{"id":"https://openalex.org/W2169643113","doi":"https://doi.org/10.1143/ptp.98.1081","title":"Numerical Study on the Hydrodynamic Instability of Binary Stars in the First Post Newtonian Approximation of General Relativity","display_name":"Numerical Study on the Hydrodynamic Instability of Binary Stars in the First Post Newtonian Approximation of General Relativity","publication_year":1997,"publication_date":"1997-11-01","ids":{"openalex":"https://openalex.org/W2169643113","doi":"https://doi.org/10.1143/ptp.98.1081","mag":"2169643113"},"language":"en","primary_location":{"id":"doi:10.1143/ptp.98.1081","doi":"https://doi.org/10.1143/ptp.98.1081","is_oa":true,"landing_page_url":"https://doi.org/10.1143/ptp.98.1081","pdf_url":"https://academic.oup.com/ptp/article-pdf/98/5/1081/5257265/98-5-1081.pdf","source":{"id":"https://openalex.org/S83252788","display_name":"Progress of Theoretical Physics","issn_l":"0033-068X","issn":["0033-068X","1347-4081"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","norway-1"],"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":"Progress of Theoretical Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://academic.oup.com/ptp/article-pdf/98/5/1081/5257265/98-5-1081.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107857768","display_name":"M. Shibata","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"M. Shibata","raw_affiliation_strings":["Department of Earth and Space Science, Graduate School of Science Osaka University, Toyonaka 560"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Earth and Space Science, Graduate School of Science Osaka University, Toyonaka 560","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111555239","display_name":"K. Oohara","orcid":"https://orcid.org/0000-0002-7518-6677","observed_orcids":["https://orcid.org/0000-0002-7518-6677"]},"institutions":[{"id":"https://openalex.org/I71395657","display_name":"Niigata University","ror":"https://ror.org/04ww21r56","country_code":"JP","type":"education","lineage":["https://openalex.org/I71395657"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"K.-i. Oohara","raw_affiliation_strings":["Department of Physics, Niigata University, Niigata 950-21"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Niigata University, Niigata 950-21","institution_ids":["https://openalex.org/I71395657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006892153","display_name":"Takashi Nakamura","orcid":"https://orcid.org/0000-0002-1864-1143","observed_orcids":["https://orcid.org/0000-0002-1864-1143"]},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]},{"id":"https://openalex.org/I4399657944","display_name":"Yukawa Institute for Theoretical Physics","ror":"https://ror.org/0589kgd85","country_code":"JP","type":"facility","lineage":["https://openalex.org/I22299242","https://openalex.org/I4399657944"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"T. Nakamura","raw_affiliation_strings":["Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-01"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-01","institution_ids":["https://openalex.org/I22299242","https://openalex.org/I4399657944"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0336,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.8992764,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"98","issue":"5","first_page":"1081","last_page":"1098"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9970999956130981,"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/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9970999956130981,"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":0.0017000000225380063,"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":0.0003000000142492354,"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/binary-stars","display_name":"binary stars","score":0.718999981880188},{"id":"https://openalex.org/keywords/hydrodynamic-instability","display_name":"hydrodynamic instability","score":0.9340000152587891},{"id":"https://openalex.org/keywords/first-post-newtonian-approximation","display_name":"first post-Newtonian approximation","score":0.890999972820282},{"id":"https://openalex.org/keywords/general-relativity","display_name":"general relativity","score":0.925000011920929},{"id":"https://openalex.org/keywords/innermost-stable-circular-orbit","display_name":"innermost stable circular orbit","score":0.8870000243186951},{"id":"https://openalex.org/keywords/secular-instability","display_name":"secular instability","score":0.6389999985694885},{"id":"https://openalex.org/keywords/orbital-separation","display_name":"orbital separation","score":0.5529999732971191},{"id":"https://openalex.org/keywords/gravitational-waves","display_name":"gravitational waves","score":0.5809999704360962}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9514760971069336},{"id":"https://openalex.org/C155675718","wikidata":"https://www.wikidata.org/wiki/Q161254","display_name":"Angular momentum","level":2,"score":0.7111326456069946},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"score":0.5420786142349243},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5384160876274109},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5258287191390991},{"id":"https://openalex.org/C50488108","wikidata":"https://www.wikidata.org/wiki/Q618684","display_name":"Marginal stability","level":3,"score":0.5100856423377991},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.49741557240486145},{"id":"https://openalex.org/C193786831","wikidata":"https://www.wikidata.org/wiki/Q50053","display_name":"Binary