@inproceedings{f53569538d304242a7b6ed08bd692630,
title = "Characterization of candidate vehicle states for xnav systems",
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.",
author = "Lohan, {Kevin G.} and Putnam, {Zachary R.}",
note = "Publisher Copyright: {\textcopyright} 2020, Univelt Inc. All rights reserved.; AAS/AIAA Astrodynamics Specialist Conference, 2019 ; Conference date: 11-08-2019 Through 15-08-2019",
year = "2020",
language = "English (US)",
isbn = "9780877036654",
series = "Advances in the Astronautical Sciences",
publisher = "Univelt Inc.",
pages = "195--208",
editor = "Horneman, {Kenneth R.} and Christopher Scott and Hansen, {Brian W.} and Hussein, {Islam I.}",
booktitle = "AAS/AIAA Astrodynamics Specialist Conference, 2019",
}