Characterization of candidate vehicle states for xnav systems

Kevin G. Lohan, Zachary R. Putnam

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents the framework for finding intersections of an infinite set of wavefronts from pulsars in 2D. The conditions for an intersection to exist are shown along with a numeric scheme for rapidly determining intersection feasibility. The numeric scheme reduces the dimensionality of the problem by one resulting in a much more computationally efficient solution. Using this algorithm the candidate intersections for 3, 4, or 5 pulsars is found for a phase tolerance between 10–3 and 10–5. It was found that to minimize the number of candidate positions within a given domain it is more beneficial to increase the number of pulsars observed rather than decrease the measurement uncertainty. An additional solution is found analytically by solving the mixed-integer math problem. However, this solution does not incorporate any measurement error and there is no way to know how many function evaluations are required to find all solutions within a domain.

Original languageEnglish (US)
Title of host publicationAAS/AIAA Astrodynamics Specialist Conference, 2019
EditorsKenneth R. Horneman, Christopher Scott, Brian W. Hansen, Islam I. Hussein
PublisherUnivelt Inc.
Pages195-208
Number of pages14
ISBN (Print)9780877036654
StatePublished - 2020
EventAAS/AIAA Astrodynamics Specialist Conference, 2019 - Portland, United States
Duration: Aug 11 2019Aug 15 2019

Publication series

NameAdvances in the Astronautical Sciences
Volume171
ISSN (Print)0065-3438

Conference

ConferenceAAS/AIAA Astrodynamics Specialist Conference, 2019
CountryUnited States
CityPortland
Period8/11/198/15/19

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

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