Nonlinear mathematical models for paths maintaining constant normal accelerations

New path equations maintaining constant normal accelerations with arbitrary tangential decelerations for a moving object is derived. The case of tangential deceleration proportional to the square of velocity is treated in detail. It is assumed that in this special case, the vehicle is under the infl...

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Hauptverfasser:	Pakdemirli, Mehmet, Yıldız, Volkan
Format:	Tagungsbericht
Sprache:	eng
Schlagworte:	Deceleration Differential equations Dimensionless numbers Drag Mathematical models
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creator	Pakdemirli, Mehmet Yıldız, Volkan
description	New path equations maintaining constant normal accelerations with arbitrary tangential decelerations for a moving object is derived. The case of tangential deceleration proportional to the square of velocity is treated in detail. It is assumed that in this special case, the vehicle is under the influence of drag force only. The equation is cast into a dimensionless form first. Numerical solution of the resulting nonlinear third order differential equation is contrasted with the perturbation solution. When the perturbation parameter is small, the match is excellent. The derived paths may found applications in the motion of land, marine and aerial vehicles.
doi_str_mv	10.1063/1.4972713
format	Conference Proceeding
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The derived paths may found applications in the motion of land, marine and aerial vehicles.</description><subject>Deceleration</subject><subject>Differential equations</subject><subject>Dimensionless numbers</subject><subject>Drag</subject><subject>Mathematical models</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2017</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNp9kMlKBDEQhoMoOI4efIMGb0KP2TrLUQY3GBRBwVso02ntoTtpk4zg2xudAW8e6i-o_6uFQuiU4AXBgl2QBdeSSsL20Iw0DamlIGIfzTDWvKacvRyio5TWGFMtpZqhx_vgh947iNUI-d0V6S0M1RhaN6SqC7GaSj0Vt_e5RO_fKht8yuBz5UMcCwzWusHF0lqMY3TQwZDcyS7P0fP11dPytl493NwtL1f1RBuWay6l7hxQayUDWUSJDqBVQhMA2nILr0phxWTrFCjNOAHVtFRpaxXXTLA5OtvOnWL42LiUzTpsoi8rDSWUCy0oUYU631LJ9vn3QDPFfoT4ZQg2Py8zxOxe9h_8GeIfaKa2Y9_TK22n</recordid><startdate>20170127</startdate><enddate>20170127</enddate><creator>Pakdemirli, Mehmet</creator><creator>Yıldız, Volkan</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20170127</creationdate><title>Nonlinear mathematical models for paths maintaining constant normal accelerations</title><author>Pakdemirli, Mehmet ; Yıldız, Volkan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p253t-4779fea2cc73a7c7386faad8691aa2d4cab880837de8a89341a85d289cc849363</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Deceleration</topic><topic>Differential equations</topic><topic>Dimensionless numbers</topic><topic>Drag</topic><topic>Mathematical models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pakdemirli, Mehmet</creatorcontrib><creatorcontrib>Yıldız, Volkan</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pakdemirli, Mehmet</au><au>Yıldız, Volkan</au><au>Sivasundaram, Seenith</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Nonlinear mathematical models for paths maintaining constant normal accelerations</atitle><btitle>AIP conference proceedings</btitle><date>2017-01-27</date><risdate>2017</risdate><volume>1798</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>New path equations maintaining constant normal accelerations with arbitrary tangential decelerations for a moving object is derived. 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language	eng
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source	Scitation (American Institute of Physics)
subjects	Deceleration Differential equations Dimensionless numbers Drag Mathematical models
title	Nonlinear mathematical models for paths maintaining constant normal accelerations
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