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dc.contributor.advisorCheng, Yang
dc.contributor.authorNevels, Matthew David
dc.date2011
dc.date.accessioned2019-10-08T16:11:49Z
dc.date.available2019-10-08T16:11:49Z
dc.date.issued2011-04-29
dc.identifier.urihttps://hdl.handle.net/11668/16297
dc.description.abstractThe system of sparse gridpoints was used to propagate uncertainty forward in time through orbital mechanics simulations. Propagation of initial uncertainty through a nonlinear dynamic model is examined in regards to the uncertainty of orbit estimation. The necessary underlying mechanics of orbital mechanics, probability, and nonlinear estimation theory are reviewed to allow greater understanding of the problem. The sparse grid method itself and its implementation is covered in detail, along with the necessary properties and how to best it to a given problem based on inputs and desired outputs. Three test cases were run in the form of a restricted two-body problem, a perturbed two-body problem, and a three-body problem in which the orbiting body is positioned at a Lagrange point. It is shown that the sparse grid method shows sufficient accuracy for all mean calculations in the given problems and that higher accuracy levels allow for accurate estimation of higher moments such as the covariance.
dc.publisherMississippi State University
dc.subject.lcshOrbital mechanics.
dc.subject.lcshOrbit determination.
dc.subject.lcshComputer algorithms.
dc.subject.lcshDifferential equations, Nonlinear.
dc.subject.lcshComputational grids (Computer systems)
dc.subject.lcshMonte Carlo method.
dc.subject.otheruncertainty
dc.subject.otherorbit propagation
dc.subject.otheruncertainty propagation
dc.subject.othersparse grid
dc.subject.othersmolyak
dc.titleOrbit uncertainty propagation through sparse grids
dc.typeThesis
dc.publisher.departmentDepartment of Aerospace Engineering.
dc.date.authorbirth1987
dc.subject.degreeMaster of Science
dc.subject.majorAerospace Engineering
dc.contributor.committeeKoenig, Keith
dc.contributor.committeeXin, Ming


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