Satellite prediction formulae for Vinti's model
Satellite orbit prediction formulas for Vinti dynamic model with three coordinates expressed in terms of independent variable
Omathuna, D.↗
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Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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Dissociation of diatomic molecules from the viewpoint of the integral Hellmann-Feynman formula- H2, LiH, and Li2
Integral Hellmann-Feynman formula for dissociation energies in H, Li and LiH molecules, discussing transition densities and dissociation energy
Marron, M. T.↗
Recursive formulas for the evaluation of certain complex integrals
Recursive formulas for stability tests and quadratic loss functions evaluation for linear discrete time dynamical systems
Astroem, K. J.↗
A general formula for artificial electron decay life-times
General formula for artificial electron decay life times
Stassinopoulos, E. G.↗
Automated, closed form integration of formulas in elliptic motion
Description of algorithm for performing automated closed form integration of formulas in elliptic motion
Jefferys, W. H.↗
Databook for human factors engineers. Volume 2 - Common formulas, metrics, definitions
Human factors engineering manual including mathematical formulas, nomographs, conversion tables, units of measurement, and nomenclatures
Kubokawa, C.↗
Formulas for nth order derivatives of hyperbolic and trigonometric functions
Formulas for nth order derivatives of hyperbolic and trigonometric functions used in evaluating Fourier sine and cosine integrals
Wintucky, E. G.↗
Simplified formulae for the calculation of perturbations of the osculating orbital parameters and of the range rate of a celestial body
Simple formula for calculating time variations of instantaneous osculating orbital parameters and celestial body range rate
Georgevic, R. M.↗
Classical fourth- and lower order Runge-Kutta formulas with stepsize control and their application to heat transfer problems
Classic fourth and lower order Runge-Kutta formulas with stepsize control, applying to heat transfer problems
Fehlberg, E.↗
Automated, closed form integration of formulas in elliptic motion
Algorithm for automatic closed form integration of formulas in elliptic motion arising in perturbation theories
Jefferys, W. H.↗
Asymptotic formulas for the buckling stresses of axially compressed cylinders with localized or random axisymmetric imperfections
Buckling of axially compressed circular cylindrical shells with localized or random axisymmetric imperfections, deriving asymptotic approximation formulas for stress calculation
Amazigo, J. C.↗
Orthogonality, positive operators, and the frequency-power formulas
Orthogonality and positive operators on space of almost periodic and quasi-periodic functions, using frequency-power formulas
Skoog, R. A.↗
An analytic formula for heating due to ozone absorption
An attempt was made to devise a simple expression or formula to describe radiative heating in the atmosphere by ozone absorption. Such absorption occurs in the Hartley, Huggins, and Chappuis bands and is only slightly temperature and pressure dependent.
Lindzen, R. S.↗
Generalization of formulas for ionization energy losses and collision cross section in threshold detectors
Two types of formulas were obtained for (- dE/dx) and the number of collisions per unit of path length (dN/dx) = const, which depend on W sub m, with due account of the polarization effect of the medium.
Yermilova, V. K.↗
Two transducer formula for more precise determination of ultrasonic phase velocity from standing wave measurements
A two transducer correction formula valid for both solid and liquid specimens is presented. Using computer simulations of velocity measurements, the accuracy and range of validity of the results are discussed and are compared with previous approximations.
Ringermacher, H. I.↗
Evaluation of lattice sums by the Poisson sum formula
The Poisson sum formula was applied to the problem of summing pairwise interactions between an observer molecule and a semi-infinite regular array of solid state molecules. The transformed sum is often much more rapidly convergent than the original sum, and forms a Fourier series in the solid surface coordinates. The method is applicable to a variety of solid state structures and functional forms of the pairwise potential. As an illustration of the method, the electric field above the (100) face of the CsCl structure is calculated and compared to earlier results obtained by direct summation.
Ray, R. D.↗
Computer programs for the interpretation of low resolution mass spectra: Program for calculation of molecular isotopic distribution and program for assignment of molecular formulas
Two FORTRAN computer programs for the interpretation of low resolution mass spectra were prepared and tested. One is for the calculation of the molecular isotopic distribution of any species from stored elemental distributions. The program requires only the input of the molecular formula and was designed for compatability with any computer system. The other program is for the determination of all possible combinations of atoms (and radicals) which may form an ion having a particular integer mass. It also uses a simplified input scheme and was designed for compatability with any system.
Miller, R. A.↗
Accuracy of the Kirchoff formula in determining acoustic shielding with the use of a flat plate
It has been suggested that if jet engines of aircraft were placed at above the wing instead of below it, the wing would provide a partial shielding of the noise generated by the engines relative to observers on the ground. The shielding effects of an idealized three-dimensional barrier in the presence of an idealized engine noise source was predicted by the Kirchoff formula. Based on the good agreement between experimental measurements and the numerical results of the current study, it was concluded that the Kirchoff approximation provides a good qualitative estimate of the acoustic shielding of a point source by a rectangular flat plate for measurements taken in the far field of the flat plate at frequencies ranging from 1 kHz to 20 kHz. At frequencies greater than 4 kHz the Kirchoff approximation provides accurate quantitative predictions of acoustic shielding.
Gabrielsen, R. E.↗