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NASA NTRS1975

Simulation of the velocity diffusion of charged particles in turbulent magnetic fields

Numerical simulation experiments have been performed in order to study the velocity diffusion of charged particles in a static turbulent magnetic field. By following orbits of particles moving in a large ensemble of random magnetic field realizations with suitably-chosen statistical properties, a pitch-angle diffusion coefficient is derived. Results are presented for a variety of particle rigidities and r.m.s. random field strengths and a power spectrum typical of conditions found in interplanetary space.

Kaiser, T. B.↗

NASA NTRS1976

The interplanetary magnetic field and energetic electrons from Jupiter

The reported four-month 'season' for observation of Jovian electron events at AU is shown to be a plausible consequence of field-line random walk in the solar wind. Values of the field-line random-walk coefficient deduced earlier in connection with observations of solar protons, photospheric supergranulation, and the interplanetary magnetic-field power spectrum, lead to an approximate value for the spread of Jovian electrons at 1 AU, which corresponds to an approximate four-month duration of events. This model is consistent with a point source at Jupiter.

Jokipii, J. R.↗

NASA NTRS1976

Measurement accuracy of flow velocity via a digital-frequency-counter laser velocimeter processor

The laser velocimeter (LV) technique has so far been successfully applied to many flow situations to obtain mean velocity and turbulence level measurements. The paper deals with a unique LV system employing a digital frequency counter for measurements of turbulence spectra within the objectives of achieving higher accuracies and a wider range of velocities than were possible by previous analog systems. Systematic analysis of the effects of LV system errors in the accuracy of the turbulence power spectral measurements is performed and shown to agree reasonably with the experimental LV spectra results. Sufficient understanding of the accuracy and limitations of the digital frequency counter LV spectral measurement system is obtained. Among the major system errors encountered in a typical digital frequency counter LV processor, the truncation error is regarded as the most serious source of error. The quantizing step size defined as the ratio of Doppler frequency to processor clock frequency is an important parameter in determining the dynamic range of a turbulence power spectrum.

Wang, J. C. F.↗

NASA NTRS1976

Investigation of the effects of nonhomogeneous (or nonstationary) behavior on the spectra of atmospheric turbulence

A new series expansion of the instantaneous power spectrum is used that has for its first term the usual quasi-stationary spectrum approximation. The minimum duration of a burst of turbulence and the minimum rise time of an abrupt onset of turbulence that will not give rise to changes in the spectrum due to the nonstationary behavior are determined. A general criterion for envelope behavior that will not give rise to changes in the spectrum is also determined. Spectra computed from recorded turbulence time histories are shown to be consistent with the theoretical predictions.

Mark, W. D.↗

NASA NTRS1977

Noise reduction evaluation of grids in a supersonic air stream with application to Space Shuttle

Near field acoustic measurements were obtained for a model supersonic air jet perturbed by a screen. Noise reduction potential in the vicinity of the space shuttle vehicle during ground launch when the rocket exhaust flow is perturbed by a grid was determined. Both 10 and 12 mesh screens were utilized for this experiment, and each exhibited a noise reduction only at very low frequencies in the near field forward arc. A power spectrum analysis revealed that a modest reduction of from 3 to 5 decibels exists below a Strouhal number S sub t = 0.11. Above S sub t = 0.11 screen harmonics increased the observed sound pressure level. The favorable noise reductions obtained with screens for S sub t 0.11 may be of substantial interest for the space shuttle at ground launch.

Seiner, J. M.↗

NASA NTRS1976

A mathematical analysis of the theory of interplanetary scintillation in the weak scattering approximation

A simplified analytical technique is presented for modeling the interplanetary scintillation of radio sources of finite angular size with a power-law electron-density-fluctuation power spectrum. The simplification results from the representation of the scintillation spectrum in confluent hypergeometric functions. The approximations presented allow fast numerical evaluation of a spectrum for a weakly scattering but extended medium with less than 10% error over the entire spectrum. Parameters describing anisotropic electron irregularities as well as anisotropic source structure are included, and the dependence of the spectrum normalization on the scales of the medium is derived explicitly. The parametric description of the domains of convergence of the approximate expansions also provides a simple conceptualization of the relative contributions of the scattered radiation along the line of sight to the observed spectrum. This is particularly useful for sources of finite angular size. This technique is applied to previously published observations.

