A complex vectorial formalism in general relativity.
Complex vectorial formalism in general relativity, discussing Riemann connection related to representation of Lorentz group by three- dimensional linear space
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Complex vectorial formalism in general relativity, discussing Riemann connection related to representation of Lorentz group by three- dimensional linear space
Evaluating accuracy of substitute term in Einstein equation, noting inconsistency with zero and second law of thermodynamics
Parametrization of reduced problem of stationary axially symmetric gravity fields
Homogeneous solutions of Einstein-Lichnerowicz equations for electrically charged fluid with infinite conductivity universes
Particle momentum distributions derived from relativistic quantum statistical mechanics
Computer programs for calculating curvature tensors and motion equations
Models of spherically symmetric nonstatic processes, including relativistic collapse to Schwarzschild sphere, constructed by space-time metrics
Kerr metric as Einstein field equations solution, considering Synge g method as possible Kerr metric source
Lunar orbit precession due to quadrupole moment of sun arising from solar oblateness
Classes of instability behavior are reviewed and related to theory and to aspects of the combustion process. Experimental methods for small-scale testing of stability characteristics of propellants are described and typical results are presented.
Molecular theory, quantum mechanics, transport properties, perturbation theory, and related research
Comparison of analytical relative motion theory with numerical solution for equations of planar motion for two satellites of oblate planet
A summary of the probable interplanetary missions for the 1970's is presented, which may prove useful in testing the general theory of relativity. Mission characteristics are discussed, as well as instrumentation. This last includes a low-level accelerometer and S-/X-band transponders and antennas.
Motion of a space probe about a spherical center of attraction is considered, applying the general theory of relativity. Motion of a probe under the influence of the sun's oblateness is also discussed. Estimates of beta, gamma, and J20 using solar probe motion are presented. It is concluded that such measurements are possible if the unknown long-period perturbing acceleration is of the order of 10 to the -11th or -12th power m/sec. sq.
Direct measurements of the effects of gravitation on time are discussed. Using the earth's gravity these measurements can now be made to 20 parts per million. At present, there is a 1% verification of the equivalence principle for clocks made over a 75-ft vertical distance by use of Mossbauer gamma ray emission and absorption. Measurements made to greater accuracy and spanning distances where appreciable curvature of the metric of spacetime will help verify the equivalence principle, a postulate upon which Einstein developed his General Theory of Relativity.
All mineral detectors exposed on Apollo 16 had high surface track densities probably produced by a solar flare that occurred during the mission. The heavy ions followed a power law spectrum with exponent approximately 3 down to approximately 200 KeV/nucleon. The abundance of low-energy particle tracks observed in this flare may explain the high track densities observed in lunar dust grains. Pristine heavy-particle tracks in feldspar give long tracks. Shallow pits similar to those expected from extremely heavy solar wind ions were observed in about the expected number. Initial results give a low apparent value of neutron albedo relative to theory.
Report of a new upper limit on interstellar boron in the direction of zeta Oph, obtained by making 25 scans across the B II resonance line at 1362.461 A with the Copernicus satellite. A B/H of about 7.6 times 10 to the negative 11th power or less was found, implying that boron in the interstellar gas is depleted by a factor of about 60 relative to boron in carbonaceous chondrites. These results are related to theories of the formation of grains, and the flux of cosmic rays.-
Formulation procedures and the associated computer program for finite element thin shell instability analysis are discussed. Data cover: (1) formulation of basic element relationships, (2) construction of solution algorithms on both the conceptual and algorithmic levels, and (3) conduction of numerical analyses to verify the accuracy and efficiency of the theory and related programs therein are described.