{"id":"https://openalex.org/W7222080495","doi":"https://doi.org/10.48550/arxiv.2610.20594","title":"Constraining the Progenitor Orbits of Sequential Black-Hole Mergers in Hierarchical Triples: Peters-Based Estimates","display_name":"Constraining the Progenitor Orbits of Sequential Black-Hole Mergers in Hierarchical Triples: Peters-Based Estimates","publication_year":2026,"publication_date":"2026-10-14","ids":{"openalex":"https://openalex.org/W7222080495","doi":"https://doi.org/10.48550/arxiv.2610.20594"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.20594","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.20594","pdf_url":"https://arxiv.org/pdf/2610.20594","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.20594","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093356332","display_name":"Felix M. Heinze","orcid":"https://orcid.org/0009-0005-2715-1751","observed_orcids":["https://orcid.org/0009-0005-2715-1751"]},"institutions":[{"id":"https://openalex.org/I76198965","display_name":"Friedrich Schiller University Jena","ror":"https://ror.org/05qpz1x62","country_code":"DE","type":"education","lineage":["https://openalex.org/I76198965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Heinze, Felix M.","raw_affiliation_strings":["Friedrich-Schiller-Universit\u00e4t Jena , Theoretisch Physikalisches Institut , 07743 Jena , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Friedrich-Schiller-Universit\u00e4t Jena , Theoretisch Physikalisches Institut , 07743 Jena , Germany","institution_ids":["https://openalex.org/I76198965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5158820442","display_name":"Zhoujian Cao","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cao, Zhoujian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10463","display_name":"Pulsars and Gravitational Waves Research","score":0.9994999766349792,"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":0.9994999766349792,"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":9.999999747378752e-05,"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":0.0,"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/gw190521","display_name":"GW190521","score":0.9990000128746033},{"id":"https://openalex.org/keywords/eccentricity","display_name":"eccentricity","score":0.42800000309944153}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6251000165939331},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5741000175476074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4909000098705292},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4519999921321869},{"id":"https://openalex.org/C2776668124","wikidata":"https://www.wikidata.org/wiki/Q749601","display_name":"Recoil","level":2,"score":0.4496000111103058},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44859999418258667},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.4456000030040741},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.444599986076355},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4381999969482422},{"id":"https://openalex.org/C190538878","wikidata":"https://www.wikidata.org/wiki/Q50013","display_name":"Eccentricity (behavior)","level":2,"score":0.4203999936580658},{"id":"https://openalex.org/C97784730","wikidata":"https://www.wikidata.org/wiki/Q272626","display_name":"Orbital elements","level":2,"score":0.382999986410141},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.32829999923706055},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.2953999936580658},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.2827000021934509},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.2709999978542328},{"id":"https://openalex.org/C2776673561","wikidata":"https://www.wikidata.org/wiki/Q655357","display_name":"Atlas (anatomy)","level":2,"score":0.2587999999523163}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.20594","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.20594","pdf_url":"https://arxiv.org/pdf/2610.20594","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.2610.20594","doi":"https://doi.org/10.48550/arxiv.2610.20594","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.20594","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.20594","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.20594","pdf_url":"https://arxiv.org/pdf/2610.20594","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":[{"id":"https://openalex.org/G1797635438","display_name":null,"funder_award_id":"RTG 2522/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G3890708636","display_name":"GRK 2522: Starke Dynamik und Kritikalit\u00e4t in Quanten und Gravitationssystemen","funder_award_id":"406116891","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320875","display_name":"Deutscher Akademischer Austauschdienst","ror":"https://ror.org/039djdh30"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7222080495.pdf","grobid_xml":"https://content.openalex.org/works/W7222080495.