Some Aspects of NASTRAN Solution Accuracy
Accuracy, adequacy, and limitations of NASTRAN computer program static load structural analysis solutions
Haggenmacher, G. W.↗
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Encounter trajectory accuracy for a 1971 Mars orbiter mission
Mars 1971 orbiter mission, investigating orbit determination accuracy during approach phase
Born, G. H.↗
The effect of multipath reflections on spaceborne interferometer accuracy
Satellite radio interferometer multipath reflections effect on accuracy
Muehldorf, E. I.↗
High accuracy precession measurement with an autometric gyro
High accuracy angular precession measurements with autometric gyro for satellite relativity tests, using optical system with reticle coordinates
Frisch, D. H.↗
A technique for determining accuracy requirements for digital controller coefficients
Accuracy requirements determination method for digital controller coefficients, discussing bits needed
Johnson, J. C.↗
The automation of stellar proper motion measurement - Method and measurement accuracies
Stellar proper motion measurement by densitometer automatic scanning of star plates pairs, assessing accuracy
Newcomb, J. S.↗
An analysis of approach navigation accuracy and guidance requirements for the grand tour mission to the outer planets
The navigation and guidance process for the Jupiter, Saturn and Uranus planetary encounter phases of the 1977 Grand Tour interior mission was simulated. Reference approach navigation accuracies were defined and the relative information content of the various observation types were evaluated. Reference encounter guidance requirements were defined, sensitivities to assumed simulation model parameters were determined and the adequacy of the linear estimation theory was assessed. A linear sequential estimator was used to provide an estimate of the augmented state vector, consisting of the six state variables of position and velocity plus the three components of a planet position bias. The guidance process was simulated using a nonspherical model of the execution errors. Computation algorithms which simulate the navigation and guidance process were derived from theory and implemented into two research-oriented computer programs, written in FORTRAN.
Jones, D. W.↗
The effects of random accelerations on estimation accuracy with applications to the Mariner 1969 relativity experiment
A simple point of view is presented for establishing the relationship between a general modeling error and estimation accuracy. Tentative models are given for the random, nongravitational forces thought likely to affect the Mariner 6 and 7 spacecraft. The navigation data from these spacecraft were used to determine the relativity parameter Gamma. The effect that random accelerations have on the classical least squares filter, which assumes the accelerations do not exist, is calculated, and it is demonstrated that their presence seriously affects the estimates, particularly when an extended data arc is employed. Finally, some preliminary exploration using sequential-type filters, which attempt to model and thus ameliorate the effects of these same accelerations, is reported.
Curkendall, D. W.↗
The effects of tracking station coordinate uncertainties on GEOS-2 orbital accuracy
Laser and minitrack observational data from GEOS-2 collected during the period April 23, 1971 to May 1971, have been used for the purpose of assessing the influence of tracking station location on the accuracy of orbit determination. These data were processed using a unified set of coordinates for the tracking station locations. Concurrently, these data were processed using nonunified station locations referred to a variety of geodetic datums. The resultant orbits based on the two different sets of station locations were compared and relative differences in the position of the satellite were determined. Differences between the two groups of orbits fitted over four-day data spans ranged from 250 meters to 500 meters for orbits derived from laser data only. For orbits observed from Minitrack data alone the relative differences in GEOS-2 spacecraft position ranged from 50 meters to 190 meters. Utilizing the laser data alone in each arc, definitive orbits were computed using the unified and nonunified station location coordinates. The differences in the satellite position in the overlap region when using the unified laser station coordinates ranged from 25 meters to 150 meters, whereas when using the nonunified laser station coordinates the differences in position ranges from 180 to 650 meters.
Glazer, J.↗
Numerical check on the accuracy of spherical-wave expansions.
A simple and sensitive test for evaluating the numerical accuracy of a spherical-wave expansion is presented. The basic idea is to compare two different expansions of the same electromagnetic field, computed with respect to different coordinate origins. The use of the technique is illustrated by an example based on the experimental pattern of a horn antenna.
Ludwig, A. C.↗
The elusive tradeoff - Speed vs accuracy in visual discrimination tasks.
