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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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Gravitational potential of oblate planet, expressed in terms of oblate spheroidal coordinates, generalized by means of transformation of associated Cartesian system
Partial wave expansion in spheroidal coordinates for diatomic molecules
Donnell equation used in theoretical study of pressure stability of prolate spheroids
Satellite tracking applications of potential function and force field of spheroid in rectangular coordinates
Spheroidal coordinate method for obtaining gravitational potential of oblate planet
Late in 1999 Michael Mishchenko carried out T-matrix calculations of light scattered by oblate spheroidal drops of water at Marston's request. The purpose of the investigation was to determine if the caustic features, known by that time to be visible in the far-field scattering near the primary rainbow region for horizontally illuminated relatively large drops, would also be present in T-matrix calculations of the scattering by small drops. The axis of rotational symmetry of the drop was taken to be vertical, and the illumination was taken to be horizontal. Scattering into the relevant angular region was evaluated for drop aspect ratios D/H = 1, 1.23, 1.311, and 1.37 where D denotes the equatorial diameter and H the vertical diameter. The results are limited to polarized monochromatic illumination with ka = 140 where a = D/2 and k = 2π/λ with λ being the wavelength of the illumination. As expected from geometrical analysis, a horizontal “V” shaped caustic is visible for D/H = 1.311. The T-matrix results, gray-tone intensity displays provided by Mishchenko, remain instructive.
Frobenius series approach to determining free spheroidal oscillations of a gravitating sphere with liquid core
Artificial satellite orbit calculation of an oblate planet, by using approximation for planets gravitational potential which leads to spheroidal method
Seismographic study of spheroidal free periods of earth oscillation
Pendulum simulation of liquid propellant sloshing in spherical and oblate spheroidal tanks
Membrane analysis of very thin pressurized spheroid shells composed of flat gores - application to Echo II satellite
Free vibrations of thin isotropic oblate spheroidal shells
Analytical method for determining axisymmetric longitudinal mode shapes and frequencies of incompressible and inviscid fluid in pressurized flexible oblate spheroidal propellant tank
Vintis spheroid theory for satellite orbit calculation
Gravitational collapse of uniform nonrotating pressure-free spheroid
Spheroidal-type seismogram study of wave generation, propagation, dispersion and attenuation in realistic spherical Earth models, especially Gutenberg-Bullen A-prime model
Hamilton-Jacobi equation and oblate spheroidal coordinates for satellite orbit calculation
Orbital prediction and differential correction using Vintis spheroidal theory for artificial satellites