Mitchell, D. G.↗

NASA NTRS1977

Optimization of active control systems to suppress flutter and minimize turbulence response

A method for optimizing an active control system which will suppress flutter and minimize the response of a lifting surface to atmospheric turbulence is presented. A mathematical search method is developed which will find a control law which will cause an active control system to flutter at a specified freestream velocity, air density, and Mach number. With the flutter velocity of the system held constant, the control law is then modified in such a way that the peak output power spectral density function of the angular response of a lifting surface (as a result of atmospheric turbulence) is minimized for a specified flight velocity which is less than the flutter velocity. The von Karman generalized power spectrum for the transverse components of turbulence is used in an example problem to increase the flutter velocity and minimize the turbulence response of a simplified delta-wing model which has leading and trailing edge control surfaces.

Rudisill, C. S.↗

NASA NTRS1978

Simulation of turbulent wall pressure

A Monte Carlo procedure was developed to simulate turbulent boundary layer wall pressure fluctuations. The approach utilizes much of the newly available conditional sampling information to construct the required distribution functions. Various disturbance wave forms were examined, as well as the effect of frequency-dependent decay. Good agreement between the simulation and experimental data was achieved for root mean square pressure level, power spectrum, and space time correlation.

Ash, R. L.↗

NASA NTRS1977

Scintillation statistics measured in an earth-space-earth retroreflector link

Scintillation was measured in a vertical path from a ground-based laser transmitter to the Geos 3 satellite and back to a ground-based receiver telescope and, the experimental results were compared with analytical results presented in a companion paper (Bufton, 1977). The normalized variance, the probability density function and the power spectral density of scintillation were all measured. Moments of the satellite scintillation data in terms of normalized variance were lower than expected. The power spectrum analysis suggests that there were scintillation components at frequencies higher than the 250 Hz bandwidth available in the experiment.

Bufton, J. L.↗

NASA NTRS1978

An observational search for solar pulsations at periods from 7 to 70 minutes

Results are reported for measurements of the large-scale solar velocity field performed by comparing Doppler shifts from the disk center and limb with the aid of the magnetically insensitive Fe I line at 5123.730 A. Average power spectra are plotted, but no statistically significant periodicities are found at periods between 7 and 70 min. The sensitivities of the present observations and those of Hill et al. (1976) are compared, and the temperature change for an oscillation in the sun's atmosphere is calculated using the HSRA. It is concluded that the statistical significance and solar origin of the peaks in the SCLERA power spectrum are not well established and that the reality of the solar pulsations reported by Hill et al. is questionable.

Dittmer, P. H.↗

NASA NTRS1979

Advanced General Aviation Turbine Engine (GATE) study

The small engine technology requirements suitable for general aviation service in the 1987 to 1988 time frame were defined. The market analysis showed potential United States engines sales of 31,500 per year providing that the turbine engine sales price approaches current reciprocating engine prices. An optimum engine design was prepared for four categories of fixed wing aircraft and for rotary wing applications. A common core approach was derived from the optimum engines that maximizes engine commonality over the power spectrum with a projected price competitive with reciprocating piston engines. The advanced technology features reduced engine cost, approximately 50 percent compared with current technology.

Smith, R.↗

NASA NTRS1978

Photometric study of the X-ray pulsar 4U 1626-67

Results are reported for UBVR photometric observations of the optical candidate for the pulsating X-ray source 4U 1626-67. The data are found to be consistent with a constant V magnitude of approximately 19.00 and marginally consistent with constant B-V and U-B colors, but two averaged measures obtained about 2 hr apart suggest that the B-V and U-B colors are variable and that this variability may be entirely in U and B. Additional evidence for variability of the optical candidate is examined, and it is shown that the optical object is probably variable with a B amplitude of no more than about 0.5 mag and time scales as short as less than the order of 1 min. A power spectrum analysis reveals no significant peaks at or near the X-ray pulse period of 7.68 sec or its harmonics. It is concluded that although the optical data do not provide any additional evidence that 4U 1626-67 is a binary, a short-period binary system with the optical emission strongly dominated by an accretion disk is probably favored.

Grindlay, J. E.↗

NASA NTRS1978

Dynamics of the solar transition zone

Time-resolved profiles of the 1548-A C IV line arising from the solar transition region are analyzed in order to determine whether the 300-sec oscillations characteristic of the photosphere and chromosphere penetrate into the transition zone and to measure the rms amplitude of transition-zone disturbances as well as their dependence on solar activity. The rms velocity amplitude is used to set limits on the mechanical energy flux available for solar heating. A power-spectrum analysis indicates that acoustic waves appear to have been detected in the transition zone, that at least one case of a strong 200- to 300-sec oscillation was observed, but that strong periodicities are not found on the average in either the intensity or the velocity field. It is suggested that the rms velocity that may be attributed to directly observable wave motion is between 3 and 7 km/s, depending on whether the individual emission elements seen in rocket spectra are coherent or independent in phase.

