Show simple item record

dc.creatorRestrepo, Ricardo Leon
dc.date.accessioned2012-02-21T15:05:54Z
dc.date.available2012-02-21T15:05:54Z
dc.date.created2010-12
dc.date.issued2012-02-21
dc.date.submittedDecember 2010
dc.identifier.urihttp://hdl.handle.net/2152/ETD-UT-2010-12-2624
dc.descriptiontext
dc.description.abstractAn automatic algorithm for accurate numerical gradient calculations has been developed. The algorithm is based on both finite differences and Chebyshev interpolation approximations. The novelty of the method is an automated tuning of the step size perturbation required for both methods. This automation guaranties the best possible solution using these approaches without the requirement of user inputs. The algorithm treats the functions as a black box, which makes it extremely useful when general and complex problems are considered. This is the case of spacecraft trajectory design problems and complex optimization systems. An efficient procedure for the automatic implementation is presented. Several examples based on an Earth-Moon free return trajectory are presented to validate and demonstrate the accuracy of the method. A state transition matrix (STM) procedure is developed as a reference for the validation of the method.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.subjectNumerical derivatives
dc.subjectFinite difference
dc.subjectOptimization systems
dc.subjectTrajectory design
dc.subjectState transition matrix
dc.subjectChebyshev interpolation
dc.titleAutomatic algorithm for accurate numerical gradient calculation in general and complex spacecraft trajectories
dc.date.updated2012-02-21T15:06:01Z
dc.identifier.slug2152/ETD-UT-2010-12-2624
dc.description.departmentAerospace Engineering
dc.type.genrethesis*
thesis.degree.departmentAerospace Engineering
thesis.degree.disciplineAerospace Engineering
thesis.degree.grantorUniversity of Texas at Austin
thesis.degree.levelMasters
thesis.degree.nameMaster of Science in Engineering


Files in this item

Icon

This item appears in the following Collection(s)

Show simple item record