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Complex Monopoles in Oblate Spheroidal Coordinates

2021
In this short chapter, it is shown that the complex monopole fulfils the Helmholtz equation in oblate spheroidal coordinates and takes a very simple shape in this special coordinate system. However, this representation is no longer used in the following, since we will mainly be working in Cartesian coordinates.
Martin Ochmann, Rafael Piscoya
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Oscillating flow over oblate spheroids

Acta Mechanica, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alassar, R. S., Badr, H. M.
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AN APPROXIMATION TO THE VIBRATIONS OF OBLATE SPHEROIDAL SHELLS

Journal of Sound and Vibration, 1997
Abstract This paper presents the results of investigating the axi-symmetric free vibrations of an isotropic thin oblate spheroidal shell. An oblate spheroid is considered as a continuous system constructed from two spherical shell caps by matching the continuous boundary conditions.
A.M. Al-Jumaily, F.M. Najim
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Drag force on an oblate spheroidal bubble

Chemical Engineering Science, 1967
Abstract A systematic approach to the study of motion of bodies in ideal fluids is discussed under the “effective mass” approach which essentially consists of making an analysis of the total kinetic energy of the system. The calculations of the dynamic quantities of the system are made by knowing the mass “induced” by the body in the fluid.
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Back-Scatter by Oblate Ice Spheroids

Journal of the Atmospheric Sciences, 1963
Abstract Back-scatter measurements are presented for a set of oblate ice spheroids and a set of ice-simulating dielectric spheroids at both 3.2- and 9.7-cm wavelengths as a function of aspect and polarization. The data are highly complex and not subject to simple generalizations.
David Atlas, Raymond Wexler
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Periodic orbits around an oblate spheroid

Celestial Mechanics, 1981
The general properties of certain differential systems are used to prove the existence of periodic orbits for a particle around an oblate spheroid.
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Introduction and manufacturing of oblate spheroid mirror

SPIE Proceedings, 2012
The oblate spheroid mirror is one of the two dimension rotation surface. It is an axially symmetrical aspheric surface, but not free from spheric aberration surface. It can’t be used individually in optical systems. The oblate spheroid mirror can make up with another mirror as a free from spheric aberration optic systems.
Depei Li, Lvjun Yuan, Li He, Bin Wang
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Laminar Flows Past Oblate Spheroids of Various Thicknesses

The Physics of Fluids, 1969
The effect of high surface curvature of bodies on a surrounding laminar flow field is studied by means of steady axisymmetric flows past oblate spheroids of various thicknesses. For vanishing Reynolds number the Oberbeck solution is discussed. For nonzero Reynolds numbers Re ≤ 100 a numerical program is used which was recently developed by Rimon.
Rimon, Y., Lugt, H. J.
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The orbital precession around oblate spheroids

Journal of Mathematical Physics, 2006
An exact series will be given for the gravitational potential generated by an oblate gravitating source. To this end the corresponding Epstein-Hubbell type elliptic integral is evaluated. The procedure is based on the Legendre polynomial expansion method and on combinatorial techniques.
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Rotating Stratified Heterogeneous Oblate Spheroid in Newtonian Physics

Celestial Mechanics and Dynamical Astronomy, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Esteban, E. P., Vazquez, S.
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