Bruner, E. C., Jr.↗

NASA NTRS1978

Arecibo radar observations of Mars surface characteristics in the Northern Hemisphere

Mars surface characteristics at and near the Viking Chryse and Tritonis Lacus landing areas were determined by radio scatter using the 12.6-cm radar at the Arecibo Observatory during 1975-76. Interpretation of each power spectrum suggests rms surface tilts of 4 deg at the final A1WNW (47.9 deg W, 22.5 deg N) site, 5 deg near the original A1 site, and 6 deg between the two. At the back-up site (A2) surface-roughness estimates were about 4 deg. Striking changes in surface texture have been found near the eastern bases of Tharsis Montes and Albor Tholus, each volcanic feature marking the western boundary of very smooth surface units. The roughness sensed at 1- to 100-m scales by radar appears to be relatively independent of the surface units defined at large scale lengths by photogeologists. Radar properties thus provide an additional means by which planetary surfaces may be characterized.

Simpson, R. A.↗

NASA NTRS1979

A sunspot periodicity and its possible relation to solar rotation

A least-squares power-spectrum analysis of 122 years of Zurich daily sunspot numbers yields a statistically significant peak at a 12.0715 + or - 0.002 day period. This feature of the sunspot spectrum may be associated with the peak at 12.22 days (sidereal) which Dicke (1976) found in his oblateness data, and may be attributable to the sun's core if it rotates at either a 12.0715-day or a 24.1430-day period (synodic).

Knight, J. W.↗

NASA NTRS1979

Interplanetary phase scintillation and the search for very low frequency gravitational radiation

Observations of radio-wave phase scintillation are reported which used the Viking spacecraft having an earth-spacecraft link very similar to that which will be used in very low-frequency (VLF) gravitational-wave searches. The phase power-spectrum level varies by seven orders of magnitude as the sun-earth-spacecraft (elongation) angle changes from 1 to 175 deg. It is noteworthy that a broad minimum in the S-band (2.3 GHz) phase fluctuation occurs in the antisolar direction; the corresponding fractional frequency stability (square root Allan variance) is about 3 x 10 to the -14th for 1000-s integration times. A simultaneous two-frequency two-station observation indicates that the contribution to the phase fluctuation from the ionosphere is significant but dominated by the contribution from the interplanetary medium. Nondispersive tropospheric scintillation was not detected (upper limit to fractional frequency stability about 5 x 10 to the -14th). Evidently, even observations in the antisolar direction will require higher radio frequencies, phase scintillation calibration, and correlation techniques in the data processing, for detection of gravitational bursts at the anticipated strain amplitude levels of no more than 10 to the -15th.

Armstrong, J. W.↗

NASA NTRS1979

A spectral filter for ESMR's sidelobe errors

Fourier analysis was used to remove periodic errors from a series of NIMBUS-5 electronically scanned microwave radiometer brightness temperatures. The observations were all taken from the midnight orbits over fixed sites in the Australian grasslands. The angular dependence of the data indicates calibration errors consisted of broad sidelobes and some miscalibration as a function of beam position. Even though an angular recalibration curve cannot be derived from the available data, the systematic errors can be removed with a spectral filter. The 7 day cycle in the drift of the orbit of NIMBUS-5, coupled to the look-angle biases, produces an error pattern with peaks in its power spectrum at the weekly harmonics. About plus or minus 4 K of error is removed by simply blocking the variations near two- and three-cycles-per-week.

Chesters, D.↗

NASA NTRS1980

A sunspot periodicity and the solar rotation

A least squares power spectrum analysis of daily sunspot numbers for the last 122 years yielded a statistically significant peak at 12.0715 plus or minus .002 days period. This feature at 11.685 days (sidereal) of the sunspot spectrum is discussed in relation to the peak at 12.22 days (sidereal) which Dicke found in his oblateness data. The data is attributed to the Sun's core if the core rotates at either 12.0715 days or 24.1430 days period (synodic). It is suggested that spacecraft observations combined with correlative analysis of solar surface features between eastern and western hemispheres could further reveal a basic core periodicity. A Dicke type space oblateness experiment is discussed for providing better photospheric observations than a ground instrument to determine the core periodicity.

Knight, J. W.↗