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W1838270195","https://openalex.org/W1947740155","https://openalex.org/W1949303562","https://openalex.org/W2028815006","https://openalex.org/W2050444070","https://openalex.org/W2050577924","https://openalex.org/W2073056319","https://openalex.org/W2171252014","https://openalex.org/W2200601985","https://openalex.org/W2245922284","https://openalex.org/W2309338676","https://openalex.org/W2337242038","https://openalex.org/W2427047105","https://openalex.org/W2434803014","https://openalex.org/W2513472193","https://openalex.org/W2518561259","https://openalex.org/W2611817759","https://openalex.org/W2753120780","https://openalex.org/W2803024737","https://openalex.org/W2807707076","https://openalex.org/W2914010727","https://openalex.org/W2982457586","https://openalex.org/W2988898244","https://openalex.org/W3004118130","https://openalex.org/W3008325845","https://openalex.org/W3021287712","https://openalex.org/W3037973268","https://openalex.org/W3044304895","https://openalex.org/W3084280369","https://openalex.org/W3087076754","https://openalex.org/W3087743591","https://openalex.org/W3087903429","https://openalex.org/W3101016725","https://openalex.org/W3153656148","https://openalex.org/W3161363993","https://openalex.org/W3166272850","https://openalex.org/W4205154476","https://openalex.org/W4214908245","https://openalex.org/W4284971352","https://openalex.org/W4307657095","https://openalex.org/W4309218851","https://openalex.org/W4310488861","https://openalex.org/W4310659695","https://openalex.org/W4378214090","https://openalex.org/W4388328107","https://openalex.org/W4390103593","https://openalex.org/W4390605189","https://openalex.org/W4390654733","https://openalex.org/W4403422610","https://openalex.org/W4403683670","https://openalex.org/W4409129017","https://openalex.org/W4410207646","https://openalex.org/W4411228366","https://openalex.org/W4416352768","https://openalex.org/W6966933397","https://openalex.org/W7128403654"],"related_works":["https://openalex.org/W4411864870","https://openalex.org/W3087743591","https://openalex.org/W4394596536","https://openalex.org/W4401670621","https://openalex.org/W7214665420","https://openalex.org/W3125259969","https://openalex.org/W7204439830","https://openalex.org/W98735572","https://openalex.org/W3214073961","https://openalex.org/W3101016725"],"abstract_inverted_index":{"Two":[0],"black-hole":[1,13,101],"merger":[2,27,124],"events":[3,125],"may":[4],"originate":[5],"from":[6,122],"sequential":[7],"mergers":[8,181],"in":[9,183],"a":[10,31,46,57,62,113,135,139,211,222],"pre-existing":[11],"hierarchical":[12,180],"triple":[14],"if":[15],"their":[16],"spatial":[17],"localizations":[18],"overlap":[19],"and":[20,54,109,144,154,199,220],"the":[21,25,35,40,52,66,73,77,89,93,96,100,103,107,110,123,129,146,150,158,170,184,194,201,204],"remnant":[22,47],"mass":[23,33],"of":[24,34,76,92,141,203],"first":[26,94,214],"is":[28],"compatible":[29],"with":[30],"component":[32],"second.":[36],"In":[37],"this":[38],"scenario,":[39],"inner":[41],"binary":[42,79],"merges":[43],"first,":[44],"leaving":[45],"that":[48,118],"remains":[49],"bound":[50,87,168],"to":[51,64,196],"tertiary":[53],"subsequently":[55],"undergoes":[56],"second":[58],"merger.":[59],"We":[60,127,188],"present":[61],"method":[63,97,151,195],"constrain":[65],"progenitor":[67,159],"triple's":[68,160],"outer":[69,161],"orbit":[70],"by":[71,133],"modeling":[72],"gravitational-wave-driven":[74],"evolution":[75],"remnant-tertiary":[78],"using":[80],"Peters'":[81],"equations.":[82],"Given":[83],"an":[84,166],"assumed":[85],"upper":[86,167],"on":[88,157,169],"recoil":[90],"velocity":[91],"merger,":[95],"requires":[98],"only":[99],"masses,":[102],"time":[104],"delay":[105],"between":[106],"mergers,":[108],"eccentricity":[111],"at":[112],"reference":[114],"frequency":[115],"-":[116],"quantities":[117],"can":[119],"be":[120],"inferred":[121],"themselves.":[126],"investigate":[128],"potential":[130],"constraining":[131],"power":[132],"constructing":[134],"constraint":[136],"atlas":[137],"spanning":[138],"range":[140],"system":[142],"properties":[143],"identify":[145],"conditions":[147],"under":[148],"which":[149],"places":[152],"tight":[153],"reliable":[155],"bounds":[156],"orbital":[162],"parameters.":[163],"By":[164],"imposing":[165],"detector-band":[171],"eccentricity,":[172],"we":[173],"also":[174],"obtain":[175],"meaningful":[176],"constraints":[177],"for":[178,192,224],"candidate":[179],"proposed":[182],"literature,":[185],"including":[186],"GW190514-GW190521.":[187],"provide":[189],"numerical":[190],"tools":[191],"applying":[193],"user-specified":[197],"systems":[198],"evaluating":[200],"reliability":[202],"resulting":[205],"Peters-based":[206],"constraints.":[207],"This":[208],"framework":[209],"offers":[210],"computationally":[212],"inexpensive":[213],"step":[215],"toward":[216],"reconstructing":[217],"hierarchical-merger":[218],"progenitors":[219],"provides":[221],"foundation":[223],"extensions":[225],"incorporating":[226],"more":[227],"sophisticated":[228],"relativistic":[229],"treatments.":[230]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-16T00:00:00"}
