{"id":"https://openalex.org/W3174875390","doi":"https://doi.org/10.1093/mnras/stab1827","title":"Updated values of solar gravitational moments J2n using HMI helioseismic inference of internal rotation","display_name":"Updated values of solar gravitational moments J2n using HMI helioseismic inference of internal rotation","publication_year":2021,"publication_date":"2021-06-28","ids":{"openalex":"https://openalex.org/W3174875390","doi":"https://doi.org/10.1093/mnras/stab1827","mag":"3174875390"},"language":"en","primary_location":{"id":"doi:10.1093/mnras/stab1827","doi":"https://doi.org/10.1093/mnras/stab1827","is_oa":false,"landing_page_url":"https://doi.org/10.1093/mnras/stab1827","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","oarl","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","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2107.10575","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082613681","display_name":"Redouane Mecheri","orcid":"https://orcid.org/0000-0002-0470-4238","observed_orcids":["https://orcid.org/0000-0002-0470-4238"]},"institutions":[{"id":"https://openalex.org/I4210136201","display_name":"Centre de Recherche en Astronomie Astrophysique et G\u00e9ophysique","ror":"https://ror.org/03q098e53","country_code":"DZ","type":"facility","lineage":["https://openalex.org/I4210136201"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"R Mecheri","raw_affiliation_strings":["Centre de Recherche en Astronomie, Astrophysique et G\u00e9ophysique, CRAAG , BP 63, 16340 Bouzar\u00e9ah, Algiers, Algeria"],"raw_orcid":"https://orcid.org/0000-0002-0470-4238","affiliations":[{"raw_affiliation_string":"Centre de Recherche en Astronomie, Astrophysique et G\u00e9ophysique, CRAAG , BP 63, 16340 Bouzar\u00e9ah, Algiers, Algeria","institution_ids":["https://openalex.org/I4210136201"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023208092","display_name":"Mustapha Meftah","orcid":"https://orcid.org/0000-0001-8990-2526","observed_orcids":["https://orcid.org/0000-0001-8990-2526"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210154535","display_name":"Laboratoire atmosph\u00e8res, milieux, observations spatiales","ror":"https://ror.org/05ppf7q77","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I2799535048","https://openalex.org/I39804081","https://openalex.org/I4210154535"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"M Meftah","raw_affiliation_strings":["Laboratoire Atmosph\u00e8res, Milieux, Observations Spatiales (CNRS-LATMOS) , 11 Boulevard d\u2019Alembert, F-78280 Guyancourt, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire Atmosph\u00e8res, Milieux, Observations Spatiales (CNRS-LATMOS) , 11 Boulevard d\u2019Alembert, F-78280 Guyancourt, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210154535"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023208092","https://openalex.org/A5082613681"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210136201","https://openalex.org/I4210154535"],"apc_list":{"value":2167,"currency":"GBP","value_usd":3247},"apc_paid":null,"fwci":0.6049,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.60095616,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"506","issue":"2","first_page":"2671","last_page":"2676"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9496999979019165,"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/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9496999979019165,"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/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.035599999129772186,"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/T12836","display_name":"History and Developments in Astronomy","score":0.006599999964237213,"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/solar-internal-rotation","display_name":"solar internal rotation","score":0.7369999885559082},{"id":"https://openalex.org/keywords/helioseismology","display_name":"helioseismology","score":0.9470000267028809},{"id":"https://openalex.org/keywords/hmi","display_name":"HMI","score":0.503000020980835},{"id":"https://openalex.org/keywords/solar-cycle-24","display_name":"solar cycle 24","score":0.6499999761581421},{"id":"https://openalex.org/keywords/solar-cycle-23","display_name":"solar cycle 23","score":0.7059999704360962},{"id":"https://openalex.org/keywords/slowly-rotating-stars","display_name":"slowly rotating stars","score":0.6169999837875366},{"id":"https://openalex.org/keywords/integral-equations","display_name":"integral equations","score":0.6470000147819519},{"id":"https://openalex.org/keywords/solar-oblateness","display_name":"solar