{"id":"https://openalex.org/W4285101554","doi":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31","title":"PROBLEMS OF EVOLUTION OF RIGID BODY MOTION SIMILAR TO LAGRANGE TOP","display_name":"PROBLEMS OF EVOLUTION OF RIGID BODY MOTION SIMILAR TO LAGRANGE TOP","publication_year":2022,"publication_date":"2022-06-01","ids":{"openalex":"https://openalex.org/W4285101554","doi":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31"},"language":"en","primary_location":{"id":"doi:10.31650/2618-0650-2022-4-1-23-31","doi":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31","is_oa":true,"landing_page_url":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31","pdf_url":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31","source":{"id":"https://openalex.org/S4210178008","display_name":"Mechanics And Mathematical Method","issn_l":"2618-0650","issn":["2618-0650","2664-1364"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanics And Mathematical Methods","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037691282","display_name":"Dmytro D. Leshchenko","orcid":"https://orcid.org/0000-0003-2436-221X","observed_orcids":["https://orcid.org/0000-0003-2436-221X"]},"institutions":[{"id":"https://openalex.org/I4210124679","display_name":"Odessa State Academy of Civil Engineering and Architecture","ror":"https://ror.org/02yt0ry35","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210124679"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"D. Leshchenko","raw_affiliation_strings":["Odesa state academy of civil engineering and architecture"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Odesa state academy of civil engineering and architecture","institution_ids":["https://openalex.org/I4210124679"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048675333","display_name":"\u0422. \u041aozachenko","orcid":"https://orcid.org/0000-0001-9034-3776","observed_orcids":["https://orcid.org/0000-0001-9034-3776"]},"institutions":[{"id":"https://openalex.org/I4210124679","display_name":"Odessa State Academy of Civil Engineering and Architecture","ror":"https://ror.org/02yt0ry35","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210124679"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"T. Kozachenko","raw_affiliation_strings":["Odesa state academy of civil engineering and architecture"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Odesa state academy of civil engineering and architecture","institution_ids":["https://openalex.org/I4210124679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210124679"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"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":null,"biblio":{"volume":"4","issue":"1","first_page":"23","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9663000106811523,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9663000106811523,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.015200000256299973,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.007300000172108412,"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/lagrange-top","display_name":"Lagrange top","score":0.9900000095367432},{"id":"https://openalex.org/keywords/perturbed-motion","display_name":"perturbed motion","score":0.7720000147819519},{"id":"https://openalex.org/keywords/restoring-torque","display_name":"restoring torque","score":0.7670000195503235},{"id":"https://openalex.org/keywords/aerodynamic-torque","display_name":"aerodynamic torque","score":0.7160000205039978},{"id":"https://openalex.org/keywords/method-of-averaging","display_name":"averaging method","score":0.6110000014305115},{"id":"https://openalex.org/keywords/nutation-angle","display_name":"nutation angle","score":0.8830000162124634},{"id":"https://openalex.org/keywords/asymptotic-methods","display_name":"asymptotic methods","score":0.6700000166893005},{"id":"https://openalex.org/keywords/gyroscope","display_name":"gyroscope","score":0.6570000052452087}],"concepts":[{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.7529751062393188},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.6452921628952026},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.575959324836731},{"id":"https://openalex.org/C144171764","wikidata":"https://www.wikidata.org/wiki/Q48103","display_name":"Torque","level":2,"score":0.5504157543182373},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5328049659729004},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5155467987060547},{"id":"https://openalex.org/C28461519","wikidata":"https://www.wikidata.org/wiki/Q2037529","display_name":"Rigid body dynamics","level":3,"score":0.5054562091827393},{"id":"https://openalex.org/C6342182","wikidata":"https://www.wikidata.org/wiki/Q2995427","display_name":"Rotation around a fixed axis","level":2,"score":0.47978073358535767},{"id":"https://openalex.org/C37025601","wikidata":"https://www.wikidata.org/wiki/Q20180599","display_name":"Nutation","level":2,"score":0.45807525515556335},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.4384346008300781},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.31650/2618-0650-2022-4-1-23-31","doi":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31","is_oa":true,"landing_page_url":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31","pdf_url":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31","source":{"id":"https://openalex.org/S4210178008","display_name":"Mechanics And Mathematical Method","issn_l":"2618-0650","issn":["2618-0650","2664-1364"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanics And Mathematical Methods","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.31650/2618-0650-2022-4-1-23-31","doi":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31","is_oa":true,"landing_page_url":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31","pdf_url":"https://doi.org/10.31650/2618-0650-2022-4-1-23-31","source":{"id":"https://openalex.org/S4210178008","display_name":"Mechanics And Mathematical Method","issn_l":"2618-0650","issn":["2618-0650","2664-1364"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mechanics And Mathematical Methods","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4285101554.pdf","grobid_xml":"https://content.openalex.org/works/W4285101554.