{"id":"https://openalex.org/W2110010704","doi":"https://doi.org/10.1111/j.1365-2966.2012.21757.x","title":"Actions for axisymmetric potentials","display_name":"Actions for axisymmetric potentials","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W2110010704","doi":"https://doi.org/10.1111/j.1365-2966.2012.21757.x","mag":"2110010704"},"language":"en","primary_location":{"id":"doi:10.1111/j.1365-2966.2012.21757.x","doi":"https://doi.org/10.1111/j.1365-2966.2012.21757.x","is_oa":false,"landing_page_url":"https://doi.org/10.1111/j.1365-2966.2012.21757.x","pdf_url":null,"source":{"id":"https://openalex.org/S195663288","display_name":"Monthly Notices of the Royal Astronomical Society","issn_l":"0035-8711","issn":["0035-8711","1365-2966","1365-8711"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-a","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monthly Notices of the Royal Astronomical Society","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1207.4910","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"James Binney","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"James Binney","raw_affiliation_strings":["Rudolf Peierls Centre for Theoretical Physics; Keble Road; Oxford; OX1 3NP"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rudolf Peierls Centre for Theoretical Physics; Keble Road; Oxford; OX1 3NP","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":{"value":2310,"currency":"GBP","value_usd":3046},"apc_paid":null,"fwci":7.6187,"has_fulltext":false,"cited_by_count":262,"citation_normalized_percentile":{"value":0.97537606,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"426","issue":"2","first_page":"1324","last_page":"1327"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.9624000191688538,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.9624000191688538,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10026","display_name":"Galaxies: Formation, Evolution, Phenomena","score":0.02810000069439411,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10744","display_name":"Astrophysical Phenomena and Observations","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/action-angle-variables","display_name":"action-angle variables","score":0.6919999718666077},{"id":"https://openalex.org/keywords/axisymmetric-potential","display_name":"axisymmetric potential","score":0.9200000166893005},{"id":"https://openalex.org/keywords/stellar-orbits","display_name":"stellar orbits","score":0.718999981880188},{"id":"https://openalex.org/keywords/galactic-potential","display_name":"Galactic potential","score":0.7620000243186951},{"id":"https://openalex.org/keywords/distribution-function","display_name":"distribution function","score":0.7279999852180481},{"id":"https://openalex.org/keywords/velocity-moments","display_name":"velocity moments","score":0.8149999976158142},{"id":"https://openalex.org/keywords/orbit-integration","display_name":"orbit integration","score":0.546999990940094},{"id":"https://openalex.org/keywords/interpolation-methods","display_name":"interpolation methods","score":0.37400001287460327}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9509999752044678},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.8237000107765198},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7285000085830688},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.6693999767303467},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5418999791145325},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"score":0.5286999940872192},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5224000215530396},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4050999879837036},{"id":"https://openalex.org/C194286251","wikidata":"https://www.wikidata.org/wiki/Q5157302","display_name":"Computational astrophysics","level":2,"score":0.3538999855518341},{"id":"https://openalex.org/C134222618","wikidata":"https://www.wikidata.org/wiki/Q2713132","display_name":"Mass distribution","level":3,"score":0.32359999418258667},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.3174999952316284},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.31209999322891235},{"id":"https://openalex.org/C27638517","wikidata":"https://www.wikidata.org/wiki/Q184274","display_name":"Celestial mechanics","level":2,"score":0.30059999227523804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2896000146865845},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.2793000042438507},{"id":"https://openalex.org/C41074950","wikidata":"https://www.wikidata.org/wiki/Q240105","display_name":"Radial velocity","level":3,"score":0.2770000100135803},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.2720000147819519},{"id":"https://openalex.org/C59108619","wikidata":"https://www.wikidata.org/wiki/Q2261398","display_name":"Circular orbit","level":2,"score":0.26499998569488525},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2583000063896179},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.2540999948978424}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1111/j.1365-2966.2012.21757.x","doi":"https://doi.org/10.1111/j.1365-2966.2012.21757.x","is_oa":false,"landing_page_url":"https://doi.org/10.1111/j.1365-2966.2012.21757.x","pdf_url":null,"source":{"id":"https://openalex.org/S195663288","display_name":"Monthly Notices of the Royal Astronomical Society","issn_l":"0035-8711","issn":["0035-8711","1365-2966","1365-8711"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-a","jufo-2","ki-jl-1","norway-1","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monthly Notices of the Royal Astronomical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1207.4910","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1207.4910","pdf_url":"https://arxiv.org/pdf/1207.4910","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1207.4910","doi":"https://doi.org/10.48550/arxiv.1207.4910","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1207.4910","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1207.4910","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1207.4910","pdf_url":"https://arxiv.org/pdf/1207.4910","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G18152376","display_name":null,"funder_award_id":"ST/J00149X/1","funder_id":"https://openalex.org/F4320334632","funder_display_name":"Science and Technology Facilities Council"},{"id":"https://openalex.org/G3211719080","display_name":null,"funder_award_id":"PP/D001242/1","funder_id":"https://openalex.org/F4320334632","funder_display_name":"Science and Technology Facilities Council"},{"id":"https://openalex.org/G8393625025","display_name":null,"funder_award_id":"ST/G002479/1","funder_id":"https://openalex.org/F4320334632","funder_display_name":"Science and Technology Facilities Council"}],"funders":[{"id":"https://openalex.org/F4320334632","display_name":"Science and Technology Facilities Council","ror":"https://ror.org/057g20z61"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1631788275","https://openalex.org/W1753154117","https://openalex.org/W1940488163","https://openalex.org/W1965282103","https://openalex.org/W1994006347","https://openalex.org/W2030587007","https://openalex.org/W2040732663","https://openalex.org/W2133767838","https://openalex.org/W2148916155","https://openalex.org/W2151061601","https://openalex.org/W2165652806"],"related_works":[],"abstract_inverted_index":{"We":[0,17,54],"give":[1],"an":[2],"algorithm":[3,20],"for":[4,12,36,58],"the":[5,19,29,42,45,69],"economical":[6],"calculation":[7],"of":[8,28,39,71],"angles":[9],"and":[10,32,78],"actions":[11,46,60],"stars":[13],"in":[14,24,44],"axisymmetric":[15],"potentials.":[16],"test":[18],"by":[21,61],"integrating":[22],"orbits":[23,37],"a":[25,56,82],"realistic":[26],"model":[27],"Galactic":[30],"potential,":[31],"find":[33],"that,":[34],"even":[35],"characteristic":[38],"thick-disc":[40],"stars,":[41],"errors":[43],"are":[47],"typically":[48],"smaller":[49],"than":[50],"2":[51],"per":[52],"cent.":[53],"describe":[55],"scheme":[57],"obtaining":[59],"interpolation":[62],"on":[63],"tabulated":[64],"values":[65],"that":[66],"significantly":[67],"accelerates":[68],"process":[70],"calculating":[72],"observables":[73],"quantities,":[74],"such":[75],"as":[76],"density":[77],"velocity":[79],"moments,":[80],"from":[81],"distribution":[83],"function.":[84]},"counts_by_year":[{"year":2026,"cited_by_count":20},{"year":2025,"cited_by_count":22},{"year":2024,"cited_by_count":23},{"year":2023,"cited_by_count":23},{"year":2022,"cited_by_count":28},{"year":2021,"cited_by_count":28},{"year":2020,"cited_by_count":22},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":24},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":9}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}