{"id":"https://openalex.org/W1977411825","doi":"https://doi.org/10.1155/2012/489849","title":"Analytical and Semi\u2010Analytical Treatment of the Satellite Motion in a Resisting Medium","display_name":"Analytical and Semi\u2010Analytical Treatment of the Satellite Motion in a Resisting Medium","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1977411825","doi":"https://doi.org/10.1155/2012/489849","mag":"1977411825"},"language":"en","primary_location":{"id":"doi:10.1155/2012/489849","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/489849","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/489849.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2012/489849.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033945443","display_name":"S. E. Abd El-Bar","orcid":"https://orcid.org/0000-0003-4760-4517"},"institutions":[{"id":"https://openalex.org/I21376657","display_name":"Tanta University","ror":"https://ror.org/016jp5b92","country_code":"EG","type":"education","lineage":["https://openalex.org/I21376657"]},{"id":"https://openalex.org/I23075662","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60","country_code":"SA","type":"education","lineage":["https://openalex.org/I23075662"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"S. E. Abd El-Bar","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Applied Science, Taibah University, Al-Madina-Al Munawwarah","Department of Mathematics, Faculty of Science, Tanta University, Tanta"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Applied Science, Taibah University, Al-Madina-Al Munawwarah","institution_ids":["https://openalex.org/I23075662"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Tanta University, Tanta","institution_ids":["https://openalex.org/I21376657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036562754","display_name":"F. A. Abd El-Salam","orcid":"https://orcid.org/0000-0002-4107-9347"},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]},{"id":"https://openalex.org/I23075662","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60","country_code":"SA","type":"education","lineage":["https://openalex.org/I23075662"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"F. A. Abd El-Salam","raw_affiliation_strings":["Department of Astronomy, Faculty of Science, Cairo University, Cairo 12613","Department of Mathematics, Faculty of Science, Taibah University, Al-Madina-Al Munwwarah"],"affiliations":[{"raw_affiliation_string":"Department of Astronomy, Faculty of Science, Cairo University, Cairo 12613","institution_ids":["https://openalex.org/I145487455"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Taibah University, Al-Madina-Al Munwwarah","institution_ids":["https://openalex.org/I23075662"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033945443"],"corresponding_institution_ids":["https://openalex.org/I21376657","https://openalex.org/I23075662"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.04543842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10325","display_name":"Astro and Planetary Science","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10325","display_name":"Astro and Planetary Science","score":0.9998000264167786,"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/T11701","display_name":"Space Satellite Systems and Control","score":0.9993000030517578,"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":0.9991999864578247,"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/geopotential","display_name":"Geopotential","score":0.821533203125},{"id":"https://openalex.org/keywords/satellite","display_name":"Satellite","score":0.7419890761375427},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.6271835565567017},{"id":"https://openalex.org/keywords/equations-of-motion","display_name":"Equations of motion","score":0.5768991112709045},{"id":"https://openalex.org/keywords/orbital-mechanics","display_name":"Orbital mechanics","score":0.5125293731689453},{"id":"https://openalex.org/keywords/orbital-elements","display_name":"Orbital elements","score":0.5042382478713989},{"id":"https://openalex.org/keywords/atmospheric-dynamics","display_name":"Atmospheric dynamics","score":0.478822261095047},{"id":"https://openalex.org/keywords/drag","display_name":"Drag","score":0.4622343182563782},{"id":"https://openalex.org/keywords/atmosphere","display_name":"Atmosphere (unit)","score":0.44201168417930603},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.41520148515701294},{"id":"https://openalex.org/keywords/geopotential-height","display_name":"Geopotential height","score":0.4111568331718445},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3906170129776001},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3716079592704773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3375975489616394},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3314104676246643},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24391600489616394},{"id":"https://openalex.org/keywords/meteorology","display_name":"Meteorology","score":0.2350936233997345},{"id":"https://openalex.org/keywords/geodesy","display_name":"Geodesy","score":0.21791592240333557},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.15910840034484863},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.14576607942581177}],"concepts":[{"id":"https://openalex.org/C160121416","wikidata":"https://www.wikidata.org/wiki/Q1423347","display_name":"Geopotential","level":2,"score":0.821533203125},{"id":"https://openalex.org/C19269812","wikidata":"https://www.wikidata.org/wiki/Q26540","display_name":"Satellite","level":2,"score":0.7419890761375427},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.6271835565567017},{"id":"https://openalex.org/C14037181","wikidata":"https://www.wikidata.org/wiki/Q215007","display_name":"Equations of