{"id":"https://openalex.org/W7224905987","doi":"https://doi.org/10.22541/essoar.15011340/v1","title":"Solar-System-Calibrated Geometric Upper Bound for Planetary Multiplicity and Inclination Correlation","display_name":"Solar-System-Calibrated Geometric Upper Bound for Planetary Multiplicity and Inclination Correlation","publication_year":2026,"publication_date":"2026-10-30","ids":{"openalex":"https://openalex.org/W7224905987","doi":"https://doi.org/10.22541/essoar.15011340/v1"},"language":"en","primary_location":{"id":"doi:10.22541/essoar.15011340/v1","doi":"https://doi.org/10.22541/essoar.15011340/v1","is_oa":true,"landing_page_url":"https://doi.org/10.22541/essoar.15011340/v1","pdf_url":"https://essopenarchive.org/doi/pdf/10.22541/essoar.15011340/v1","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://essopenarchive.org/doi/pdf/10.22541/essoar.15011340/v1","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066712758","display_name":"Shuai Sheng","orcid":"https://orcid.org/0009-0001-7054-8413","observed_orcids":["https://orcid.org/0009-0001-7054-8413"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shuai Sheng","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":"https://orcid.org/0009-0003-8856-722X","affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5066712758"],"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/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.9965999722480774,"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":0.9965999722480774,"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/T10325","display_name":"Astro and Planetary Science","score":0.0015999999595806003,"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/T10477","display_name":"Astrophysics and Star Formation Studies","score":0.0005000000237487257,"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/orbital-inclination","display_name":"orbital inclination","score":0.8180000185966492},{"id":"https://openalex.org/keywords/planet-formation","display_name":"planet formation","score":0.4830000102519989},{"id":"https://openalex.org/keywords/g-type-stars","display_name":"G-type stars","score":0.8360000252723694}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7893000245094299},{"id":"https://openalex.org/C100905312","wikidata":"https://www.wikidata.org/wiki/Q206717","display_name":"Planetary system","level":3,"score":0.5605999827384949},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4803999960422516},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.4586000144481659},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.4392000138759613},{"id":"https://openalex.org/C51244244","wikidata":"https://www.wikidata.org/wiki/Q634","display_name":"Planet","level":2,"score":0.43709999322891235},{"id":"https://openalex.org/C539450922","wikidata":"https://www.wikidata.org/wiki/Q544","display_name":"Solar System","level":2,"score":0.357699990272522},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.35440000891685486},{"id":"https://openalex.org/C2780118271","wikidata":"https://www.wikidata.org/wiki/Q21857994","display_name":"Giant planet","level":4,"score":0.34599998593330383},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.34299999475479126},{"id":"https://openalex.org/C97784730","wikidata":"https://www.wikidata.org/wiki/Q272626","display_name":"Orbital elements","level":2,"score":0.3422999978065491},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.33489999175071716},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.31209999322891235},{"id":"https://openalex.org/C27638517","wikidata":"https://www.wikidata.org/wiki/Q184274","display_name":"Celestial mechanics","level":2,"score":0.2971999943256378},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.2793000042438507},{"id":"https://openalex.org/C2780263841","wikidata":"https://www.wikidata.org/wiki/Q339","display_name":"Pluto","level":2,"score":0.2705000042915344},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.26489999890327454},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.2605000138282776},{"id":"https://openalex.org/C50488108","wikidata":"https://www.wikidata.org/wiki/Q618684","display_name":"Marginal