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Accurate Numerical Potential and Field in Razor‐thin, Axisymmetric Disks

2005/01/11 by J.-M. Huré, Jean-Marc Hure, A. Pierens +1 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysical Phenomena and Observations #Geophysics and Gravity Measurements #Pulsars and Gravitational Waves Research #astro-ph

paper · pdf · doi:10.1086/428769

published as Astrophys.J. 624 (2005) 289-294 · 11 pages, 5 color figures, 2 tables

arxiv created 2005/01/11 · openalex publication_date 2005/04/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We demonstrate the high accuracy of the density splitting method to compute the gravitational potential and field in the plane of razor-thin, axisymmetric disks, as we preliminarily outlined in an earlier paper. Because residual kernels in Poisson integrals are not C ∞ -class functions, we use a dynamical space mapping in order to increase the efficiency of advanced quadrature schemes. In terms of accuracy, results are better by orders of magnitude than for the classical fast Fourier transform (FFT) methods.

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