Second-Order Relative Motion Equations

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dc.contributor.authorKarlgaard, Christopher Daviden
dc.contributor.committeechairLutze, Frederick H. Jr.en
dc.contributor.committeememberHall, Christopher D.en
dc.contributor.committeememberCliff, Eugene M.en
dc.contributor.departmentAerospace and Ocean Engineeringen
dc.date.accessioned2014-03-14T20:41:31Zen
dc.date.adate2001-07-16en
dc.date.available2014-03-14T20:41:31Zen
dc.date.issued2001-07-10en
dc.date.rdate2002-07-16en
dc.date.sdate2001-07-16en
dc.description.abstractThis thesis presents an approximate solution of second order relative motion equations. The equations of motion for a Keplerian orbit in spherical coordinates are expanded in Taylor series form using reference conditions consistent with that of a circular orbit. Only terms that are linear or quadratic in state variables are kept in the expansion. A perturbation method is employed to obtain an approximate solution of the resulting nonlinear differential equations. This new solution is compared with the previously known solution of the linear case to show improvement, and with numerical integration of the quadratic differential equation to understand the error incurred by the approximation. In all cases, the comparison is made by computing the difference of the approximate state (analytical or numerical) from numerical integration of the full nonlinear Keplerian equations of motion.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-07162001-113728en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-07162001-113728/en
dc.identifier.urihttp://hdl.handle.net/10919/34025en
dc.publisherVirginia Techen
dc.relation.haspartcdkthesis.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectOrbital Mechanicsen
dc.subjectPerturbation Methodsen
dc.titleSecond-Order Relative Motion Equationsen
dc.typeThesisen
thesis.degree.disciplineAerospace and Ocean Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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