{"id":"https://openalex.org/W4324123740","doi":"https://doi.org/10.21638/spbu01.2023.113","title":"Isosceles tetrahedron and an equimomental system of a rigid body","display_name":"Isosceles tetrahedron and an equimomental system of a rigid body","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4324123740","doi":"https://doi.org/10.21638/spbu01.2023.113"},"language":"en","primary_location":{"id":"doi:10.21638/spbu01.2023.113","doi":"https://doi.org/10.21638/spbu01.2023.113","is_oa":true,"landing_page_url":"http://dx.doi.org/10.21638/spbu01.2023.113","pdf_url":"https://math-mech-astr-journal.spbu.ru/article/download/15501/10421","source":{"id":"https://openalex.org/S4210218253","display_name":"Vestnik of Saint Petersburg University Mathematics Mechanics Astronomy","issn_l":"1025-3106","issn":["1025-3106","2587-5884"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W4324123740"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://math-mech-astr-journal.spbu.ru/article/download/15501/10421","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046884913","display_name":"Ekaterina A. Nikonova","orcid":"https://orcid.org/0000-0001-7274-8120","observed_orcids":["https://orcid.org/0000-0001-7274-8120"]},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210092286","display_name":"Institute of Informatics Problems","ror":"https://ror.org/00n8bqs64","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210092286"]},{"id":"https://openalex.org/I4405258151","display_name":"Federal Research Center \u201cComputer Science and Control\u201d of the Russian Academy of Sciences","ror":"https://ror.org/006wm7015","country_code":"RU","type":"government","lineage":["https://openalex.org/I4405258151"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Ekaterina A. Nikonova","raw_affiliation_strings":["\u0424\u0435\u0434\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440 \u00ab\u0418\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435\u00bb \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u043e\u0439 \u0430\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u043d\u0430\u0443\u043a, \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u0430\u044f \u0424\u0435\u0434\u0435\u0440\u0430\u0446\u0438\u044f, 119333, \u041c\u043e\u0441\u043a\u0432\u0430, \u0443\u043b. \u0412\u0430\u0432\u0438\u043b\u043e\u0432\u0430, 44/2"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u0424\u0435\u0434\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440 \u00ab\u0418\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430 \u0438 \u0443\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u0435\u00bb \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u043e\u0439 \u0430\u043a\u0430\u0434\u0435\u043c\u0438\u0438 \u043d\u0430\u0443\u043a, \u0420\u043e\u0441\u0441\u0438\u0439\u0441\u043a\u0430\u044f \u0424\u0435\u0434\u0435\u0440\u0430\u0446\u0438\u044f, 119333, \u041c\u043e\u0441\u043a\u0432\u0430, \u0443\u043b. \u0412\u0430\u0432\u0438\u043b\u043e\u0432\u0430, 44/2","institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210092286","https://openalex.org/I4405258151"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046884913"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210092286","https://openalex.org/I4405258151"],"apc_list":null,"apc_paid":null,"fwci":0.2602,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.41442355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"10","issue":"1","first_page":"155","last_page":"164"},"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":0.420199990272522,"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":0.420199990272522,"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/T12504","display_name":"Mathematics and Applications","score":0.1477999985218048,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11082","display_name":"Spacecraft Dynamics and Control","score":0.052400000393390656,"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/rigid-bodies","display_name":"rigid bodies","score":0.7070000171661377},{"id":"https://openalex.org/keywords/equal-masses","display_name":"equal masses","score":0.44600000977516174},{"id":"https://openalex.org/keywords/material-point","display_name":"material point","score":0.574999988079071},{"id":"https://openalex.org/keywords/cometary-nucleus","display_name":"cometary nucleus","score":0.6840000152587891},{"id":"https://openalex.org/keywords/comet-67p-churyumov-gerasimenko","display_name":"comet 67P/Churyumov-Gerasimenko","score":0.9539999961853027},{"id":"https://openalex.org/keywords/moment-of-inertia","display_name":"moment of