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dc.contributor.authorLilley, Edward
dc.contributor.authorSanders, Jason
dc.contributor.authorEvans, Wyn
dc.date.accessioned2018-09-08T06:31:00Z
dc.date.available2018-09-08T06:31:00Z
dc.date.issued2018-07
dc.identifier.issn0035-8711
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/279806
dc.description.abstractBiorthonormal basis function expansions are widely used in galactic dynamics, both to study problems in galactic stability and to provide numerical algorithms to evolve collisionless stellar systems. They also provide a compact and efficient description of the structure of numerical dark matter haloes in cosmological simulations. We present a two-parameter family of biorthonormal double-power-law potential-density expansions. Both the potential and density are given in 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, Sanders, Evans & Erkal expansion. Our new two-parameter family includes expansions based around many familiar spherical density profiles as zeroth-order models, including the $\gamma$ 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 further examples. In the process, we also uncovered a novel integral transform solution to Poisson's equation.
dc.publisherOxford University Press (OUP)
dc.rightsPublisher's own licence
dc.titleA two-parameter family of double-power-law biorthonormal potential-density expansions
dc.typeArticle
prism.endingPage1291
prism.issueIdentifier1
prism.publicationDate2018
prism.publicationNameMonthly Notices of the Royal Astronomical Society
prism.startingPage1281
prism.volume478
dc.identifier.doi10.17863/CAM.27176
dcterms.dateAccepted2018-04-21
rioxxterms.versionofrecord10.1093/MNRAS/STY1038
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2018-07-21
dc.contributor.orcidSanders, Jason [0000-0003-4593-6788]
dc.contributor.orcidEvans, Wyn [0000-0002-5981-7360]
dc.identifier.eissn1365-2966
dc.publisher.urlhttp://dx.doi.org/10.1093/mnras/sty1038
rioxxterms.typeJournal Article/Review
pubs.funder-project-idScience and Technology Facilities Council (ST/N000927/1)
pubs.funder-project-idScience and Technology Facilities Council (1788901)
cam.issuedOnline2018-05-11


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