Results 21 to 30 of about 3,877,766 (328)
Variational Integrators for the Gravitational N-Body Problem [PDF]
, 2006 This paper describes a fourth-order integration algorithm for the gravitational N-body problem based on discrete Lagrangian mechanics. When used with shared timesteps, the algorithm is momentum conserving and symplectic.
Edmund Bertschinger +3 more
core +2 more sources
A Dynamical Survey of the Trans-Neptunian Region. I. Mean-motion Resonances with Neptune
The Astrophysical Journal Supplement Series, 2023 In this paper, we present a large-scale dynamical survey of the trans-Neptunian region, with particular attention to mean-motion resonances (MMRs). We study a set of 4121 trans-Neptunian objects (TNOs), a sample far larger than in previous works.
E. Forgács-Dajka +4 more
doaj +1 more source
An elegant solution of the n-body Toda problem [PDF]
, 1995 The solution of the classical open-chain n-body Toda problem is derived from an ansatz and is found to have a highly symmetric form. The proof requires an unusual identity involving Vandermonde determinants.
Anderson, Arlen
core +3 more sources
Body composition in Serbian police officers [PDF]
NBP: Nauka, bezbednost, policija, 2022 Background. Police work belongs to the category of exceptionally responsible and psychologically , socially and physically strenuous and stressful professions.
Vuković Marko +3 more
doaj +1 more source
Busemann Functions for the N-Body Problem [PDF]
Archive for Rational Mechanics and Analysis, 2014 10 ...
Percino, Boris +1 more
openaire +2 more sources
On the regular-geometric-figure solution to the N-body problem [PDF]
, 2001 The regular-geometric-figure solution to the $N$-body problem is presented in a very simple way. The Newtonian formalism is used without resorting to a more involved rotating coordinate system.
Antonio S de Castro +8 more
core +2 more sources
Explicit Solution to the N-Body Calogero Problem
, 1992 We solve the N-body Calogero problem, \ie N particles in 1 dimension subject to a two-body interaction of the form $\half \sum_{i,j}[ (x_i - x_j)^2 + g/ {(x_i - x_j)^2}]$, by constructing annihilation and creation operators of the form $ a_i^\mp =\frac 1
Calogero +17 more
core +1 more source
Infinite-body optimal transport with Coulomb Cost [PDF]
, 2013 We introduce and analyze symmetric infinite-body optimal transport (OT) problems with cost function of pair potential form. We show that for a natural class of such costs, the optimizer is given by the independent product measure all of whose factors are
Cotar, Codina +2 more
core +3 more sources
New Classes of Spatial Central Configurations for N + N + 2-Body Problem
Abstract and Applied Analysis, 2012 Under arbitrary masses, in this paper, we discuss the existence of new families of spatial central configurations for the N + N + 2-body problem, 𝑁≥2.
Liu Xuefei +3 more
doaj +1 more source
Analytic Harmonic Approach to the N-body problem
, 2011 We consider an analytic way to make the interacting N-body problem tractable by using harmonic oscillators in place of the relevant two-body interactions.
Armstrong, J. R. +3 more
core +2 more sources