star","level":3,"score":0.4412963092327118},{"id":"https://openalex.org/C5594486","wikidata":"https://www.wikidata.org/wiki/Q161635","display_name":"Angular velocity","level":2,"score":0.4264587461948395},{"id":"https://openalex.org/C45193367","wikidata":"https://www.wikidata.org/wiki/Q1141095","display_name":"Total angular momentum quantum number","level":3,"score":0.4186946153640747},{"id":"https://openalex.org/C44715290","wikidata":"https://www.wikidata.org/wiki/Q13012237","display_name":"Numerical relativity","level":3,"score":0.4182206988334656},{"id":"https://openalex.org/C109663097","wikidata":"https://www.wikidata.org/wiki/Q182453","display_name":"Adiabatic process","level":2,"score":0.41012051701545715},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.37831825017929077},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2545238137245178},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15195882320404053}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1143/ptp.98.1081","doi":"https://doi.org/10.1143/ptp.98.1081","is_oa":true,"landing_page_url":"https://doi.org/10.1143/ptp.98.1081","pdf_url":"https://academic.oup.com/ptp/article-pdf/98/5/1081/5257265/98-5-1081.pdf","source":{"id":"https://openalex.org/S83252788","display_name":"Progress of Theoretical Physics","issn_l":"0033-068X","issn":["0033-068X","1347-4081"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","norway-1"],"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":"Progress of Theoretical Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:gr-qc/9710023","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/gr-qc/9710023","pdf_url":"https://arxiv.org/pdf/gr-qc/9710023","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:CiteSeerX.psu:10.1.1.916.389","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.916.389","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ptp.oxfordjournals.org/content/98/5/1081.full.pdf","raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:335452","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/335452","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.48550/arxiv.gr-qc/9710023","doi":"https://doi.org/10.48550/arxiv.gr-qc/9710023","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.gr-qc/9710023","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":"doi:10.1143/ptp.98.1081","doi":"https://doi.org/10.1143/ptp.98.1081","is_oa":true,"landing_page_url":"https://doi.org/10.1143/ptp.98.1081","pdf_url":"https://academic.oup.com/ptp/article-pdf/98/5/1081/5257265/98-5-1081.pdf","source":{"id":"https://openalex.org/S83252788","display_name":"Progress of Theoretical Physics","issn_l":"0033-068X","issn":["0033-068X","1347-4081"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","norway-1"],"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":"Progress of Theoretical Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2169643113.pdf","grobid_xml":"https://content.openalex.org/works/W2169643113.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1979270702","https://openalex.org/W2049547224","https://openalex.org/W2068260932","https://openalex.org/W2498126760"],"related_works":["https://openalex.org/W7099264375","https://openalex.org/W1991826445","https://openalex.org/W7097888371","https://openalex.org/W1984798265","https://openalex.org/W2992479530","https://openalex.org/W2000788779","https://openalex.org/W2080553870","https://openalex.org/W2113503185","https://openalex.org/W1994250701","https://openalex.org/W7100472249"],"abstract_inverted_index":{"We":[0,22],"present":[1],"numerical":[2,54,131,150],"results":[3],"on":[4,56],"the":[5,13,27,45,68,77,82,89,99,102,110,120,123,136,140,144,155,163,172,177,183,190,197],"hydrodynamic":[6,28,137],"stability":[7,157],"of":[8,19,30,42,70,76,98,122,143,186,193],"coalescing":[9],"binary":[10,32,58,71,145],"stars":[11,33,59,72],"in":[12,34,60,171,176],"first":[14],"post":[15],"Newtonian":[16],"(1PN)":[17],"approximation":[18],"general":[20,187],"relativity.":[21],"pay":[23],"particular":[24],"attention":[25],"to":[26,118,160],"instability":[29,91,138],"corotating":[31,57,141],"equilibrium":[35,61],"states":[36],"assuming":[37],"a":[38,74],"stiff":[39],"polytropic":[40],"equation":[41],"state":[43],"with":[44,96],"adiabatic":[46],"constant":[47],"\u0393":[48],"=":[49],"3.":[50],"In":[51,115],"previous":[52],"1PN":[53,100,178,184],"studies":[55],"states,":[62],"it":[63],"was":[64],"found":[65,153],"that":[66,95,154,182],"along":[67,139],"sequence":[69],"as":[73],"function":[75],"orbital":[78,103],"separation,":[79],"they":[80],"have":[81],"energy":[83,164],"and/or":[84,165],"angular":[85,111,166,191],"momentum":[86,167],"minima":[87,168],"where":[88,135],"secular":[90],"sets":[92,146],"in,":[93],"and":[94,133],"increase":[97],"correction,":[101],"separation":[104],"at":[105,196],"this":[106,116],"minimum":[107],"decreases":[108],"while":[109],"velocity":[112],"there":[113],"increases.":[114],"paper,":[117],"determine":[119],"location":[121],"innermost":[124],"stable":[125],"circular":[126],"orbit":[127],"(ISCO),":[128],"we":[129,152],"perform":[130],"simulations":[132],"find":[134],"sequences":[142],"in.":[147],"From":[148],"these":[149],"results,":[151],"dynamical":[156],"limit":[158],"seems":[159],"exist":[161],"near":[162],"not":[169],"only":[170],"Newtonian,":[173],"but":[174],"also":[175],"cases.":[179],"This":[180],"means":[181],"effect":[185],"relativity":[188],"increases":[189],"frequency":[192],"gravitational":[194],"waves":[195],"ISCO.":[198]},"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2016-06-24T00:00:00"}