Generation of potential/surface density pairs in flat disks Power law distributions
| hal.structure.identifier | Laboratoire d'astrodynamique, d'astrophysique et d'aéronomie de bordeaux [L3AB] | |
| hal.structure.identifier | Observatoire aquitain des sciences de l'univers [OASU] | |
| hal.structure.identifier | Université Sciences et Technologies - Bordeaux 1 [UB] | |
| hal.structure.identifier | Laboratoire d'Astrophysique de Bordeaux [Pessac] [LAB] | |
| dc.contributor.author | HURÉ, J.-M. | |
| hal.structure.identifier | Departement d'Astrophysique Extragalactique et de Cosmologie [DAEC] | |
| dc.contributor.author | PELAT, D. | |
| dc.contributor.author | PIERENS, A. | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 0004-6361 | |
| dc.description.abstractEn | We report a simple method to generate potential/surface density pairs in flat axially symmetric finite size disks. Potential/surface density pairs consist of a ``homogeneous'' pair (a closed form expression) corresponding to a uniform disk, and a ``residual'' pair. This residual component is converted into an infinite series of integrals over the radial extent of the disk. For a certain class of surface density distributions (like power laws of the radius), this series is fully analytical. The extraction of the homogeneous pair is equivalent to a convergence acceleration technique, in a matematical sense. In the case of power law distributions, the convergence rate of the residual series is shown to be cubic inside the source. As a consequence, very accurate potential values are obtained by low order truncation of the series. At zero order, relative errors on potential values do not exceed a few percent typically, and scale with the order N of truncation as 1/N**3. This method is superior to the classical multipole expansion whose very slow convergence is often critical for most practical applications. | |
| dc.language.iso | en | |
| dc.publisher | EDP Sciences | |
| dc.title.en | Generation of potential/surface density pairs in flat disks Power law distributions | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1051/0004-6361:20066808 | |
| dc.subject.hal | Physique [physics]/Astrophysique [astro-ph]/Cosmologie et astrophysique extra-galactique [astro-ph.CO] | |
| dc.subject.hal | Planète et Univers [physics]/Astrophysique [astro-ph] | |
| dc.identifier.arxiv | 0706.3616 | |
| bordeaux.journal | Astronomy and Astrophysics - A&A | |
| bordeaux.page | 401-407 | |
| bordeaux.volume | 475 | |
| bordeaux.issue | 2 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00176742 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00176742v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Astronomy%20and%20Astrophysics%20-%20A&A&rft.date=2007&rft.volume=475&rft.issue=2&rft.spage=401-407&rft.epage=401-407&rft.eissn=0004-6361&rft.issn=0004-6361&rft.au=HUR%C3%89,%20J.-M.&PELAT,%20D.&PIERENS,%20A.&rft.genre=article |
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