Computational issues connected with 3D N-body simulations

Statistics – Computation

Scientific paper

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Computational Astrophysics, Galactic Structure, Three Body Problem, Astronomical Models, Galactic Evolution

Scientific paper

Computational problems related to modeling gravitational systems, and running and analyzing 3D N-body models are discussed. N-body simulations using Particle-Mesh techniques with polar grids are especially well-suited, and physically justified, when studying quiet evolutionary processes in disk galaxies. This technique allows large N, high central resolution, and is still the fastest one. Regardless of the method chosen to compute gravitation, softening is a compromise between HF amplification and resolution. Softened spherical and ellipsoidal kernels with variable resolution are set up. Detailed characteristics of the 3D polar grid, tests, code performances, and vectorization rates are also given. For integrating motion in rotating coordinates, a stable symplectic extension of the leap-frog algorithm is described. The technique used to search for periodic orbits in arbitrary N-body potentials and to determine their stability is explained.

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