A universal time of flight equation for space mechanics

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dc.contributor.authorHalter, Ronald Vaughnen
dc.contributor.committeechairLutze, Frederick H. Jr.en
dc.contributor.committeememberCliff, Eugene M.en
dc.contributor.committeememberStalford, Harold L.en
dc.contributor.departmentAerospace Engineeringen
dc.date.accessioned2014-03-14T21:39:01Zen
dc.date.adate2010-06-22en
dc.date.available2014-03-14T21:39:01Zen
dc.date.issued1988-06-05en
dc.date.rdate2010-06-22en
dc.date.sdate2010-06-22en
dc.description.abstractA universal time of flight equation for any orbit is developed as a function of the initial and final radius, the change in true anomaly and the initial flight path angle. Lambert's theorem, a new corollary to this theorem, a trigonometric variable substitution and a continuing fraction expression are used in this development. The resulting equation is not explicitly dependent upon eccentricity and is determinate for -2n < (change in true anomaly) < 2n. A method to make the continuing fraction converge rapidly is evaluated using a top down algorithm. Finally, the accuracy of the universal time of flight equation is examined for a representative set of orbits including near parabolic and near rectilinear orbits.en
dc.description.degreeMaster of Scienceen
dc.format.extentx, 69 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-06222010-020301en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06222010-020301/en
dc.identifier.urihttp://hdl.handle.net/10919/43406en
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1988.H347.pdfen
dc.relation.isformatofOCLC# 18585327en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1988.H347en
dc.subject.lcshAstrodynamicsen
dc.subject.lcshSpace trajectoriesen
dc.titleA universal time of flight equation for space mechanicsen
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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