{"id":"https://openalex.org/W4408053782","doi":"https://doi.org/10.3390/sym17030368","title":"About a Classical Gravitational Interaction in a General Non-Inertial Reference Frame: Applications on Celestial Mechanics and Astrodynamics","display_name":"About a Classical Gravitational Interaction in a General Non-Inertial Reference Frame: Applications on Celestial Mechanics and Astrodynamics","publication_year":2025,"publication_date":"2025-02-28","ids":{"openalex":"https://openalex.org/W4408053782","doi":"https://doi.org/10.3390/sym17030368"},"language":"en","primary_location":{"id":"doi:10.3390/sym17030368","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17030368","pdf_url":"https://www.mdpi.com/2073-8994/17/3/368/pdf?version=1740748202","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/3/368/pdf?version=1740748202","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037856172","display_name":"Daniel Condurache","orcid":"https://orcid.org/0000-0001-9287-8387"},"institutions":[{"id":"https://openalex.org/I158333966","display_name":"Technical University of Cluj-Napoca","ror":"https://ror.org/03r8nwp71","country_code":"RO","type":"education","lineage":["https://openalex.org/I158333966"]},{"id":"https://openalex.org/I4210108695","display_name":"Gheorghe Asachi Technical University of Ia\u0219i","ror":"https://ror.org/014zxnz40","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210108695"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Daniel Condurache","raw_affiliation_strings":["Department of Theoretical Mechanics, \u201cGheorghe Asachi\u201d Technical University of Iasi, D. Mangeron 59, 700050 Iasi, Romania","Research Center for Industrial Robots Simulation and Testing, Technical University of Cluj-Napoca, Memorandumului 14, 400114 Cluj-Napoca, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Theoretical Mechanics, \u201cGheorghe Asachi\u201d Technical University of Iasi, D. Mangeron 59, 700050 Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]},{"raw_affiliation_string":"Research Center for Industrial Robots Simulation and Testing, Technical University of Cluj-Napoca, Memorandumului 14, 400114 Cluj-Napoca, Romania","institution_ids":["https://openalex.org/I158333966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020397777","display_name":"Mihail Cojocari","orcid":"https://orcid.org/0009-0009-1443-9050"},"institutions":[{"id":"https://openalex.org/I4210108695","display_name":"Gheorghe Asachi Technical University of Ia\u0219i","ror":"https://ror.org/014zxnz40","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210108695"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Mihail Cojocari","raw_affiliation_strings":["Department of Theoretical Mechanics, \u201cGheorghe Asachi\u201d Technical University of Iasi, D. Mangeron 59, 700050 Iasi, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Theoretical Mechanics, \u201cGheorghe Asachi\u201d Technical University of Iasi, D. Mangeron 59, 700050 Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104008876","display_name":"Ionu\u0163 Popa","orcid":"https://orcid.org/0009-0004-9954-8048"},"institutions":[{"id":"https://openalex.org/I4210108695","display_name":"Gheorghe Asachi Technical University of Ia\u0219i","ror":"https://ror.org/014zxnz40","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210108695"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Ionu\u021b Popa","raw_affiliation_strings":["Department of Theoretical Mechanics, \u201cGheorghe Asachi\u201d Technical University of Iasi, D. Mangeron 59, 700050 Iasi, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Theoretical Mechanics, \u201cGheorghe Asachi\u201d Technical University of Iasi, D. Mangeron 59, 700050 Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037856172"],"corresponding_institution_ids":["https://openalex.org/I158333966","https://openalex.org/I4210108695"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0296505,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"3","first_page":"368","last_page":"368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.9975000023841858,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.995199978351593,"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/physics","display_name":"Physics","score":0.6975393295288086},{"id":"https://openalex.org/keywords/celestial-mechanics","display_name":"Celestial mechanics","score":0.6879095435142517},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.6575912237167358},{"id":"https://openalex.org/keywords/reference-frame","display_name":"Reference frame","score":0.6114166378974915},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.609458327293396},{"id":"https://openalex.org/keywords/frame-of-reference","display_name":"Frame of reference","score":0.553481936454773},{"id":"https://openalex.org/keywords/gravitation","display_name":"Gravitation","score":0.5118710398674011},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.4937799870967865},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2428807020187378}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6975393295288086},{"id":"https://openalex.org/C27638517","wikidata":"https://www.wikidata.org/wiki/Q184274","display_name":"Celestial