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W186543051","https://openalex.org/W593592606","https://openalex.org/W999936232","https://openalex.org/W1569732292","https://openalex.org/W1579823358","https://openalex.org/W1818713431","https://openalex.org/W1967849484","https://openalex.org/W1980959622","https://openalex.org/W2057514368","https://openalex.org/W2118195650","https://openalex.org/W2481831653","https://openalex.org/W2503685833","https://openalex.org/W2527520575","https://openalex.org/W2606472445","https://openalex.org/W2611687342","https://openalex.org/W2738189645","https://openalex.org/W2757009804","https://openalex.org/W2904500754","https://openalex.org/W2911656434","https://openalex.org/W2980243391","https://openalex.org/W2989407389","https://openalex.org/W3004532816","https://openalex.org/W3033207314","https://openalex.org/W3037095096","https://openalex.org/W3048437591","https://openalex.org/W3085036468","https://openalex.org/W3124587882","https://openalex.org/W4206629962","https://openalex.org/W4246757432","https://openalex.org/W4248645118","https://openalex.org/W4297928956","https://openalex.org/W4387020887","https://openalex.org/W6616215856","https://openalex.org/W6727850300","https://openalex.org/W6822090359","https://openalex.org/W6963941205","https://openalex.org/W7005807674"],"related_works":["https://openalex.org/W4282567512","https://openalex.org/W6963941205","https://openalex.org/W7151989109","https://openalex.org/W3124587882","https://openalex.org/W2053566248","https://openalex.org/W2076291774","https://openalex.org/W7051657944","https://openalex.org/W3104497721","https://openalex.org/W2606585027","https://openalex.org/W2983347362"],"abstract_inverted_index":{"The":[0,164,195,219,296,340,356,403],"problem":[1],"of":[2,4,18,36,62,64,78,88,120,147,159,166,182,197,202,209,216,221,231,234,247,253,264,280,305,308,315,326,334,338,385,396,399,414,416,423],"evolution":[3,279],"the":[5,16,23,26,37,43,56,60,65,68,74,79,86,89,95,100,103,107,111,123,137,144,157,167,207,229,245,248,262,303,323,327,332,335,344,383,394,412],"rigid":[6,38,150,210,281,309,328,350,386],"body":[7,44,66,101,151,211,282,329,387],"rotations":[8],"about":[9,152,389],"a":[10,33,49,118,148,153,225,299,390],"fixed":[11,50,69,154,391],"point":[12,51,70,155,392],"continues":[13],"to":[14,47,53,85,110,136,192,204,244,271,277,292,302,312,349,353,363],"attract":[15],"attention":[17],"researches.":[19],"In":[20,40],"many":[21],"cases,":[22],"motion":[24,35,146,265,283,415],"in":[25,55,102,117,134,206,405,409],"Lagrange":[27,112,235,354],"case":[28,42],"can":[29,367],"be":[30,54,201,364,368],"regarded":[31],"as":[32,186,188],"generating":[34],"body.":[39,80],"this":[41,222,375,406],"is":[45,92,170,266,290,347,372,379,408],"assumed":[46],"have":[48,114,142],"and":[52,67,161,178,214,257,276,331,366,420],"gravitational":[57],"field,":[58],"with":[59,242,411],"center":[61],"mass":[63],"both":[71,322],"lying":[72],"on":[73,99,122,343,382],"dynamic":[75],"symmetry":[76],"axes":[77],"A":[81],"restoring":[82,138,162],"torque,":[83],"analogues":[84],"moment":[87],"gravity":[90],"forces,":[91],"created":[93],"by":[94,173],"aerodynamic":[96],"forces":[97],"acting":[98],"gas":[104],"flow.":[105],"Therefore,":[106],"motions,":[108],"close":[109],"case,":[113],"been":[115],"investigated":[116],"number":[119],"works":[121,141,199],"aircraft":[124],"dynamics,":[125,212],"where":[126],"various":[127,183,400],"perturbation":[128,160,180,313,397],"torques":[129,314,398],"were":[130],"taken":[131],"into":[132,175],"account":[133,176],"addition":[135],"torque.":[139],"Many":[140],"studied":[143,168],"rotational":[145],"heavy":[149],"under":[156,393],"action":[158],"torques.":[163],"correction":[165],"models":[169],"carried":[171],"out":[172],"taking":[174],"external":[177],"internal":[179],"factors":[181],"physical":[184,317,401],"nature":[185],"well":[187],"relevant":[189],"assumptions":[190],"according":[191],"unperturbed":[193],"motion.":[194],"results":[196,275],"reviewed":[198],"may":[200],"interest":[203],"specialists":[205],"field":[208],"gyroscopy,":[213],"applications":[215],"asymptotic":[217,336],"methods.":[218],"authors":[220,297],"papers":[223,320],"present":[224,298],"new":[226],"approach":[227,269,301,341],"for":[228,237],"investigation":[230],"perturbed":[232],"motions":[233,254,307],"top":[236],"perturbations":[238],"which":[239],"assumes":[240],"averaging":[241,345],"respect":[243],"phase":[246],"nutation":[249],"angle.":[250],"Nonlinear":[251],"equations":[252],"are":[255],"simplified":[256,285],"solved":[258],"explicitly,":[259],"so":[260],"that":[261,377],"description":[263],"obtained.":[267],"Asymptotic":[268],"permits":[270],"obtain":[272],"some":[273],"qualitative":[274],"describe":[278],"using":[284],"averaged":[286],"equations.":[287],"Thus":[288],"it":[289,371],"possible":[291],"avoid":[293],"numerical":[294],"integration.":[295],"unified":[300],"dynamics":[304,330,384],"angular":[306],"bodies":[310,351],"subject":[311],"different":[316],"nature.":[318,402],"These":[319],"contains":[321],"basic":[324],"foundations":[325],"application":[333],"method":[337],"averaging.":[339],"based":[342],"procedure":[346],"applicable":[348],"closed":[352],"gyroscope.":[355],"presented":[357],"brief":[358],"survey":[359,376],"does":[360],"not":[361],"purport":[362],"complete":[365],"expanded.":[369],"However,":[370],"clear":[373],"from":[374],"there":[378],"an":[380],"literature":[381],"moving":[388],"influence":[395],"research":[404],"area":[407],"connection":[410],"problems":[413],"flying":[417],"vehicles,":[418],"gyroscopes,":[419],"other":[421],"objects":[422],"modern":[424],"technology":[425]},"counts_by_year":[],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2022-07-14T00:00:00"}
