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dc.contributor.authorLilley, Edwarden
dc.contributor.authorSanders, Jasonen
dc.contributor.authorEvans, Wynen
dc.date.accessioned2018-09-08T06:31:00Z
dc.date.available2018-09-08T06:31:00Z
dc.date.issued2018-07-21en
dc.identifier.issn0035-8711
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/279806
dc.description.abstractWe present a two-parameter family of biorthonormal double-power-law potential-density expansions. Both the potential and density are given in a closed analytic form and may be rapidly computed via recurrence relations. We show that this family encompasses all the known analytic biorthonormal expansions: the Zhao expansions (themselves generalizations of ones found earlier by Hernquist & Ostriker and by Clutton-Brock) and the recently discovered Lilley et al. expansion. Our new two-parameter family includes expansions based around many familiar spherical density profiles as zeroth-order models, including the γ models and the Jaffe model. It also contains a basis expansion that reproduces the famous Navarro–Frenk–White (NFW) profile at zeroth order. The new basis expansions have been found via a systematic methodology which has wide applications in finding other new expansions. In the process, we also uncovered a novel integral transform solution to Poisson’s equation.
dc.publisherOxford University Press
dc.rightsPublisher's own licence
dc.rights.uri
dc.titleA two-parameter family of double-power-law biorthonormal potential-density expansionsen
dc.typeArticle
prism.endingPage1291
prism.issueIdentifier1en
prism.publicationDate2018en
prism.publicationNameMonthly Notices of the Royal Astronomical Societyen
prism.startingPage1281
prism.volume478en
dc.identifier.doi10.17863/CAM.27176
dcterms.dateAccepted2018-04-21en
rioxxterms.versionofrecord10.1093/MNRAS/STY1038en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2018-07-21en
dc.contributor.orcidSanders, Jason [0000-0003-4593-6788]
dc.contributor.orcidEvans, Wyn [0000-0002-5981-7360]
dc.identifier.eissn1365-2966
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idSCIENCE & TECHNOLOGY FACILITIES COUNCIL (ST/N000927/1)
pubs.funder-project-idSTFC (1788901)


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