Explicit payoffs were used to control pressures for speed and accuracy in experiments seeking tradeoffs for difficult visual discrimination tasks. The experiments involved stimuli on a cathode ray tube display controlled by a PDP-1 computer, with the subjects performing increasingly complex discrimination tasks and their earnings increasing with their performance. Models for discrimination under time pressure are proposed on the basis of the results.
Swensson, R. G.↗
An analysis of the accuracy of a parameter optimization
The numerical operations involved in a currently used optimization technique are discussed and analyzed with special attention to the numerical accuracy. Alternative methods for deriving linear system transfer functions, finding the relationships between the transfer function coefficients and the design parameters, and solving a matrix equation are presented for more accurate and cost effective solutions.
Baram, Y.↗
LP-search and its use in analysis of the accuracy of control systems with acoustical models
The LP-search is proposed as an analog of the Monte Carlo method for finding values in nonlinear statistical systems. It is concluded that: To attain the required accuracy in solution to the problem of control for a statistical system in the LP-search, a considerably smaller number of tests is required than in the Monte Carlo method. The LP-search allows the possibility of multiple repetitions of tests under identical conditions and observability of the output variables of the system.
Sergeyev, V. I.↗
Accuracy analysis of the ephemerides of the Galilean satellites
Known discrepancies between Sampson's Theory and observations of the Galilean satellites produce in plane errors of about 1200 km. Since the mean longitude is responsible for most of the discrepancy a simple time correction may be used to significantly reduce these errors. An analysis of the time corrections derived for Sampson's Theory, concludes that the dominant error in the mean longitudes results from Sampson's definition of time, which was determined by the observations which he used in constructing the theory. Imposition of the libration constraint results in changes to the time corrections which are less than the standard deviation of those quantities. The individual eclipse observational errors are shown to be proportional to the square root of the period. With improved star catalogs, the attainable accuracy of the ephemerides of the Galilean satellites is about 100 km from photographic plates versus about 200 km for eclipse observations.-
Peters, C. F.↗
On the accuracy of Whitham's method
The steady flow of an ideal gas past a conical body is studied by the method of matched asymptotic expansions and by Whitham's method in order to assess the accuracy of the latter. It is found that while Whitham's method does not yield a correct asymptotic representation of the perturbation field to second order in regions where the flow ahead of the Mach cone of the apex is disturbed, it does correctly predict the changes of the second-order perturbation quantities across a shock (the first-order shock strength). The results of the analysis are illustrated by a special case of a flat, rectangular plate at incidence.
Zahalak, G. I.↗
The modified equation approach to the stability and accuracy analysis of finite-difference methods
The stability and accuracy of finite-difference approximations to simple linear partial differential equations are analyzed by studying the modified partial differential equation. Aside from round-off error, the modified equation represents the actual partial differential equation solved when a numerical solution is computed using a finite-difference equation. The modified equation is derived by first expanding each term of a difference scheme in a Taylor series and then eliminating time derivatives higher than first order by certain algebraic manipulations. The connection between 'heuristic' stability theory based on the modified equation approach and the von Neumann (Fourier) method is established. In addition to the determination of necessary and sufficient conditions for computational stability, a truncated version of the modified equation can be used to gain insight into the nature of both dissipative and dispersive errors.
Warming, R. F.↗
NASA hydrogen maser accuracy and stability in relation to world standards
Frequency comparisons were made among five NASA hydrogen masers to a precision of one part in 10 to the 13th power. Frequency comparisons were also made between these masers and the cesium-beam ensembles of several international standards laboratories. The hydrogen maser frequency stabilities as related to the international time scale (IAT) were comparable to the frequency stabilities of individual time scales with respect to IAT. The relative frequency variations among the NASA masers were 2 plus or minus 2 parts in 10 to the 13th power after a three year interval. Charts are developed to show the results of the accuracy tests.
Peters, H. E.↗
The problem of selecting an optimum frequency for a measuring generator in determining the value of the hydrophysical parameter with a given accuracy
The selection of the optimum frequency for a measuring generator for determining the value of the hydrophysical parameter with a given degree of accuracy is discussed. Methods from information theory for measuring generators are described. Conversion of the frequency of generators into digital form by means of statistical averaging is also described.
Stepanyuk, V. A.↗