Exploració per tema "Many-body problem"
Ara es mostren els items 1-20 de 26
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A family of stacked central configurations in the planar five-body problem
(2017-11)
Article
Accés obertWe study planar central configurations of the five-body problem where three bodies, (Formula presented.) and (Formula presented.), are collinear and ordered from left to right, while the other two, (Formula presented.) and ... -
A four-body convex central configuration with perpendicular diagonals is necessarily a kite
(2018-07-01)
Article
Accés obertWe prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, including the planar four-vortex problem. -
A special family of stacked central configurations: Lagrange plus Euler in one
(2019-06)
Article
Accés obertWe show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m1, m2 and m3, ordered from left to right, are collinear and form an Euler central ... -
Bifurcation of relative equilibria of the (1+3)-body problem
(2015-04-02)
Article
Accés obertWe study the relative equilibria of the limit case of the planar Newtonian 4-body problem when three masses tend to zero, the so-called (1+3)-body problem. Depending on the values of the infinitesimal masses the number of ... -
Central configurations in the five-body problem: rhombus plus one
(2021-05-20)
Article
Accés obertWe show the existence of central configurations in the planar five-body problem where four bodies are located at the vertices of a rhombus, called rhombus plus one central configurations. Concretely we prove analytically ... -
Central configurations of the planar coorbial satellite problem
(2004-10)
Article
Accés obertWe study the planar central configurations of the 1 +n body problem where one mass is large and the other n masses are infinitesimal and equal. We find analytically all these central configurations when 2=n=4. Numerically, ... -
Classifying four-body convex central configurations
(2019-07-01)
Article
Accés obertWe classify the full set of convex central configurations in the Newtonian planar four-body problem. Particular attention is given to configurations possessing some type of symmetry or defining geometric property. Special ... -
Convexity and symmetry of central configurations in the five-body problem: Lagrange plus two
(2021-07-10)
Article
Accés obertWe study convexity and symmetry of central configurations in the five body problem when three of the masses ara located at the vertices of an equilateral triangle, that we call Lagrange plus two central configurations. ... -
Coorbital periodic orbits in the three body problem
(2003-05)
Article
Accés obertWe consider the dynamics of coorbital motion of two small moons about a large planet which have nearly circular orbits with almost equal radii. These moons avoid collision because they switch orbits during each close ... -
Four-body co-circular central configurations
(2012-02)
Article
Accés obertWe classify the set of central configurations lying on a common circle in the Newtonian four-body problem. Using mutual distances as coordinates, we show that the set of four-body co-circular central configurations with ... -
Highly eccentric hip-hop solutions of the 2N-body problem
(2010-02)
Article
Accés obertWe show the existence of families of hip-hop solutions in the equal-mass 2N-body problem which are close to highly eccentric planar elliptic homographic motions of 2N bodies plus small perpendicular non-harmonic oscillations. ... -
Hip-hop solutions of the 2N-body problem
(2006-09)
Article
Accés obertHip–Hop solutions of the 2N–body problem with equal masses are shown to exist using an analytic continuation argument. These solutions are close to planar regular 2N–gon relative equilibria with small vertical oscillations. ... -
J2 effect and elliptic inclined periodic orbits in the collision three-body problem
(2008-01)
Article
Accés obertThe existence of a new class of inclined periodic orbits of the collision restricted three{body problem is shown. The symmetric periodic solutions found are perturbations of elliptic kepler orbits and they exist only for ... -
Load assessment and analysis of impacts in multibody systems
(2016-09)
Article
Accés obertThe evaluation of contact forces during an impact requires the use of continuous force-based methods. An accurate prediction of the impact force demands the identification of the contact parameters on a case-by-case basis. ... -
Numerical exploration of the limit ring problem
(2013-04)
Article
Accés obertThe aim of this work is to provide an insight of an idealized model of a planetary ring. The model is a limit case of the planar circular restricted 1 + n body problem, where an infinitesimal particle moves under the ... -
On central configurations of the kn-body problem
(2019-08-15)
Article
Accés obertWe consider planar central configurations of the Newtonian kn-body problem consisting in k groups of regular n-gons of equal masses, called (k, n)-crown. We derive the equations of central configurations for a general (k, ... -
On strictly convex central configurations of the 2n-body problem
(2019-12-01)
Article
Accés obertWe consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n=5 all convex central configurations of two twisted ... -
On the central configurations of the planar 1 + 3 body problem
(2011)
Article
Accés obertWe consider the Newtonian 4 body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two diferent classes of central ... -
Polarons, dressed molecules and itinerant ferromagnetism in ultracold Fermi gases
(Institute of Physics (IOP), 2014-02-19)
Article
Accés obertIn this review, we discuss the properties of a few impurity atomsimmersed in a gas of ultracold fermions, the so-called Fermi polaron problem. On one side, this many-body system is appealing because it can be described ... -
Quantum many-body systems out of equilibrium
(Nature Publishing group, 2015-02-03)
Article
Accés obertHow do closed quantum many-body systems driven out of equilibrium eventually achieve equilibration? And how do these systems thermalize, given that they comprise so many degrees of freedom? Progress in answering these—and ...
