on the earth. At 750°C a laminated condensate is grown with a low growth rate. The microphotograph of the substrate shows the beginning whisker formation according to the VLS-mechanism.     

A Celestial Mechanics Model of Oscillations of the Poles of a Deformable Earth

The problem of Chandler motion of the Earth's poles is studied in the context of the model of a viscoelastic body. The Earth-Moon system is considered as a binary planet rotating around their barycenter. Numerical values of the period and amplitudes of oscillations of the poles are obtained by estimating the elastic deformation of the Earth and the variation of its inertia tensor, and they agree well with observational data. An evolution model of the Earth-Moon-Sun system is constructed by taking into account tidal forces of dissipation character. By means of the method of averaging, the qualitative properties of motion on asymptotically large intervals of time (comparable and essentially longer than the period of precession of the Earth's axis) are established and commented on.     

Amplitude—frequency analysis of Chandler oscillations of the Earth’s pole

An approximate nonlinear spectral-correlation model of fluctuations of the amplitude—frequency characteristics of the Chandler self-excited oscillations of the Earth’s pole is considered. The sensitivity of the model parameters to the asymmetry and anisotropy of fluctuation-dissipative moments of forces and to the effect of harmonic gravitation-tidal moments of forces is studied at Chandler frequency and frequencies close to it. The results of analytical and statistical modeling of the stability of the amplitude—frequency characteristics are presented. The influence of fluctuation disturbances of the white noise type on spectral-correlation characteristics of the oscillations is investigated.