Modes of oscillation of a uniformly rotating, homogeneous spheroid of stars

1991 ◽  
Vol 377 ◽  
pp. 49 ◽  
Author(s):  
Peter O. Vandervoort
Keyword(s):  
Homogeneous Spheroid

scholarly journals Comparison of stellar orbits in the Large Magellanic Cloud and in the Galaxy

1964 ◽  
Vol 20 ◽  
pp. 263-269
Author(s):  
L. Perek
Keyword(s):  
Large Magellanic Cloud ◽  
Magellanic Cloud ◽  
Rotation Curves ◽  
Strong Concentration ◽  
Stellar Orbits ◽  
Two Systems ◽  
The Galaxy ◽  
Order Of Magnitude ◽  
Homogeneous Spheroid ◽  
Weak Concentration

The rotation curves of the LMC and the Galaxy differ markedly by the slope of the curve near the centre. Two causes may be responsible for this difference. Firstly, the mass of the Galaxy exceeds that of LMC by about one order of magnitude and the resulting orbital velocities at corresponding distances must be larger in the Galaxy than in the LMC. Secondly, the distribution of mass may be different in the two systems. Indeed, several investigations showed that the Galaxy is best represented by a model exhibiting a strong concentration of mass while the LMC is consistent with models of a very weak concentration, a homogeneous spheroid yielding a passable approximation.

scholarly journals Scattering of the Laguerre-Gaussian beam by a homogeneous spheroid

2013 ◽  
Vol 62 (11) ◽  
pp. 114201
Author(s):  
Ou Jun ◽  
Jiang Yue-Song ◽  
Shao Yu-Wei ◽  
Qu Xiao-Sheng ◽  
Hua Hou-Qiang ◽  
...  
Keyword(s):  
Gaussian Beam ◽  
Homogeneous Spheroid

scholarly journals Решение задачи дифракции на теле вращения, расположенном в диэлектрическом слое

2019 ◽  
Vol 127 (12) ◽  
pp. 942
Author(s):  
С.А. Маненков
Keyword(s):  
Circular Cylinder ◽  
Plane Wave ◽  
Dielectric Layer ◽  
Layered Medium ◽  
Body Of Revolution ◽  
Dielectric Body ◽  
Material Characteristics ◽  
Homogeneous Spheroid

Two methods for solving the problem of diffraction of the plane wave by the dielectric body of revolution located in the homogeneous dielectric layer are proposed. Two methods are compared using the example of the scattering of the plane wave by the homogeneous spheroid and the circular cylinder of finite dimensions located in the layer. The results of calculating the pattern for the case of diffraction by the finite circular cylinder which is immersed in the layer and has variable material characteristics are presented. The wavelength dependences of the pattern for plasmon particles located in the layered medium are obtained.

Extrema in the light-scattering indicatrix of a homogeneous spheroid

1999 ◽  
Vol 63 (2-6) ◽  
pp. 353-367 ◽  
Author(s):  
Nikolay V. Shepelevich ◽  
Inna V. Prostakova ◽  
Valeri N. Lopatin
Keyword(s):  
Light Scattering ◽  
Scattering Indicatrix ◽  
Homogeneous Spheroid

scholarly journals On the state of the interior of the earth. Second memoir. On the phenomena of precession and nutation, assuming the fluidity of the interior of the earth

1843 ◽  
Vol 4 ◽  
pp. 115-116
Keyword(s):  
Outer Surface ◽  
Simple Form ◽  
Degree Of Approximation ◽  
Variable Density ◽  
Solid Shell ◽  
The Earth ◽  
The Difference ◽  
Spheroidal Surface ◽  
Homogeneous Spheroid ◽  
Equal Density

In this memoir the author investigates the amount of the lunisolar precession and nutation, assuming the earth to consist of a solid spheroidal shell filled with fluid. For the purpose of presenting the problem under its most simple form, he first supposes the solid shell to be bounded by a determinate inner spheroidal surface, of which the ellipticity is equal to that of the outer surface; the change from the solidity of the shell to the fluidity of the included mass being, not gradual, but abrupt. He also here supposes both the shell and the fluid to be homogeneous, and of equal density. The author then gives the statement of the problem which he proposes to investigate ; the investigation itself, which occupies the remainder of the paper, being wholly analytical, and insusceptible of abridgement. The following, however, are the results to which he is conducted by this laborious process: namely, that, on the hypothesis above stated, 1. The Precession will be the same, whatever be the thickness of the shell, as if the whole earth were homogeneous and solid. 2. The Lunar Nutation will be the same as for the homogeneous spheroid to such a degree of approximation that the difference would be inappreciable to observation. 3. The Solar Nutation will be sensibly the same as for the homogeneous spheroid, unless the thickness of the shell be very nearly of a certain value, namely, something less than one quarter of the earth’s radius; in which case this nutation might become much greater than for the solid spheroid. 4. In addition to the above motions of precession and nutation, the pole of the earth would have a small circular motion, depending entirely on the internal fluidity: The radius of the circle thus described would be greatest when the thickness of the shell was the least: but the inequality thus produced would not, for the smallest thickness of the shell, exceed a quantity of the same order as the polar nutation, and for any but the most inconsiderable thickness of the shell would be entirely inappreciable to observation. In his next communication, the author purposes considering the case in which both the solid shell and the inclosed fluid mass are of variable density.

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