Title

Initial Relative Orbit Determination Using Multiple LOS Measurements and Gaussian Mixture Models

Presenter Information

Keith LeGrand

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

This document is currently not available here.

Share

COinS
 
Apr 16th, 10:00 AM Apr 16th, 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.