mechanics","level":2,"score":0.6879095435142517},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.6575912237167358},{"id":"https://openalex.org/C172849965","wikidata":"https://www.wikidata.org/wiki/Q3148875","display_name":"Reference frame","level":3,"score":0.6114166378974915},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.609458327293396},{"id":"https://openalex.org/C74992021","wikidata":"https://www.wikidata.org/wiki/Q184876","display_name":"Frame of reference","level":2,"score":0.553481936454773},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.5118710398674011},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.4937799870967865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2428807020187378},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17030368","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17030368","pdf_url":"https://www.mdpi.com/2073-8994/17/3/368/pdf?version=1740748202","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17030368","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17030368","pdf_url":"https://www.mdpi.com/2073-8994/17/3/368/pdf?version=1740748202","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408053782.pdf"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W579379960","https://openalex.org/W608850509","https://openalex.org/W1604849998","https://openalex.org/W1968574830","https://openalex.org/W1991905508","https://openalex.org/W1996320238","https://openalex.org/W2000621959","https://openalex.org/W2035240334","https://openalex.org/W2053396620","https://openalex.org/W2062699250","https://openalex.org/W2072088984","https://openalex.org/W2108347897","https://openalex.org/W2126236542","https://openalex.org/W2140142470","https://openalex.org/W2141610826","https://openalex.org/W2152706252","https://openalex.org/W2155417010","https://openalex.org/W2245343139","https://openalex.org/W2313721366","https://openalex.org/W2497158372","https://openalex.org/W2506884445","https://openalex.org/W2809797523","https://openalex.org/W2963181584","https://openalex.org/W3095152975","https://openalex.org/W3105424656","https://openalex.org/W3211783562","https://openalex.org/W4206795813","https://openalex.org/W4207050047","https://openalex.org/W4214899317","https://openalex.org/W4234224195","https://openalex.org/W4246199042","https://openalex.org/W4293294427","https://openalex.org/W4388184698","https://openalex.org/W4388250519","https://openalex.org/W4389978245","https://openalex.org/W4390677099","https://openalex.org/W4391440674","https://openalex.org/W4391967179","https://openalex.org/W4402702642","https://openalex.org/W6690471955"],"related_works":["https://openalex.org/W3000823840","https://openalex.org/W4389558692","https://openalex.org/W2046073029","https://openalex.org/W2159837405","https://openalex.org/W26667982","https://openalex.org/W96509944","https://openalex.org/W110899775","https://openalex.org/W1490136545","https://openalex.org/W2241077791","https://openalex.org/W2784063581"],"abstract_inverted_index":{"This":[0],"paper":[1,90,130],"offers":[2],"new":[3,40],"insights":[4],"into":[5],"gravitational":[6,86],"interactions":[7],"within":[8,116],"a":[9,22,46,63,74,92,124,139],"general":[10],"non-inertial":[11,30,53,71,125,151],"reference":[12,57,126],"frame.":[13,106,127],"By":[14],"utilizing":[15],"symbolic":[16],"tensor":[17],"calculus,":[18],"the":[19,85,89,97,104,117,120,129,132,145,157,162],"study":[20],"establishes":[21],"unified":[23],"framework":[24],"that":[25],"connects":[26],"time":[27],"derivatives":[28],"in":[29,34,51,70,123,144],"frames":[31],"to":[32,103],"those":[33],"inertial":[35],"frames.":[36,58,72],"The":[37],"research":[38],"introduces":[39],"first":[41,60],"integrals":[42,61],"of":[43,48,68,99,119,136,159,161],"motion":[44,69,98,135],"for":[45,81,96,110],"system":[47],"many":[49],"particles":[50],"arbitrary":[52],"and":[54,65,141],"barycentric":[55],"rotating":[56],"These":[59],"provide":[62],"kinematic":[64],"geometric":[66],"visualization":[67],"Additionally,":[73],"generalized":[75],"potential":[76],"energy":[77],"function":[78],"is":[79,154],"presented":[80],"broader":[82],"applicability.":[83],"For":[84],"two-body":[87,121],"problem,":[88],"delivers":[91],"closed-form,":[93],"coordinate-free":[94,142],"solution":[95,143],"each":[100],"body":[101],"relative":[102,133],"original":[105],"Consequently,":[107],"sufficient":[108],"conditions":[109],"stability":[111],"against":[112],"collisions":[113],"are":[114],"established":[115],"context":[118],"problem":[122],"Furthermore,":[128],"examines":[131],"orbital":[134],"spacecraft,":[137],"presenting":[138],"closed-form":[140],"local":[146,148],"vertical":[147],"horizontal":[149],"(LVLH)":[150],"frame,":[152],"which":[153],"centered":[155],"on":[156],"center":[158],"mass":[160],"main":[163],"spacecraft.":[164]},"counts_by_year":[],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}