Singular optimal atmospheric rocket trajectories

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dc.contributor.authorKumar, Renjith R.en
dc.contributor.committeechairKelley, Henry J.en
dc.contributor.committeememberCliff, Eugene M.en
dc.contributor.committeememberLutze, Frederick H. Jr.en
dc.contributor.departmentAerospace Engineeringen
dc.date.accessioned2014-03-14T21:39:43Zen
dc.date.adate2010-07-07en
dc.date.available2014-03-14T21:39:43Zen
dc.date.issued1986-10-05en
dc.date.rdate2010-07-07en
dc.date.sdate2010-07-07en
dc.description.abstractSingular subarcs arise in quite a few problems of flight dynamics. The present study is devoted to the specific problem of ascent and acceleration of a vehicle in atmospheric flight in which a variable-thrust arc forms a part of the optimal trajectory. A two-parameter family of singular arcs was generated for time-range-fuel problems of an ascending rocket, using the modelling of Zlatskiy and Kiforenko. The short-term optimality of the singular subarcs has been checked in terms of certain necessary conditions: the classical Clebsch condition, the Kelley condition or the Generalized Legendre-Clebsch condition and the Goh condition. All these are found to be satisfied computationally for all the candidates. The calculations were repeated for simplified thrust-along-the-path modelling and similar results on optimality obtained.en
dc.description.degreeMaster of Scienceen
dc.format.extentviii, 69 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-07072010-020410en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07072010-020410/en
dc.identifier.urihttp://hdl.handle.net/10919/43577en
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1986.K763.pdfen
dc.relation.isformatofOCLC# 15179017en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1986.K763en
dc.subject.lcshFlight engineeringen
dc.subject.lcshRockets (Aeronautics)en
dc.subject.lcshTrajectory optimizationen
dc.titleSingular optimal atmospheric rocket trajectoriesen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineAerospace Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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