Initial Relative Orbit Determination Using Multiple LOS Measurements and Gaussian Mixture Models
Department
Mechanical and Aerospace Engineering
Major
Aerospace Engineering
Research Advisor
DeMars, Kyle J.
Pernicka, Hank
Advisor's Department
Mechanical and Aerospace Engineering
Funding Source
Opportunities for Undergraduate Research Experience (OURE)
Abstract
Unobservability of space-based angles-only orbit determination can be mitigated by including angle measurements from a second optical sensor. Previous approaches have used stereoscopic angles to triangulate a second satellite’s position. Due to triangulation nonlinearities, zero-mean Gaussian noise cannot be assumed. In this work, the uncertainty of both angle measurements is used to bound the possible positions of the second satellite. Uniform uncertainty is approximated over these bounded regions at two times using Gaussian mixtures. Linkage of the mixtures is performed using a Lambert solver to formulate a full state uncertainty for use in a Bayesian filter.
Biography
Keith LeGrand is currently an undergraduate student in Aerospace Engineering at the Missouri University of Science and Technology. His research interests are focused in the areas of astrodynamics and spacecraft embedded systems. Past internships have included positions at the Air Force Research Laboratory, Garmin International, and Sandia National Laboratories. Keith has accepted the invitation to participate in Sandia’s Critical Skills Master’s Program, in which he will earn his Master’s in Aerospace Engineering before beginning full-time employment at Sandia National Laboratories in Albuquerque, NM.
Research Category
Engineering
Presentation Type
Oral Presentation
Document Type
Presentation
Award
Engineering oral presentation, First place
Location
Gasconade Room
Presentation Date
16 Apr 2014, 10:00 am - 10:30 am
Initial Relative Orbit Determination Using Multiple LOS Measurements and Gaussian Mixture Models
Gasconade Room
Unobservability of space-based angles-only orbit determination can be mitigated by including angle measurements from a second optical sensor. Previous approaches have used stereoscopic angles to triangulate a second satellite’s position. Due to triangulation nonlinearities, zero-mean Gaussian noise cannot be assumed. In this work, the uncertainty of both angle measurements is used to bound the possible positions of the second satellite. Uniform uncertainty is approximated over these bounded regions at two times using Gaussian mixtures. Linkage of the mixtures is performed using a Lambert solver to formulate a full state uncertainty for use in a Bayesian filter.
