Results 31 to 40 of about 6,217,741 (298)
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
doaj +1 more source
Centroamericanidades: Imaginative Reformulation and New Configurations of Central Americanness
Studies in 20th & 21st Century Literature, 2013 The principal question posed in this special issue is: Where is Central America? At a primary level this would appear to be a simple geographical question, even if it were to offer a topology of a qualitatively distinct world…
Arturo Arias
doaj +1 more source
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
doaj +1 more source
Stationary solutions of the Schrödinger-Poisson-Euler system and their stability
Physics Letters B, 2023 We present the construction of stationary boson-fermion spherically symmetric configurations governed by Newtonian gravity. Bosons are described in the Gross-Pitaevskii regime and fermions are assumed to obey Euler equations for an inviscid fluid with ...
Iván Álvarez-Rios +1 more
doaj +1 more source
Central Configurations and Mutual Differences [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2017 Central configurations are solutions of the equations $λm_j\boldsymbol{q}_j = \frac{\partial U}{\partial \boldsymbol{q}_j}$, where $U$ denotes the potential function and each $\boldsymbol{q}_j$ is a point in the $d$-dimensional Euclidean space $E\cong {\mathbb R}^d$, for $j=1,\ldots, n$.
openaire +5 more sources
Spatial Central Configurations with Two Twisted Regular 4-Gons
Journal of Applied Mathematics, 2013 We study the configuration formed by two squares in two parallel layers separated by a distance. We picture the two layers horizontally with the z-axis passing through the centers of the two squares.
Sen Zhang, Furong Zhao
doaj +1 more source
UniverseCentral configurations are fundamental equilibrium solutions of the Newtonian n-body problem and play a key role in understanding the structure and dynamics of gravitational systems.
Zalán Czirják +2 more
doaj +1 more source
On the Sectional Curvature Along Central Configurations [PDF]
Regular and Chaotic Dynamics, 2018 14 pages, 4 ...
Jackman, Connor, Meléndez, Josué
openaire +3 more sources
Centrally Symmetric Configurations of Integer Matrices [PDF]
Nagoya Mathematical Journal, 2014 Abstract The concept of centrally symmetric configurations of integer matrices is introduced. We study the problem when the toric ring of a centrally symmetric configuration is normal and when it is Gorenstein. In addition, Gröbner bases of toric ideals of centrally symmetric configurations are discussed.
Ohsugi, Hidefumi, Hibi, Takayuki
openaire +4 more sources
New classes of spatial central configurations for the 7-body problem
Anais da Academia Brasileira de Ciências, 2014 In this paper we show the existence of new families of spatial central configurations for the 7-body problem. In the studied spatial central configurations, six bodies are at the vertices of two equilateral triangles , and one body is located out of the
ANTONIO CARLOS FERNANDES +1 more
doaj +1 more source