The construction of gravitational field models on the basis of satellite measurements of gravitational potential derivatives

2014 ◽  
Vol 52 (2) ◽  
pp. 166-174 ◽  
Author(s):  
M. S. Petrovskaya ◽  
A. N. Vershkov
Author(s):  
Jin Tong Wang ◽  
Jiangdi Fan ◽  
Aaron X. Kan

It has been well known that there is a redshift of photon frequency due to the gravitational potential. Scott et al. [Can. J. Phys. 44 (1966) 1639, https://doi.org/10.1139/p66-137 ] pointed out that general relativity theory predicts the gravitational redshift. However, using the quantum mechanics theory related to the photon Hamiltonian and photon Schrodinger equation, we calculate the redshift due to the gravitational potential. The result is exactly the same as that from the general relativity theory.


2015 ◽  
Vol 3 (1) ◽  
pp. 24
Author(s):  
Hasmukh K. Tank

<p>Accepting Einstein’s General Relativity Theory, that the changes in the gravitational field can propagate at the speed of light, it is proposed here that: before an electron in an atom emits a photon, the energy (<em>h f<sub>0</sub></em>) of the photon was a part of total energy of the atom; contributing to establish the gravitational-field around the atom. As soon as an electron in that atom emits a photon of energy <em>h f<sub>0</sub></em>, and the photon starts moving away from the atom, the gravitational-field around the atom partly reduces, proportional to the photon’s energy <em>h f<sub>0</sub></em>, and this wave of ‘reduced gravitational field’ propagates radially-outwards at the speed of light. And a part of energy of the photon gets spent in “filling” the ‘gravitational potential-well’ produced by its energy, when it was a part of energy of the atom. From the derivation presented here we find that the energy spent by the photon to “fill” the ‘gravitational potential-well’, during its inter-galactic journey manifests as the ‘cosmological red-shift’. And the so called ‘total-mass-of-the-universe'’ and ‘radius-of-the-universe'’ are just mathematically-equivalent mass and distance arising while converting electrostatic potential-energy into gravitational potential-energy. This is the reason why we find the large-number-coincidence (LNC). And since there is no expansion of the universe, there is no ‘cosmic coincidence’, that why only in this epoch we find the ‘large-number-coincidence’!</p>


2011 ◽  
Vol 89 (6) ◽  
pp. 689-695 ◽  
Author(s):  
Sumanta Chakraborty ◽  
Subenoy Chakraborty

The trajectory of a test particle or a photon around a general spherical black hole is studied, and bending of the light trajectory is investigated. A pseudo-Newtonian gravitational potential describing the gravitational field of the black hole is determined and is compared with the related effective potential for test particle motion. As an example, results are presented for a Reissner–Nordström black hole.


2021 ◽  
Author(s):  
I. O. Skakun ◽  
V. V. Mitrikas ◽  
V. V. Ianishevskii

AbstractThe paper reviews models of tidal and non-tidal variations of the Earth's gravitational field. Proposing an algorithm for the estimation of the Stokes coefficients based on inter-satellite measurements of low-orbit spacecrafts. By processing measurements of the GRACE mission, we obtained experimental estimates of gravity field monthly variations. The analysis of these values was carried out by calculating the change in the equivalent water height for a given area.


Author(s):  
И.А. Керимов

В статье рассмотрен метод трансформации гравитационного поля (определение различных компонент потенциала силы тяжести) на аппроксимационной основе. Разработанный автором метод и компьютерные технологии F-аппроксимации позволяют вычислять горизонтальные и вертикальные  производные гравитационного потенциала для исходных данных, заданных как на регулярной, так и на нерегулярной сети. Метод апробирован на модельных и фактических гравиметрических данных This article considers an approximate method of the gravitational field transformation (the determination of different components of the gravity potential). The method developed by the author and computer technologies of the F-approximation permit the calculation of horizontal and vertical derivatives of the gravitational potential for basic data defined both on a regular and on an irregular grid. The method is tested on model and actual gravimetric data.


2016 ◽  
Vol 8 (4) ◽  
pp. 58
Author(s):  
David Zareski

In previous papers we generalized the ether waves associated to photons, to waves generally denoted  , associated to Par(m,e)s, (particles of mass m and electric charge e), and demonstrated that a Par(m,e)s is a superposition   of such waves that forms a small globule moving with the velocity   of this  . That, at a point near to a moving  , the ether velocity  , i.e., the magnetic field H, is of the same form as that of a point of a rotating solid. This is the spin of the Par(m,e)s, in particular, of the electron. Then, we considered the case where e=0 and showed that the perturbation caused by the motion of a Par(m,e)s is also propagated in the ether, and is a propagating gravitational field such that the Newton approximation (NA) is a tensor  Guobtained by applying the Lorenz transformation for Vm,o on the NA of the static gravitational potential of forces Gu,s. It appeared that Gu is also of the form of a Lienard-Wiechert potential tensor Au created by an electric charge.<br />In the present paper, we generalized the above results regarding the spin by showing that the ether elasticity theory implies also that like the electron, the massive neutral particle possesses a spin but much smaller than that of the electron, and that the photon can possess also a spin, when for example it is circularly polarized. In fact, we show that the spin associated to a particle is a vortex in ether which in closed trajectories will take only quantized values.<br /><br />


1995 ◽  
Vol 10 (12) ◽  
pp. 1821-1844
Author(s):  
CHRISTOPHE M. MASSACAND

We compute the energy density and pressures due to the quantum production of particles of a scalar field. This scalar field propagates in the external gravitational field of a (3+1)-dimensional, spherically symmetric, static geometry with flat spatial sections. We assume that the gravitational potential is weak, and we work to the first order in the strength of this potential. We consider only the l=0 sector of the scalar field. Our method for computing the energy density is based on the gauge-invariant definition of particles and normal ordering with respect to the energy measurable on a hypersurface with no extrinsic curvature. The initial state of the quantum field is the gauge-invariant vacuum on one of these hypersurfaces. Our computations are finite step by step. For the pressures we use the covariant conservation of Tμν and its four-dimensional trace. We apply our results to the gravitational potential of a homogeneous spherical body. At late times, i.e. when all switch-on effects are far away from the body, the result is that a static, gravitational vacuum polarization cloud of energy and pressure is formed inside and outside the body.


Author(s):  
Klaus Kirch ◽  
Kim Siang Khaw

The debate about how antimatter or different antimatter systems behave gravitationally will be ultimately decided by experiments measuring directly the acceleration of various antimatter probes in the gravitational field of the Earth or perhaps redshift effects in antimatter atoms caused by the annual variation of the Sun's gravitational potential at the location of the Earth. Muonium atoms may be used to probe the gravitational interaction of leptonic, second generation antimatter. We discuss the progress of our work towards enabling such experiments with muonium.


1966 ◽  
Vol 44 (7) ◽  
pp. 1639-1648 ◽  
Author(s):  
J. C. W. Scott

In a previous paper, "The Gravitokinetic Field and the Orbit of Mercury," a new theory of gravitation was introduced, according to which space–time is always flat and the gravitational field is described by equations of Maxwellian form. In this paper it is shown that the theory correctly predicts the gravitational red shift and the gravitational deflection of a light ray. The interaction of photons with a gravitational field follows from the basic premises of quantum theory, that photon frequency is proportional to its energy and that photon wavelength is inversely proportional to its momentum. The photon velocity and proper mass depend on the gravitational potential, and the deflection of a light ray is due to gravitational refraction. The validity of the antisymmetric field equations for sources of variable rest mass is due to the divergence of the group velocity from the dynamical velocity.


Sign in / Sign up

Export Citation Format

Share Document