Afficher la notice abrégée

hal.structure.identifierLaboratoire d'Astrophysique de Bordeaux [Pessac] [LAB]
dc.contributor.authorHURÉ, J.-M.
hal.structure.identifierLaboratoire d'Astrophysique de Bordeaux [Pessac] [LAB]
dc.contributor.authorBASILLAIS, B.
dc.contributor.authorKARAS, V.
dc.contributor.authorTROVA, A.
dc.contributor.authorSEMERÁK, O.
dc.date.issued2020
dc.identifier.issn0035-8711
dc.description.abstractEnWe perform a bivariate Taylor expansion of the axisymmetric Green function in order to determine the exterior potential of a static thin toroidal shell having a circular section, as given by the Laplace equation. This expansion, performed at the centre of the section, consists in an infinite series in the powers of the minor-to-major radius ratio $e$ of the shell. It is appropriate for a solid, homogeneous torus, as well as for inhomogeneous bodies (the case of a core stratification is considered). We show that the leading term is identical to the potential of a loop having the same main radius and the same mass | this "similarity" is shown to hold in the ${\cal O}(e^2)$ order. The series converges very well, especially close to the surface of the toroid where the average relative precision is $\sim 10^{-3}$ for $e\! = \!0.1$ at order zero, and as low as a few $10^{-6}$ at second order. The Laplace equation is satisfied {\em exactly} in every order, so no extra density is induced by truncation. The gravitational acceleration, important in dynamical studies, is reproduced with the same accuracy. The technique also applies to the magnetic potential and field generated by azimuthal currents as met in terrestrial and astrophysical plasmas.
dc.language.isoen
dc.publisherOxford University Press (OUP): Policy P - Oxford Open Option A
dc.title.enThe exterior gravitational potential of toroids
dc.typeArticle de revue
dc.identifier.doi10.1093/mnras/staa980
dc.subject.halPhysique [physics]/Relativité Générale et Cosmologie Quantique [gr-qc]
dc.subject.halPhysique [physics]/Physique [physics]/Instrumentations et Détecteurs [physics.ins-det]
dc.subject.halPhysique [physics]/Physique [physics]/Physique Générale [physics.gen-ph]
dc.identifier.arxiv2005.08507
bordeaux.journalMonthly Notices of the Royal Astronomical Society
bordeaux.page5825-5838
bordeaux.volume494
bordeaux.issue4
bordeaux.peerReviewedoui
hal.identifierhal-02863090
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02863090v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Monthly%20Notices%20of%20the%20Royal%20Astronomical%20Society&rft.date=2020&rft.volume=494&rft.issue=4&rft.spage=5825-5838&rft.epage=5825-5838&rft.eissn=0035-8711&rft.issn=0035-8711&rft.au=HUR%C3%89,%20J.-M.&BASILLAIS,%20B.&KARAS,%20V.&TROVA,%20A.&SEMER%C3%81K,%20O.&rft.genre=article


Fichier(s) constituant ce document

FichiersTailleFormatVue

Il n'y a pas de fichiers associés à ce document.

Ce document figure dans la(les) collection(s) suivante(s)

Afficher la notice abrégée