motion","level":2,"score":0.5768991112709045},{"id":"https://openalex.org/C6629501","wikidata":"https://www.wikidata.org/wiki/Q842433","display_name":"Orbital mechanics","level":3,"score":0.5125293731689453},{"id":"https://openalex.org/C97784730","wikidata":"https://www.wikidata.org/wiki/Q272626","display_name":"Orbital elements","level":2,"score":0.5042382478713989},{"id":"https://openalex.org/C2994030904","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Atmospheric dynamics","level":3,"score":0.478822261095047},{"id":"https://openalex.org/C72921944","wikidata":"https://www.wikidata.org/wiki/Q206621","display_name":"Drag","level":2,"score":0.4622343182563782},{"id":"https://openalex.org/C65440619","wikidata":"https://www.wikidata.org/wiki/Q177974","display_name":"Atmosphere (unit)","level":2,"score":0.44201168417930603},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.41520148515701294},{"id":"https://openalex.org/C192901106","wikidata":"https://www.wikidata.org/wiki/Q12432978","display_name":"Geopotential height","level":3,"score":0.4111568331718445},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3906170129776001},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3716079592704773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3375975489616394},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3314104676246643},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24391600489616394},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.2350936233997345},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.21791592240333557},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.15910840034484863},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.14576607942581177},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C107054158","wikidata":"https://www.wikidata.org/wiki/Q25257","display_name":"Precipitation","level":2,"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":4,"locations":[{"id":"doi:10.1155/2012/489849","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/489849","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/489849.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1355495030","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495030","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:489849","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2012/489849.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:481e3c9cd4ac4eb6b4477b73027ea08b","is_oa":true,"landing_page_url":"https://doaj.org/article/481e3c9cd4ac4eb6b4477b73027ea08b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/489849","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/489849","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/489849.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8517552090","display_name":null,"funder_award_id":"617/1431","funder_id":"https://openalex.org/F4320321161","funder_display_name":"Taibah University"}],"funders":[{"id":"https://openalex.org/F4320321161","display_name":"Taibah University","ror":"https://ror.org/01xv1nn60"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1977411825.pdf","grobid_xml":"https://content.openalex.org/works/W1977411825.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W607042464","https://openalex.org/W1511057778","https://openalex.org/W1576155208","https://openalex.org/W1593029238","https://openalex.org/W1666375428","https://openalex.org/W1674591135","https://openalex.org/W1964232736","https://openalex.org/W1996365758","https://openalex.org/W1997630426","https://openalex.org/W2024376080","https://openalex.org/W2050627591","https://openalex.org/W2050748259","https://openalex.org/W2056601122","https://openalex.org/W2120033532","https://openalex.org/W2129406476","https://openalex.org/W2132889321","https://openalex.org/W2161344005","https://openalex.org/W2167834352","https://openalex.org/W2313635389","https://openalex.org/W2498504667","https://openalex.org/W2610422756","https://openalex.org/W2743826986","https://openalex.org/W2995963679","https://openalex.org/W3026753631","https://openalex.org/W3107207146","https://openalex.org/W3120834625","https://openalex.org/W3158622587","https://openalex.org/W3175225030","https://openalex.org/W4236812140","https://openalex.org/W4242108514","https://openalex.org/W4245593042","https://openalex.org/W4249989757"],"related_works":["https://openalex.org/W952827669","https://openalex.org/W2032369005","https://openalex.org/W3122671010","https://openalex.org/W909063915","https://openalex.org/W2380909403","https://openalex.org/W1983301251","https://openalex.org/W3197543174","https://openalex.org/W3146280595","https://openalex.org/W2391032325","https://openalex.org/W3127054348"],"abstract_inverted_index":{"The":[0,25,73],"orbital":[1,35],"dynamics":[2],"of":[3,33,48,68,70,75],"an":[4],"artificial":[5],"satellite":[6,85],"in":[7],"the":[8,31,46,66,76,81],"Earth\u2032s":[9],"atmosphere":[10],"is":[11,19,78],"considered.":[12],"An":[13],"analytic":[14],"first\u2010order":[15],"atmospheric":[16],"drag":[17],"theory":[18,77],"developed":[20],"using":[21,65],"Lagrange\u2032s":[22],"planetary":[23],"equations.":[24],"short":[26],"periodic":[27],"perturbations":[28],"due":[29],"to":[30,40,53,61],"geopotential":[32],"all":[34],"elements":[36],"are":[37,59,90],"evaluated.":[38],"And":[39],"construct":[41],"a":[42],"second\u2010order":[43],"analytical":[44],"theory,":[45],"equations":[47],"motion":[49],"become":[50],"very":[51],"complicated":[52],"be":[54],"integrated":[55],"analytically;":[56],"thus":[57],"we":[58],"forced":[60],"integrate":[62],"them":[63],"numerically":[64],"method":[67],"Runge\u2010Kutta":[69],"fourth":[71],"order.":[72],"validity":[74],"checked":[79],"on":[80],"already":[82],"decayed":[83],"Indian":[84],"ROHINI":[86],"where":[87],"its":[88],"data":[89],"available.":[91]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}