A Mathematical Model of the Motion of a Spinning Projectile
A semiempirical mathematical model of motion of the center of mass of a spinning projectile in the atmosphere is proposed. This model takes into account the effects of the derivation and change in the frontal resistance due to variation in the angle of attack. These effects are accounted for without...
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Veröffentlicht in: | Mathematical models and computer simulations 2021, Vol.13 (1), p.80-90 |
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description | A semiempirical mathematical model of motion of the center of mass of a spinning projectile in the atmosphere is proposed. This model takes into account the effects of the derivation and change in the frontal resistance due to variation in the angle of attack. These effects are accounted for without a detailed description of spinning in our model, which allows using a large integration step and provides the capability of real-time computation of ballistic corrections. The selection procedure of the model parameters for real weapon systems is described in detail. |
doi_str_mv | 10.1134/S2070048221010117 |
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A.</creator><creatorcontrib>Kozlitin, I. A.</creatorcontrib><description>A semiempirical mathematical model of motion of the center of mass of a spinning projectile in the atmosphere is proposed. This model takes into account the effects of the derivation and change in the frontal resistance due to variation in the angle of attack. These effects are accounted for without a detailed description of spinning in our model, which allows using a large integration step and provides the capability of real-time computation of ballistic corrections. The selection procedure of the model parameters for real weapon systems is described in detail.</description><identifier>ISSN: 2070-0482</identifier><identifier>EISSN: 2070-0490</identifier><identifier>DOI: 10.1134/S2070048221010117</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Angle of attack ; Mathematical Modeling and Industrial Mathematics ; Mathematical models ; Mathematics ; Mathematics and Statistics ; Projectiles ; Simulation and Modeling ; Weapon systems</subject><ispartof>Mathematical models and computer simulations, 2021, Vol.13 (1), p.80-90</ispartof><rights>Pleiades Publishing, Ltd. 2021. ISSN 2070-0482, Mathematical Models and Computer Simulations, 2021, Vol. 13, No. 1, pp. 80–90. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2020, published in Matematicheskoe Modelirovanie, 2020, Vol. 32, No. 5, pp. 126–142.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2317-d24e5d3430a5a87b1cdfbd17ab5488625f3dde774342eecbdba7a96c6ccce1a23</citedby><cites>FETCH-LOGICAL-c2317-d24e5d3430a5a87b1cdfbd17ab5488625f3dde774342eecbdba7a96c6ccce1a23</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S2070048221010117$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S2070048221010117$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Kozlitin, I. A.</creatorcontrib><title>A Mathematical Model of the Motion of a Spinning Projectile</title><title>Mathematical models and computer simulations</title><addtitle>Math Models Comput Simul</addtitle><description>A semiempirical mathematical model of motion of the center of mass of a spinning projectile in the atmosphere is proposed. This model takes into account the effects of the derivation and change in the frontal resistance due to variation in the angle of attack. These effects are accounted for without a detailed description of spinning in our model, which allows using a large integration step and provides the capability of real-time computation of ballistic corrections. The selection procedure of the model parameters for real weapon systems is described in detail.</description><subject>Angle of attack</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Projectiles</subject><subject>Simulation and Modeling</subject><subject>Weapon systems</subject><issn>2070-0482</issn><issn>2070-0490</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp1UE1LxDAQDaLgsu4P8FbwXM1XmyyelsUv2EVh9VzSZLqmdJOadA_-e1MqehBnDjPzeG-GeQhdEnxNCOM3O4oFxlxSSnBKIk7QbIRyzJf49KeX9BwtYmxxCkaFZHKGblfZVg3vcFCD1arLtt5Al_kmS1gaBuvdOKls11vnrNtnL8G3oAfbwQU6a1QXYfFd5-jt_u51_Zhvnh-e1qtNrikjIjeUQ2EYZ1gVSoqaaNPUhghVF1zKkhYNMwaE4IxTAF2bWgm1LHWptQaiKJujq2lvH_zHEeJQtf4YXDpZ0QLLMr3DRxaZWDr4GAM0VR_sQYXPiuBqtKn6Y1PS0EkTE9ftIfxu_l_0BQixZ3A</recordid><startdate>2021</startdate><enddate>2021</enddate><creator>Kozlitin, I. A.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2021</creationdate><title>A Mathematical Model of the Motion of a Spinning Projectile</title><author>Kozlitin, I. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2317-d24e5d3430a5a87b1cdfbd17ab5488625f3dde774342eecbdba7a96c6ccce1a23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Angle of attack</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Projectiles</topic><topic>Simulation and Modeling</topic><topic>Weapon systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kozlitin, I. A.</creatorcontrib><collection>CrossRef</collection><jtitle>Mathematical models and computer simulations</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kozlitin, I. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Mathematical Model of the Motion of a Spinning Projectile</atitle><jtitle>Mathematical models and computer simulations</jtitle><stitle>Math Models Comput Simul</stitle><date>2021</date><risdate>2021</risdate><volume>13</volume><issue>1</issue><spage>80</spage><epage>90</epage><pages>80-90</pages><issn>2070-0482</issn><eissn>2070-0490</eissn><abstract>A semiempirical mathematical model of motion of the center of mass of a spinning projectile in the atmosphere is proposed. This model takes into account the effects of the derivation and change in the frontal resistance due to variation in the angle of attack. These effects are accounted for without a detailed description of spinning in our model, which allows using a large integration step and provides the capability of real-time computation of ballistic corrections. The selection procedure of the model parameters for real weapon systems is described in detail.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S2070048221010117</doi><tpages>11</tpages></addata></record> |
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subjects | Angle of attack Mathematical Modeling and Industrial Mathematics Mathematical models Mathematics Mathematics and Statistics Projectiles Simulation and Modeling Weapon systems |
title | A Mathematical Model of the Motion of a Spinning Projectile |
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