Results 1 to 10 of about 276,368 (266)
Poland and New Trends in Central European Regional Configuration [PDF]
Современная Европа, 2021 The article examines Warsaw's attempts to expand its influence in Central Europe by initiating various regional integration projects: cooperation with the Baltic sea countries participation in the development of the Carpathian region the newest format –
Rusakova M.
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Regular Polygon Central Configuration of the Restricted 1 + N-Body Problem
Universe, 2023 We consider the central configurations of the 1+N-body problem, where N bodies are infinitesimal and the remaining one body is dominant. For regular polygon central configurations, we prove that the masses of all the infinitesimal bodies are equal when N
Jian Chen, Peng Bi, Mingfang Yang
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On the relative equilibrium configurations in the planar five-body problem [PDF]
Opuscula Mathematica, 2010 The number of central configurations in the Grebenicov-Elmabsout model of the planar five-body problem is estimated. An appropriate rational parameterization is used to reduce the equations defining such configurations to some polynomial ones.
Agnieszka Siluszyk
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Rosette Central Configurations, Degenerate Central Configurations and Bifurcations [PDF]
Celestial Mechanics and Dynamical Astronomy, 2006 In this paper we find a class of new degenerate central configurations and bifurcations in the Newtonian $n$-body problem. In particular we analyze the Rosette central configurations, namely a coplanar configuration where $n$ particles of mass $m_1$ lie at the vertices of a regular $n$-gon, $n$ particles of mass $m_2$ lie at the vertices of another $n$-
Lei, J., Santoprete, M.
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Trapezoid central configurations [PDF]
Applied Mathematics and Computation, 2019 We classify all planar four-body central configurations where two pairs of the bodies are on parallel lines. Using Cartesian coordinates, we show that the set of four-body trapezoid central configurations with positive masses forms a two-dimensional surface where two symmetric families, the rhombus and isosceles trapezoid, are on its boundary.
Montserrat Corbera +3 more
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Spiderweb Central Configurations [PDF]
Qualitative Theory of Dynamical Systems, 2019 In this paper we study spiderweb central configurations for the $N$-body problem, i.e configurations given by $N=n \times \ell+1$ masses located at the intersection points of $\ell$ concurrent equidistributed half-lines with $n$ circles and a central mass $m_0$, under the hypothesis that the $\ell$ masses on the $i$-th circle are equal to a positive ...
Olivier Hénot, Christiane Rousseau
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Central configurations in three dimensions [PDF]
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2003 37 pages, 18 figures, 3 as colour jpg files. References added.
Battye, Richard A. +2 more
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Tangential Trapezoid Central Configurations [PDF]
Regular and Chaotic Dynamics, 2020 A tangential trapezoid, also called a circumscribed trapezoid, is a trapezoid whose four sides are all tangent to a circle within the trapezoid: the in-circle or inscribed circle. In this paper we classify all planar four-body central configurations, where the four bodies are at the vertices of a tangential trapezoid.
Yuan, Pengfei, Llibre, Jaume
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Various configuration types of the foveal avascular zone with related factors in normal Chinese adults with or without myopia assessed by swept-source OCT angiography [PDF]
International Journal of Ophthalmology, 2022 AIM: To describe the morphological characteristics of foveal avascular zone (FAZ) in normal Chinese adults with or without myopia by swept-source optical coherence tomography angiography (SS-OCTA) and analyze the possible associated factors.
Yan-Min Dong +6 more
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On the equilateral pentagonal central configurations
Communications in Nonlinear Science and Numerical Simulation, 2022 An equilateral pentagon is a polygon in the plane with five sides of equal length. In this paper we classify the central configurations of the $5$-body problem having the five bodies at the vertices of an equilateral pentagon with an axis of symmetry.
Martha Alvarez-Ramírez +2 more
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