oblateness","score":0.9179999828338623},{"id":"https://openalex.org/keywords/perihelion-precession-of-mercury","display_name":"Mercury perihelion precession","score":0.8500000238418579},{"id":"https://openalex.org/keywords/solar-convection-zone","display_name":"solar convection zone","score":0.6420000195503235}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9558299779891968},{"id":"https://openalex.org/C106048912","wikidata":"https://www.wikidata.org/wiki/Q1068381","display_name":"Helioseismology","level":3,"score":0.7448791265487671},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.6036902070045471},{"id":"https://openalex.org/C39984356","wikidata":"https://www.wikidata.org/wiki/Q2121987","display_name":"Quadrupole","level":2,"score":0.5788134336471558},{"id":"https://openalex.org/C103962331","wikidata":"https://www.wikidata.org/wiki/Q1724743","display_name":"Solar rotation","level":3,"score":0.5047193765640259},{"id":"https://openalex.org/C103762249","wikidata":"https://www.wikidata.org/wiki/Q2719897","display_name":"Standard solar model","level":5,"score":0.48816972970962524},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.4390287399291992},{"id":"https://openalex.org/C9695528","wikidata":"https://www.wikidata.org/wiki/Q7556707","display_name":"Solar irradiance","level":2,"score":0.4364878535270691},{"id":"https://openalex.org/C133725777","wikidata":"https://www.wikidata.org/wiki/Q181505","display_name":"Astrometry","level":3,"score":0.4292660355567932},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.41742897033691406},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.3417588472366333},{"id":"https://openalex.org/C183682340","wikidata":"https://www.wikidata.org/wiki/Q2043698","display_name":"Solar physics","level":2,"score":0.3381046652793884},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"score":0.27197355031967163},{"id":"https://openalex.org/C5807566","wikidata":"https://www.wikidata.org/wiki/Q2216633","display_name":"Solar neutrino","level":4,"score":0.16162368655204773},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.1013912558555603},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0},{"id":"https://openalex.org/C107966497","wikidata":"https://www.wikidata.org/wiki/Q509021","display_name":"Neutrino oscillation","level":3,"score":0.0},{"id":"https://openalex.org/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1093/mnras/stab1827","doi":"https://doi.org/10.1093/mnras/stab1827","is_oa":false,"landing_page_url":"https://doi.org/10.1093/mnras/stab1827","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","oarl","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:2107.10575","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.10575","pdf_url":"https://arxiv.org/pdf/2107.10575","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":"pmh:oai:HAL:hal-03298817v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-03298817","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Monthly Notices of the Royal Astronomical Society, 2021, 506 (2), pp.2671-2676. &#x27E8;10.1093/mnras/stab1827&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2107.10575","doi":"https://doi.org/10.48550/arxiv.2107.10575","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2107.10575","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":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2107.10575","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2107.10575","pdf_url":"https://arxiv.org/pdf/2107.10575","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":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"},{"id":"https://openalex.org/F4320308507","display_name":"Stanford University","ror":"https://ror.org/00f54p054"},{"id":"https://openalex.org/F4320308980","display_name":"Entomological Society of America","ror":"https://ror.org/03awpb417"},{"id":"https://openalex.org/F4320310804","display_name":"University of Hawai'i","ror":"https://ror.org/03tzaeb71"},{"id":"https://openalex.org/F4320321519","display_name":"Centre National d\u2019Etudes Spatiales","ror":"https://ror.org/04h1h0y33"},{"id":"https://openalex.org/F4320334780","display_name":"Service Delivery and Organisation Programme","ror":"https://ror.org/0187kwz08"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3174875390.pdf","grobid_xml":"https://content.openalex.org/works/W3174875390.