Global existence of spin structures for gravitational fields.
Spin structure motion for gravitational field in general relativity, showing conditions for global existence
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Spin structure motion for gravitational field in general relativity, showing conditions for global existence
The gravitational potential of a disk is given, as is the gravitational field at a point in space. It is pointed out that formulas for a ring can be obtained as the difference between the results presented here for two different values of the disk radius. Results are obtained in terms of elliptic integrals and it is shown how these functions can be computed efficiently. Formulas necessary for the computation of partial derivatives are also presented.
Orbits and gravitational fields of Mars and Venus, and orbits of Martian natural satellites
Study of blood circulation of brain under modified gravitational field
A metastable state relaxation equation for a physical system placed into a gravitational field is constructed for non-critical supersaturated solutions which arc in the immediate neighborhood of the coexistence line. Solutions of this equation are obtained in two different regimes: stationary and dynamic. The sedimentation time which can be defined as the time of the subcritical solute cluster redistribution corresponding to the final steady state in the gravitational field is found. The formation of the concentration gradient is proved analytically and its expression through the model parameters is obtained. The following analysis gives the expression for the sedimentation time which does not depend on the column height. The law of the concentration change with respect to the column height is also found and analyzed.
Monthly mean gravitational field parameters (denoted here as C(sub even)) that represent linear combinations of the primarily even degree zonal spherical harmonic coefficients of the Earth's gravitational field have been recovered using LAGEOS I data and are compared with those derived from gridded global surface pressure data of the National meteorological center (NMC) spanning 1983-1992. The effect of equilibrium ocean tides and surface water variations are also considered. Atmospheric pressure and surface water fluctuations are shown to be the dominant cause of observed annual C(sub even) variations. Closure with observations is seen at the 1sigma level when atmospheric pressure, ocean tide and surface water effects are include. Equilibrium ocean tides are shown to be the main source of excitation at the semiannual period with closure at the 1sigma level seen when both atmospheric pressure and ocean tide effects are included. The inverted barometer (IB) case is shown to give the best agreement with the observation series. The potential of the observed C(sub even) variations for monitoring mass variations in the polar regions of the Earth and the effect of the land-ocean mask in the IB calculation are discussed.
Geometric structure of earth gravitational field from satellite measurements
Satellite orbit perturbation analysis for lunar gravitational field determination using von Zeipel transformation
Tesseral harmonics of Earth gravitational field camera tracking of five satellites
We consider the combustion, in a gravitational field, of a heterogeneous powder mixture compressed into a solid sample, in which the high temperature ahead of the reaction zone destroys the solid, due, e.g. to melting of some of components of the mixture. Thus, a suspension is formed, consisting of a liquid bath containing solid or liquid particles. Processes such as heat and mass transfer as well as chemical reactions in the suspension determine the structure of the combustion wave and its propagation velocity. Under the influence of gravitational forces there is the possibility of relative motion of the liquid and solid. Previous theoretical analyses considered the rate of beat transfer between the solid and liquid phases to be sufficiently large that their two distinct temperatures rapidly equilibrated to a single temperature. In addition to this case, we also consider the case when the rate of heat transfer is not so large and the model involves the separate temperatures of the solid and liquid phases. We find that multiplicity of traveling wave structures is possible. In particular, in addition to a low velocity structure, which is essentially the same as that obtained from the one temperature description, we find a high velocity structure, which does not exist in the one temperature description, but rather depends on the fact that the solid and fluid temperatures differ from each other. Both structures can exist for the same parameter values in a given range. We describe the dependence of the combustion characteristics of the two structures on gravitational forces and other factors. In particular, we compare the characteristics in gravity and microgravity environments.
Error analysis of weighted least squares method to determine lunar gravitational field
Laser ranging measurements to single satellite are sensitive to the Earth's gravitational field and its temporal variations. Using 13 years (1980-1992) of LAGEOS I laser ranging data, we have recovered monthly mean linear combinations of even and odd degree zonal spherical harmonic coefficients of the Earth's gravitational field.
Satellite observation of longitudinal variations of the gravitational field
Altered gravitational field effects on frog eggs centrifuged under various conditions after fertilization, noting time dependence of induced abnormalities
Gravitational fields and atmospheric pressure effects on soils subjected to static and dynamic loading, using aircraft parabolic gravity simulation
Lunar gravitational field obtained from Lunar Orbiter tracking data, with gravity potential as spherical harmonics series and lunar gravitational constant determined
Lunar gravitational field obtained from Lunar Orbiter tracking data, with gravity potential as spherical harmonics series and lunar gravitational constant determined
Simultaneous determinations of tesseral harmonic coefficients of gravitational field, ground station coordinates, and orbital elements by satellite photographic tracking