Results 41 to 50 of about 1,217 (178)
II.—Oblate spheroidal harmonics and their applications [PDF]
Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, 1924 Abstract The harmonic functions appropriate to the oblate spheroid, which are of the form Pn (ζ), qn (ζ), or Pn (ιζ), Qn (ιζ), when the large letters denote the usual Legendre functions, have received but little attention. Yet they provide, as we shall show in this memoir, a very elegant analysis of a variety of physical problems.
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Journal of Applied Crystallography, Volume 59, Issue 4, Page 1170-1183, August 2026.We present a model‐independent approach based on the Shannon sampling theorem to retrieve key structural parameters of proteins and core–shell micelles directly from small‐angle X‐ray scattering (SAXS) profiles. By bypassing the pair distribution function, the method overcomes q‐truncation artifacts and provides reliable mass, size and aggregation ...
Liberato De Caro +7 more
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Advances in Mathematical Physics, 2012 This paper investigates the positions and linear stability of an infinitesimal body around the equilibrium points in the framework of the Robe’s circular restricted three-body problem, with assumptions that the hydrostatic equilibrium figure of the first
Jagadish Singh, Abubakar Umar Sandah
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Slip at the surface of a general axi-symmetric body rotating in a viscous fluid
Archives of Mechanics, 2011 The rotational motion of an arbitrary axi-symmetric body in a viscous fluid is discussed using a combined analytical-numerical technique. A singularity method based on a continuous distribution of a set of Sampson spherical singularities, namely ...
E.A. Ashmawy
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Photonic Nanojet Generation Using Integrated Silicon Photonic Chip with Hemispherical Structures
Photonics, 2021 Photonic nanojet (PNJ) is a tightly focused diffractionless travelling beam generated by dielectric microparticles. The location of the PNJ depends on the refractive index of the material and it usually recedes to the interior of the microparticle when ...
Aneesh Vincent Veluthandath +1 more
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Analytical and numerical methods of converting Cartesian to ellipsoidal coordinates
Journal of Geodetic Science, 2021 In this work, two analytical and two numerical methods of converting Cartesian to ellipsoidal coordinates of a point in space are presented. After slightly modifying a well-known exact analytical method, a new exact analytical method is developed.
Panou G., Korakitis R.
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Magnetic properties of geraisites, the first tektite strewn field identified in Brazil
Meteoritics &Planetary Science, Volume 61, Issue 7, Page 1163-1178, July 2026.Abstract Geraisites are a newly recognized class of tektite from Brazil. They occur as centimeter‐sized, elongated to subspherical bodies scattered across surface gravel and shallow subsurface layers within a ~90‐km‐long strewn field extending between the municipalities of São João do Paraíso and Curral de Dentro, near the border between the states of ...
Melissa De Andrade Nunes +7 more
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An Analysis of Hurricane Eyewall Ice Using a Novel Lagrangian Trajectory and Growth Model
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 11, 16 June 2026.Abstract Ice crystals in tropical cyclones (TCs) remain infrequently observed and difficult to model using Eulerian microphysics parameterizations. To better understand TC eyewall ice crystal processes, the Ice Crystal Trajectory Growth (ICTG) model, previously applied to an idealized squall line, was used to simulate Lagrangian ice crystal ...
Bruno S. Rojas +4 more
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MathematicsWe present gravitational, electrostatic and thermal field intensities as series of spherical harmonics with the polar distance raised to irrational powers.
Gerassimos Manoussakis +2 more
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Density Profiles of 51 Galaxies from Parameter-Free Inverse Models of Their Measured Rotation Curves
Galaxies, 2020 Spiral galaxies and their rotation curves have key characteristics of differentially spinning objects. Oblate spheroid shapes are a consequence of spin and reasonably describe galaxies, indicating that their matter is distributed in gravitationally ...
Robert E. Criss, Anne M. Hofmeister
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