{"id":"https://openalex.org/W4402720095","doi":"https://doi.org/10.48550/arxiv.2408.05384","title":"Nonlinear Propagation of Non-Gaussian Uncertainties: Theory and\n Applications to Spacecraft Trajectory Design","display_name":"Nonlinear Propagation of Non-Gaussian Uncertainties: Theory and\n Applications to Spacecraft Trajectory Design","publication_year":2024,"publication_date":"2024-08-09","ids":{"openalex":"https://openalex.org/W4402720095","doi":"https://doi.org/10.48550/arxiv.2408.05384"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2408.05384","pdf_url":"http://arxiv.org/pdf/2408.05384","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"type":"preprint","type_crossref":"posted-content","indexed_in":["arxiv"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/2408.05384","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035900085","display_name":"Giacomo Acciarini","orcid":"https://orcid.org/0000-0001-8707-8940"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Acciarini, Giacomo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054647725","display_name":"Nicola Baresi","orcid":"https://orcid.org/0000-0003-4796-7369"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Baresi, Nicola","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083709387","display_name":"David Lloyd","orcid":"https://orcid.org/0000-0001-9714-3531"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lloyd, David","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5020258120","display_name":"Dario Izzo","orcid":"https://orcid.org/0000-0002-9846-8423"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Izzo, Dario","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":84},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12449","display_name":"Spacecraft Design and Technology","score":0.8537,"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/T12449","display_name":"Spacecraft Design and Technology","score":0.8537,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.8483,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.8235,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C29829512","wikidata":"https://www.wikidata.org/wiki/Q40218","display_name":"Spacecraft","level":2,"score":0.832116},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.72385216},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.68409526},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.56408817},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.53456295},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4176544},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41432297},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38471144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37874225},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.32030016},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.26338193},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.070372105},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06771672},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06437984},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2408.05384","pdf_url":"http://arxiv.org/pdf/2408.05384","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2408.05384","pdf_url":"http://arxiv.org/pdf/2408.05384","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4387655846","https://openalex.org/W4386105384","https://openalex.org/W4384162131","https://openalex.org/W4377236356","https://openalex.org/W2898860390","https://openalex.org/W2734340365","https://openalex.org/W2400737216","https://openalex.org/W2237025049","https://openalex.org/W2118489026","https://openalex.org/W2064999371"],"abstract_inverted_index":{"This":[0,51],"paper":[1],"presents":[2],"a":[3,60,91,130,136],"novel":[4],"approach":[5,33,108],"for":[6,116],"propagating":[7],"uncertainties":[8,120,183],"in":[9,109,160],"dynamical":[10],"systems":[11],"building":[12],"on":[13,29],"high-order":[14,44],"Taylor":[15,87],"expansions":[16],"of":[17,56,63,80,86,105,119,129,135,143,157],"the":[18,35,54,77,81,84,98,103,106,126,133,141,148,155,165,172],"flow":[19],"and":[20,39,65,74,167,171,188],"moment-generating":[21],"functions":[22],"(MGFs).":[23],"Unlike":[24],"prior":[25],"methods":[26,58],"that":[27,178],"focus":[28],"Gaussian":[30],"distributions,":[31],"our":[32,158],"leverages":[34],"relationship":[36],"between":[37],"MGFs":[38],"distribution":[40],"moments":[41],"to":[42,48,59,83],"extend":[43],"uncertainty":[45,66],"propagation":[46,118],"techniques":[47],"non-Gaussian":[49,182],"scenarios.":[50],"significantly":[52],"broadens":[53],"applicability":[55],"these":[57],"wider":[61],"range":[62],"problems":[64],"types.":[67],"High-order":[68],"moment":[69],"computations":[70],"are":[71],"performed":[72],"one-off":[73],"symbolically,":[75],"reducing":[76],"computational":[78],"burden":[79],"technique":[82],"calculation":[85],"series":[88],"coefficients":[89],"around":[90],"nominal":[92],"trajectory,":[93],"achieved":[94],"by":[95],"efficiently":[96],"integrating":[97],"system's":[99],"variational":[100],"equations.":[101],"Furthermore,":[102],"use":[104],"proposed":[107],"combination":[110],"with":[111],"event":[112,146,190],"transition":[113],"tensors,":[114],"allows":[115],"accurate":[117],"at":[121,185,189],"specific":[122],"events,":[123],"such":[124],"as":[125],"landing":[127],"surface":[128],"celestial":[131],"body,":[132],"crossing":[134],"predefined":[137],"Poincar\\'e":[138],"section,":[139],"or":[140],"trigger":[142],"an":[144],"arbitrary":[145],"during":[147],"propagation.":[149],"Via":[150],"numerical":[151],"simulations":[152],"we":[153],"demonstrate":[154],"effectiveness":[156],"method":[159],"various":[161],"astrodynamics":[162],"applications,":[163],"including":[164],"unperturbed":[166],"perturbed":[168],"two-body":[169],"problem,":[170,176],"circular":[173],"restricted":[174],"three-body":[175],"showing":[177],"it":[179],"accurately":[180],"propagates":[181],"both":[184],"future":[186],"times":[187],"manifolds.":[191]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4402720095","counts_by_year":[],"updated_date":"2024-12-15T14:00:19.874875","created_date":"2024-09-23"}