SEARCH · Engineering Papers
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.
Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.
Transition probabilities for collinear collision of particle with harmonic oscillator, noting reasons for discrepancy in Jackson and Mott form
Inelastic scattering cross sections calculated, comparing results for various nuclear states expressed as Wood-Saxon radial and harmonic oscillator functions
Propylene imine IR and Raman spectra, calculating thermodynamic functions based on rigid rotator harmonic oscillator model
Coulomb, Gaussian and harmonic oscillator potentials for particle pairs in three body system, using S wave expansion
Linear physical chains with Sturm-Liouville characteristic polynomials used for natural frequency determination of coupled harmonic oscillators or electrical analog
Morse eigenfunctions for variational calculation of diatomic molecules vibrational-rotational energy level analysis, showing better convergence than harmonic oscillator basis
Basis functions with harmonic oscillator radial dependence in Hartree-Fock calculations for light deformed nuclei
Coupled simple harmonic oscillators with almost degenerate energy levels, comparing partitioning perturbation techniques with Rayleigh- Schroedinger approach
Three body problem periodic solutions, considering near equilibrium conservative Hamiltonian system consisting of two harmonic oscillators with rationally related frequencies
Investigating short-range behavior of wave function by comparing projected Hartree-Fock spectra using basis functions having harmonic oscillator and Wood-Saxon radial dependence
Human physiochemistry, thermoregulation, and harmonic oscillation of blood glucose levels
Equations of motion for rotating gravity gradiometer, developed for forced harmonic oscillator model
Projected Hartree-Fock energy spectra using basis wave functions with harmonic oscillator and Wood-Saxon radial dependence
Theoretical work designed to bridge the gap between celestial mechanics and the motion of charged particles in magnetic fields is presented. Attempts are made to devise a simple uninvolved method to solve adiabatic invariant motion problems. The method is illustrated by solving a problem involving the motion of a slowly perturbed harmonic oscillator.
A heuristic description is given for a simple harmonic oscillator as a basis for a model of anharmonicity. A formalism is applied in the process, which applies to complex excitation fields involving particle clusters and also facilitates a description of nonequilibrium multibody configurations by classical methods. The heuristic description is based on Streit's results (1965) and is free of linearization requirements in most physically interesting situations.
A study has been made of a dynamical system composed of a pendulum and a harmonic oscillator, in order to show the remarkable resemblance with many classical celestial mechanics problems, in particular, the restricted three-body problem. It is shown that the well-known investigations of periodic orbits can be applied to the present dynamics problem.
This report describes a computer program (program D2180) that has been prepared to implement the analysis described in (N71-10866) for calculating the aerodynamic forces on a class of harmonically oscillating planar lifting surfaces in supersonic potential flow. The planforms treated are the delta and modified-delta (arrowhead) planforms with subsonic leading and supersonic trailing edges, and (essentially) pointed tips. The resulting aerodynamic forces are applied in a Galerkin modal flutter analysis. The required input data are the flow and planform parameters including deflection-mode data, modal frequencies, and generalized masses.
The Newtonian differential equations of motion for the two-body problem can be transformed into four linear harmonic-oscillator equations by simultaneously applying the regularization step dt/ds = r and the Kustaanheimo-Stieffel (KS) transformation. The regularization step changes the independent variable from time to a new variable s, and the KS transformation transforms the position and velocity vectors from Cartesian space into a four-dimensional space. A derivation of a uniform, regular solution for the perturbed two-body problem in the four-dimensional space is presented. The variation-of-parameters technique is used to develop expressions for the derivatives of ten elements (which are constants in the unperturbed motion) for the general case that includes both perturbations which can arise from a potential and perturbations which cannot be derived from a potential. This ten-element solution has mixed secular terms that degrade the long-term accuracy during numerical integration. Therefore, to eliminate these terms, the solution is modified by introducing two additional elements.