inertia","score":0.609000027179718}],"concepts":[{"id":"https://openalex.org/C98653994","wikidata":"https://www.wikidata.org/wiki/Q875937","display_name":"Isosceles triangle","level":2,"score":0.9854438900947571},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.9266777038574219},{"id":"https://openalex.org/C145980571","wikidata":"https://www.wikidata.org/wiki/Q192788","display_name":"Rigid body","level":2,"score":0.6339225172996521},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4091147482395172},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36274126172065735},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.321227490901947},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3040774166584015},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.1566908359527588}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.21638/spbu01.2023.113","doi":"https://doi.org/10.21638/spbu01.2023.113","is_oa":true,"landing_page_url":"http://dx.doi.org/10.21638/spbu01.2023.113","pdf_url":"https://math-mech-astr-journal.spbu.ru/article/download/15501/10421","source":{"id":"https://openalex.org/S4210218253","display_name":"Vestnik of Saint Petersburg University Mathematics Mechanics Astronomy","issn_l":"1025-3106","issn":["1025-3106","2587-5884"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy","raw_type":"journal-article"},{"id":"pmh:oai:dspace.spbu.ru:11701/39335","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/11701/39335","pdf_url":null,"source":{"id":"https://openalex.org/S4306402062","display_name":"Research Repository Saint Petersburg State University (Saint Petersburg State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I172901346","host_organization_name":"St Petersburg University","host_organization_lineage":["https://openalex.org/I172901346"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.21638/spbu01.2023.113","doi":"https://doi.org/10.21638/spbu01.2023.113","is_oa":true,"landing_page_url":"http://dx.doi.org/10.21638/spbu01.2023.113","pdf_url":"https://math-mech-astr-journal.spbu.ru/article/download/15501/10421","source":{"id":"https://openalex.org/S4210218253","display_name":"Vestnik of Saint Petersburg University Mathematics Mechanics Astronomy","issn_l":"1025-3106","issn":["1025-3106","2587-5884"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["anvur-scientific","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy","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/W4324123740.pdf","grobid_xml":"https://content.openalex.org/works/W4324123740.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1546913035","https://openalex.org/W1964421705","https://openalex.org/W1965391191","https://openalex.org/W1970845222","https://openalex.org/W2036633954","https://openalex.org/W2053787382","https://openalex.org/W2056850759","https://openalex.org/W2076637681","https://openalex.org/W2127288708","https://openalex.org/W2134644527","https://openalex.org/W2286356288","https://openalex.org/W2613975380","https://openalex.org/W2767005397","https://openalex.org/W2772070687","https://openalex.org/W2905636014","https://openalex.org/W2946484731","https://openalex.org/W2954986431","https://openalex.org/W2971255797","https://openalex.org/W2980407615","https://openalex.org/W3037840248","https://openalex.org/W3072232266","https://openalex.org/W3092035205","https://openalex.org/W3093762770","https://openalex.org/W3171681345","https://openalex.org/W3171816546","https://openalex.org/W4238132378","https://openalex.org/W4240395207","https://openalex.org/W4240920767","https://openalex.org/W4252320983"],"related_works":["https://openalex.org/W2053787382","https://openalex.org/W2036633954","https://openalex.org/W4385971478","https://openalex.org/W7084578350","https://openalex.org/W4200255159","https://openalex.org/W2772070687","https://openalex.org/W2980407615","https://openalex.org/W4306750540","https://openalex.org/W2134644527","https://openalex.org/W4416308867"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,5,17,25,38,41,48,55,58],"equimomental":[3,30,54],"systems":[4],"a":[6,32],"rigid":[7,34],"body":[8],"is":[9,12,29,53],"considered.":[10],"It":[11],"shown":[13],"that":[14],"the":[15,23,46],"system":[16,37],"four":[18],"equal":[19,42],"masses":[20,43],"located":[21,44],"at":[22,45],"vertices":[24,47],"an":[26,49],"isosceles":[27,50],"tetrahedron":[28],"to":[31],"given":[33],"body.":[35],"A":[36],"material":[39],"points":[40],"tetrahedron,":[51],"which":[52],"cometary":[56],"nuclei":[57],"67P":[59],"Churyumov-Gerasimenko,":[60],"has":[61],"been":[62],"constructed.":[63]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2023-03-15T00:00:00"}