stability","level":3,"score":0.2572000026702881},{"id":"https://openalex.org/C163479331","wikidata":"https://www.wikidata.org/wiki/Q44559","display_name":"Exoplanet","level":3,"score":0.25619998574256897},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.25540000200271606}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.22541/essoar.15011340/v1","doi":"https://doi.org/10.22541/essoar.15011340/v1","is_oa":true,"landing_page_url":"https://doi.org/10.22541/essoar.15011340/v1","pdf_url":"https://essopenarchive.org/doi/pdf/10.22541/essoar.15011340/v1","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.22541/essoar.15011340/v1","doi":"https://doi.org/10.22541/essoar.15011340/v1","is_oa":true,"landing_page_url":"https://doi.org/10.22541/essoar.15011340/v1","pdf_url":"https://essopenarchive.org/doi/pdf/10.22541/essoar.15011340/v1","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224905987.pdf","grobid_xml":"https://content.openalex.org/works/W7224905987.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W7171770108","https://openalex.org/W7221182973"],"related_works":["https://openalex.org/W2950249665","https://openalex.org/W3098318514","https://openalex.org/W2977476327","https://openalex.org/W2116705732","https://openalex.org/W2531580677","https://openalex.org/W2061721917","https://openalex.org/W3093836978","https://openalex.org/W1576947579","https://openalex.org/W2057760516","https://openalex.org/W2601430140"],"abstract_inverted_index":{"Conventional":[0],"planetary":[1,5,32,42,178],"formation":[2],"theory":[3],"attributes":[4],"multiplicity":[6,82,156],"primarily":[7],"to":[8,36,114,161],"primordial":[9],"nebula":[10,68],"mass,":[11],"initial":[12],"density":[13],"fluctuations,":[14],"and":[15,34,44,181,206],"stochastic":[16],"collisional":[17],"accretion":[18],"history.":[19],"Such":[20],"material-determined":[21],"paradigms":[22],"cannot":[23],"provide":[24],"a":[25,74,99,183],"strict":[26],"upper":[27,76,96,155],"limit":[28,97],"for":[29,78,189],"long-term":[30],"stable":[31,79,117,125,154],"systems":[33,57],"fail":[35],"yield":[37],"deterministic":[38],"statistical":[39,197],"correlations":[40],"between":[41],"number":[43],"orbital":[45,129],"architecture":[46],"(Winn":[47],"&":[48],"Fabrycky,":[49],"2015).":[50],"Under":[51],"the":[52,85,89,106,109,115,152,168,172,190,207],"continuous-medium":[53],"dynamical":[54],"framework,":[55],"stellar":[56,90],"are":[58],"governed":[59],"by":[60,84,105],"background":[61,91],"potential":[62,92],"gradient":[63],"cascading":[64],"locking":[65,111,118],"rather":[66],"than":[67],"material":[69],"abundance.":[70],"This":[71,196],"study":[72],"derives":[73],"geometric":[75],"bound":[77],"major":[80,134,163],"planet":[81,135],"controlled":[83],"perturbation-bearing":[86],"capacity":[87],"of":[88,108,171,192],"field.":[93],"The":[94],"theoretical":[95,153],"follows":[98],"base-2":[100],"logarithmic":[101],"scaling":[102],"relation":[103],"determined":[104],"ratio":[107],"outer":[110],"cutoff":[112],"radius":[113],"inner":[116],"radius.":[119],"A":[120],"paradigm-exclusive":[121],"falsifiable":[122],"prediction:":[123],"within":[124],"limits,":[126],"system-averaged":[127],"mutual":[128],"inclination":[130],"increases":[131],"monotonically":[132],"with":[133,148,201],"number,":[136],"originating":[137],"from":[138],"cumulative":[139],"secondary":[140],"perturbation":[141],"distortion.":[142],"For":[143],"Solar-like":[144],"G-type":[145],"stars,":[146],"calibrated":[147],"observed":[149],"boundary":[150],"parameters,":[151],"range":[157],"is":[158,199],"approximately":[159],"8":[160],"10":[162],"planets.":[164],"We":[165],"further":[166],"discuss":[167],"physical":[169],"implications":[170],"radial":[173],"thermodynamic":[174],"gradient,":[175],"which":[176],"dictates":[177],"compositional":[179],"zonation":[180],"establishes":[182],"narrow":[184],"rocky":[185],"habitability":[186],"window":[187],"essential":[188],"emergence":[191],"complex":[193],"dissipative":[194],"structures.":[195],"signature":[198],"testable":[200],"PLATO,":[202],"extended":[203],"TESS":[204],"catalogs,":[205],"Vera":[208],"C.":[209],"Rubin":[210],"Observatory.":[211]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-10-31T00:00:00"}
