Further examples of ''Machian'' effects of rotating bodies in general relativity
Machian effects of axisymmetric stationary rotating bodies in general relativity
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Machian effects of axisymmetric stationary rotating bodies in general relativity
Earth to planet radar signal time delay in general relativity expressed in relativistic spherical polar coordinates of earth and planet
Binding energy and stability of spherically symmetric masses in general relativity
Field equations for metric of stationary rotating bodies in general relativity
The arrival times of the pulses from each pulsar are measured by a cesium clock. The observations are all made at a frequency of 2388 MHz (12.5 cm wavelength) on a 26 m dish antenna. The effect of interstellar charged particles is a random one that increases the noise level on the arrival time measurements. The variation in clock rate is shown consisting of two effects: the time dilation effect of special relativity and the red shift effect of general relativity.
It is shown that if the Hamiltonian constraint of general relativity is imposed as a restriction on the Hamilton principal functional in the classical theory, or on the state functional in the quantum theory, then the momentum constraints are automatically satisfied. This result holds both for closed and open spaces and it means that the full content of the theory is summarized by a single functional equation of the Tomonaga-Schwinger type.
Schiff gyroscope experiment as test of Brans- Dicke scalar tensor general relativity theory, deriving expression for gyroscope momentum precession
According to general relativity, the calculated rate of motion of lunar perigee should include a contribution of 19.2 msec/yr from geodetic precession. It is shown that existing analyses of lunar-laser-ranging data confirm the general-relativistic rate for geodetic precession with respect to the planetary dynamical frame. In addition, the comparison of earth-rotation results from lunar laser ranging and from VLBI shows that the relative drift of the planetary dynamical frame and the extragalactic VLBI reference frame is small. The estimated accuracy is about 10 percent.
Perturbation analysis of the general theory of relativity and development of variations in the two-body keplerian orbital elements
Perturbation analysis of the general theory of relativity and development of variations in the two-body keplarian orbital elements /see accession no. a63-15324, issue no. 11/
Gravitation wave radiation rate from binary stars, using Brans-Dicke general relativity theory
Interesting new tests of general relativity could be performed in earth orbit using a sensitive superconducting gravity gradiometer under development. Two such experiments are discussed here: a null test of the tracelessness of the Riemann tensor and detection of the Lense-Thirring term in the earth's gravity field. The gravity gradient signals in various spacecraft orientations are derived, and dominant error sources in each experimental setting are discussed. The instrument, spacecraft, and orbit requirements imposed by the experiments are derived.
General relativistic gravitational red shift effect on frequency transmitted from satellite orbits, noting possibility of measurement
Derivability of cosmological equations from first law of thermodynamics and hydrodynamics equations, without using general relativity
Variational approach to structure of rotating polytrope with symmetry about axis of rotation in postNewtonian approximation of general relativity
The potential of a proposed spacecraft mission, called Starprobe, for testing general relativity and providing information on the interior structure and dynamics of the sun is investigated. Parametric, gravitational perturbation terms are derived which represent relativistic effects and effects due to spatial and temporal variations in the solar potential at a given radial distance. A covariance analysis based on Kalman filtering theory predicts the accuracies with which the free parameters in the perturbation terms can be estimated with radio metric tracking data through the process of trajectory reconstruction. It is concluded that Starprobe can contribute significant information on both the nature of gravitation and the structure and dynamics of the solar interior.
Time delay, red shift, equivalence principle, light deflection and perihelion motion tests of general relativity with Jupiter probe
Integral containing Heaviside and Dirac delta function in integrand with minus and plus infinity limits, computing value using thin spherical shells in general relativity