Alexander Gusev

New Trends in the Development of the Lunar Physical Libration Theory

A review of the modern state of the lunar libration theory is presented. A significant progress in the lunar investigation is achieved due to the simultaneous processing of results of the satellite Doppler tracing and of the lunar laser ranging. The data evidencing existence of a small iron core in the Moon are discussed. In this connection, the further development of the theory of rotation of the Moon presents the study of internal structure and dynamics of a lunar body. A model of a two-layer Moon can have a very advanced application to explain some observed phenomena and to be as a first approach in the modelling of internal processes determining the lunar rotation.

Spin rotation, Chandler wobble and free core nutation of isolated multi-layer pulsars

At present time there are investigations of precession and nutation for very different celestial multi-layer bodies: the Earth, Moon, planets of Solar system and pulsar). The long-periodic precession phenomenon was detected for few pulsars: PSR B1828–11, PSR B1557-50, PSR 2217+47, PSR 0531+21, PSR B0833–45, PSR B1642–03. Stairs, Lyne & Shemar (2000) have found that the arrival-time residuals from PSR B1828−11 vary periodically with a different periods. According to our model, the neutron star has the rigid crust (RC), the fluid outer core (FOC) and the solid inner core (SIC). The model explains generation of four modes in the rotation of the pulsar: two modes of Chandler wobble (CW, ICW) and two modes connecting with free core nutation (FCN, FICN). We are propose the explanation for all harmonics of time-of-arrival (TOA) pulses variations as precession of a neutron star owing to differential rotation of RC, FOC and crystal SIC of the pulsar PSR B1828–11: 250, 500, 1000 days. We used canonical method for interpretation TOA variations by Chandler Wobble (CW) and Free Core Nutation (FCN) of pulsar.

Gravitational Capture to Resonance Rotation of the Early Moon in General Relativity and Gravitation

The capture of the Moon represents a very unique event in the history of the solar system (Singer, 1968; Goldreich et al., 1975; Goldreich, 1966). The Moon formed separately in a heliocentrical orbit similar to the Earth’s and was later captured by the Earth. The capture of the Moon defines also a severe heating event where the Earth’s kinetic energy of rotation is largely dissipated by the mechanism of tidal friction.

Nonsingular Metric Elastic Universe

In the RTFD(Gusev (1986)) the conception of a Sakharov - Wheeler Metric Elasticity(SWME)(Sakharov (1967), Wheeler (1970)) had been worked out. On the basis of the exact solutions of Einstein equations and qualitative analysis RTFD the global evolution have been studied and the phase portraits of the early Universe is being constructed. An analysis of phase portraits show on the possibility description of spontaneous creation of Universe from an initial Minkowskian’s vacuum to an inflationary de Sitter space-time in the frame of phenomenological non-quantum theory (Guth (1991)). During the past decade, a radically new picture of cosmology has emerged. The present homogeneous expanding Universe would have stated out with a de Sitter phase. The purpose of this paper is to shown that the geometry-dynamical approach to the Einstein’s gravitation theory in the frame RTFD also is leaded to the nonsingular cosmological models (Brandenberger (1993)). Let us to propose that before the some moment of time the Universe is at the vacuum state and is described the geometry of Minkowskian’s space.