{"id":"https://openalex.org/W7214100871","doi":"https://doi.org/10.48550/arxiv.2609.26770","title":"Refining GLSDC for Orbit Determination","display_name":"Refining GLSDC for Orbit Determination","publication_year":2026,"publication_date":"2026-09-22","ids":{"openalex":"https://openalex.org/W7214100871","doi":"https://doi.org/10.48550/arxiv.2609.26770"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.26770","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26770","pdf_url":"https://arxiv.org/pdf/2609.26770","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/2609.26770","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152558346","display_name":"Abhijeet","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Abhijeet","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5098724369","display_name":"Raja Abhishek Appana","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Appana, Raja Abhishek","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073597636","display_name":"Mrinal Kumar","orcid":"https://orcid.org/0000-0001-9747-9449","observed_orcids":["https://orcid.org/0000-0001-9747-9449","https://orcid.org/0000-0002-6430-0219"]},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kumar, Mrinal","raw_affiliation_strings":["Department of Aerospace Engineering , Texas A& M University , College Station , TX 77843 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering , Texas A& M University , College Station , TX 77843 USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082295314","display_name":"Suman Chakravorty","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chakravorty, Suman","raw_affiliation_strings":["Chair of Aeronautics and Astronautics , Department of Mechanical and Aerospace Engineering . The Ohio State University , Columbus , OH 43210 USA Professor,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chair of Aeronautics and Astronautics , Department of Mechanical and Aerospace Engineering . The Ohio State University , Columbus , OH 43210 USA Professor,","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"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/T11701","display_name":"Space Satellite Systems and Control","score":0.8949999809265137,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11701","display_name":"Space Satellite Systems and Control","score":0.8949999809265137,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.0957999974489212,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10655","display_name":"GNSS positioning and interference","score":0.0038999998942017555,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/short-arc-orbit-determination","display_name":"short-arc orbit determination","score":0.8259999752044678},{"id":"https://openalex.org/keywords/molniya-orbit","display_name":"Molniya orbit","score":0.8769999742507935},{"id":"https://openalex.org/keywords/lambert-s-problem","display_name":"Lambert problem","score":0.5640000104904175},{"id":"https://openalex.org/keywords/hyperbolic-trajectories","display_name":"hyperbolic trajectories","score":0.7459999918937683},{"id":"https://openalex.org/keywords/nonlinear-least-squares","display_name":"nonlinear least squares","score":0.6330000162124634}],"concepts":[{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.6549999713897705},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.612500011920929},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47679999470710754},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4722999930381775},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.46230000257492065},{"id":"https://openalex.org/C107768556","wikidata":"https://www.wikidata.org/wiki/Q302660","display_name":"Orbit determination","level":3,"score":0.43869999051094055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42660000920295715},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4104999899864197},{"id":"https://openalex.org/C173990265","wikidata":"https://www.wikidata.org/wiki/Q2268240","display_name":"Elliptic orbit","level":2,"score":0.4088999927043915},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.38600000739097595},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3287000060081482},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.323199987411499},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.31459999084472656},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.3140000104904175},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.2922999858856201},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.2745000123977661}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.26770","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26770","pdf_url":"https://arxiv.org/pdf/2609.26770","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.2609.26770","doi":"https://doi.org/10.48550/arxiv.2609.26770","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.26770","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.26770","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26770","pdf_url":"https://arxiv.org/pdf/2609.26770","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":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214100871.pdf","grobid_xml":"https://content.openalex.org/works/W7214100871.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3044433272","https://openalex.org/W1607328161","https://openalex.org/W3094950711","https://openalex.org/W3004897826","https://openalex.org/W4410992062","https://openalex.org/W2736460447","https://openalex.org/W3018958343","https://openalex.org/W7164716593","https://openalex.org/W4391409491","https://openalex.org/W7016037111"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,49,69,101,117],"ambiguity":[4],"of":[5,62,97,169],"noisy":[6],"short-arc":[7,35,145],"angles-only":[8,146],"orbit":[9,84,147],"determination":[10,148],"for":[11],"a":[12,53,60,111,153],"Molniya-orbit":[13],"case":[14],"study.":[15],"Conventional":[16],"Gauss":[17],"Initial":[18],"Orbit":[19],"Determination":[20],"followed":[21],"by":[22],"Gaussian":[23],"Least-Squares":[24],"Differential":[25],"Correction":[26],"is":[27,57,149],"first":[28],"shown":[29],"to":[30,39,43,135],"be":[31,160],"unreliable":[32],"under":[33],"high-noise":[34],"conditions,":[36],"frequently":[37],"failing":[38],"converge":[40],"or":[41],"converging":[42],"hyperbolic":[44,94],"local":[45],"solutions.":[46,140],"To":[47],"explore":[48],"candidate":[50],"solution":[51,80],"space,":[52],"Lambert-based":[54],"initialization":[55],"procedure":[56],"used":[58],"over":[59],"grid":[61],"assumed":[63],"ranges":[64],"and":[65,68,93,156],"angular-observation":[66],"pairs,":[67],"resulting":[70],"states":[71],"are":[72,133],"refined":[73],"using":[74],"nonlinear":[75],"least-squares":[76],"optimization.":[77],"The":[78,108,141],"unconstrained":[79],"set":[81],"reveals":[82],"multiple":[83],"families,":[85],"including":[86],"reentry":[87],"elliptic,":[88,90,92],"bounded":[89,138],"xGEO":[91],"trajectories,":[95],"all":[96],"which":[98],"can":[99],"reproduce":[100],"observed":[102],"angular":[103,118],"arc":[104],"with":[105],"comparable":[106],"residuals.":[107],"solutions":[109],"exhibit":[110],"structured":[112],"range-velocity":[113],"relationship,":[114],"indicating":[115],"that":[116,144,157],"measurements":[119],"primarily":[120],"constrain":[121],"apparent":[122],"line-of-sight":[123],"motion":[124],"rather":[125,166],"than":[126,167],"absolute":[127],"range.":[128],"Finally,":[129],"physically":[130],"motivated":[131],"constraints":[132,158],"introduced":[134],"isolate":[136],"Molniya-like":[137],"elliptic":[139],"results":[142],"demonstrate":[143],"fundamentally":[150],"non-unique":[151],"without":[152],"priori":[154],"information":[155],"should":[159],"interpreted":[161],"as":[162],"orbit-family":[163],"selection":[164],"tools":[165],"proof":[168],"uniqueness.":[170]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-24T00:00:00"}