Results 11 to 20 of about 3,877,766 (328)
Some problems on the classical n-body problem [PDF]
Celestial Mechanics and Dynamical Astronomy, 2012 10 pages, list of mathematical ...
Albouy, Alain +2 more
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RelativisticN-body problem in a separable two-body basis [PDF]
, 2001 We use Dirac's constraint dynamics to obtain a Hamiltonian formulation of the relativistic N-body problem in a separable two-body basis in which the particles interact pair-wise through scalar and vector interactions.
Cheuk-Yin Wong, Horace W. Crater
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Hidden algebra of the N-body Calogero problem [PDF]
, 1994 A certain generalization of the algebra $gl(N,{\bf R})$ of first-order differential operators acting on a space of inhomogeneous polynomials in ${\bf R}^{N-1}$ is constructed. The generators of this (non)Lie algebra depend on permutation operators. It is
Alexander V. Turbiner
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Integrability and Non Integrability of Some n Body Problems [PDF]
, 2016 We prove the non integrability of the colinear $3$ and $4$ body problem, for any masses positive masses. To deal with resistant cases, we present strong integrability criterions for $3$ dimensional homogeneous potentials of degree $-1$, and prove that ...
Thierry Combot
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Accelerating Polyhedral Discrete Element Method with CUDA
The Astronomical Journal, 2023 This paper presents an efficient CUDA-based implementation of a nonspherical discrete element method where irregular particles are described by using polyhedrons. Two strategies are employed to exploit the parallelism of the numerical method.
Tongge Wen, Xiangyuan Zeng
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Constrained n-Body Problems [PDF]
, 2014 Applied Non-Linear Dynamical Systems, ed.
Szumiński, Wojciech, Przybylska, Maria
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Array languages and the N-body problem [PDF]
, 2013 This paper is a description of the contributions to the SICSA multicore challenge on many body planetary simulation made by a compiler group at the University of Glasgow.
Cockshott, P., Gdura, Y., Keir, P.
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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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Planetesimal Accretion at Short Orbital Periods
The Astrophysical Journal, 2023 Formation models in which terrestrial bodies grow via the pairwise accretion of planetesimals have been reasonably successful at reproducing the general properties of the Solar System, including small-body populations. However, planetesimal accretion has
Spencer C. Wallace, Thomas R. Quinn
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Periodic Solutions for N-Body-Type Problems [PDF]
Chinese Annals of Mathematics, Series B, 2020 We consider non-autonomous $N$-body-type problems with strong force type potentials at the origin and sub-quadratic growth at infinity, and using Ljusternik-Schnirelmann theory, we prove the existence of unbounded sequences of critical values for the Lagrangian action corresponding to non-collision periodic solutions.
Li, Fengying, Zhang, Shiqing
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