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W97314439","https://openalex.org/W1678656541","https://openalex.org/W1929224327","https://openalex.org/W1965337701","https://openalex.org/W1968076260","https://openalex.org/W1970293845","https://openalex.org/W1990762477","https://openalex.org/W1991330386","https://openalex.org/W1993541043","https://openalex.org/W1995691055","https://openalex.org/W1996839558","https://openalex.org/W1998846916","https://openalex.org/W2000209052","https://openalex.org/W2003179869","https://openalex.org/W2008534253","https://openalex.org/W2008706357","https://openalex.org/W2010245362","https://openalex.org/W2017631342","https://openalex.org/W2026497580","https://openalex.org/W2028179329","https://openalex.org/W2032108485","https://openalex.org/W2042337905","https://openalex.org/W2044462435","https://openalex.org/W2052982629","https://openalex.org/W2057859592","https://openalex.org/W2058188990","https://openalex.org/W2059912369","https://openalex.org/W2071072393","https://openalex.org/W2074707383","https://openalex.org/W2076497540","https://openalex.org/W2079329560","https://openalex.org/W2079947581","https://openalex.org/W2082614267","https://openalex.org/W2088365293","https://openalex.org/W2089007556","https://openalex.org/W2089606805","https://openalex.org/W2090484393","https://openalex.org/W2107495189","https://openalex.org/W2117602503","https://openalex.org/W2127855689","https://openalex.org/W2129218861","https://openalex.org/W2146492805","https://openalex.org/W2151431709","https://openalex.org/W2159369995","https://openalex.org/W2161480364","https://openalex.org/W2244680725","https://openalex.org/W2416249646","https://openalex.org/W2590904893","https://openalex.org/W2760717616","https://openalex.org/W2761489337","https://openalex.org/W2780585627","https://openalex.org/W2794434784","https://openalex.org/W2941851529","https://openalex.org/W2983628982","https://openalex.org/W2995598706","https://openalex.org/W3101355796","https://openalex.org/W4253805797"],"related_works":["https://openalex.org/W2089606805","https://openalex.org/W2117602503","https://openalex.org/W2088365293","https://openalex.org/W7098178798","https://openalex.org/W103353355","https://openalex.org/W2076497540","https://openalex.org/W2156823131","https://openalex.org/W2089007556","https://openalex.org/W2994435208","https://openalex.org/W2052982629"],"abstract_inverted_index":{"ABSTRACT":[0],"The":[1,164,197],"solar":[2,16,71,86,133,203],"gravitational":[3,18],"moments":[4,148],"J2n":[5,39,83],"are":[6,109],"important":[7],"astronomical":[8],"quantities":[9],"whose":[10],"precise":[11],"determination":[12],"is":[13,91,175,206],"relevant":[14],"for":[15,132],"physics,":[17],"theory":[19],"and":[20,24,47,63,89,123,155],"high":[21,189],"precision":[22,190],"astrometry,":[23],"celestial":[25],"mechanics.":[26],"Accordingly,":[27],"we":[28],"propose":[29],"in":[30,160,176],"the":[31,56,69,85,94,98,107,141,144,153,161,168,182,194,201,209,215],"present":[32],"work":[33],"to":[34,84,152],"calculate":[35],"new":[36],"values":[37],"of":[38,100,121,146,158,167,181,184,193,200],"(for":[40],"n":[41],"=":[42,173],"1,":[43],"2,":[44],"3,":[45],"4,":[46],"5)":[48],"using":[49,112],"recent":[50,179],"two-dimensional":[51],"rotation":[52,90,113,159],"rates":[53,114],"inferred":[54],"from":[55,93,116,188,217],"high-resolution":[57],"Solar":[58,122,221],"Dynamics":[59],"Observatory":[60,125],"/":[61,126],"Helioseismic":[62],"Magnetic":[64],"Imager":[65,129],"helioseismic":[66],"data":[67,131,192],"spanning":[68],"whole":[70],"activity":[72],"cycle":[73,134],"24.":[74],"To":[75],"this":[76],"aim,":[77],"a":[78,117],"general":[79],"integral":[80],"equation":[81],"relating":[82],"internal":[87],"density":[88],"derived":[92],"structure":[95],"equations":[96],"governing":[97],"equilibrium":[99],"slowly":[101],"rotating":[102],"stars.":[103],"For":[104],"comparison":[105],"purpose,":[106],"calculations":[108],"also":[110],"performed":[111],"obtained":[115],"recently":[118],"improved":[119],"analysis":[120],"Heliospheric":[124],"Michelson":[127],"Doppler":[128],"heliseismic":[130],"23.":[135],"In":[136],"agreement":[137],"with":[138,178,208],"earlier":[139],"findings,":[140],"results":[142],"confirmed":[143],"sensitivity":[145],"high-order":[147],"(n":[149,172],">":[150],"1)":[151,174],"radial":[154],"latitudinal":[156],"distribution":[157],"convective":[162],"zone.":[163],"computed":[165],"value":[166],"quadrupole":[169],"moment":[170],"J2":[171],"accordance":[177],"measurements":[180],"precession":[183],"Mercury\u2019s":[185],"perihelion":[186],"deduced":[187],"ranging":[191],"MESSENGER":[195],"spacecraft.":[196],"theoretical":[198],"estimate":[199],"related":[202],"oblateness":[204],"\u0394\u2299":[205],"consistent":[207],"most":[210],"accurate":[211],"space-based":[212],"determinations,":[213],"particularly":[214],"one":[216],"Reuven":[218],"Ramathy":[219],"High-Energy":[220],"Spectroscopic":[222],"Imager/Solar":[223],"Aspect":[224],"Sensor.":[225]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2021-07-05T00:00:00"}
