@inproceedings{433557f2c513429cbe2a079e886a1471,
title = "Extended Kalman filtering in burdet coordinates",
abstract = "Peculiarities associated with the linear error theory and the Kalman filter implementations associated with a class of nonlinear transformations of mechanical systems of interest in astrodynamics are discussed in the paper. Change of the independent variable using a nonlinear implicit equation transforms the measurement equations appropriately and provides additional conditions associated with the measurement times that are perfectly known. Since regularization process introduces redundant coordinates, linear error theory to explicitly account for the state constraints is developed. The paper then studies the tradeoffs obtained by the linear error propagation in the time updates and the nonlinearity incurred in the measurement update for problems in astrodynamics.",
author = "David Ciliberto and Puneet Singla and Manoranjan Majji",
note = "Funding Information: This material is based upon work supported jointly by the AFOSR grants FA9550-15-1-0313 and FA9550-17-1-0088. Publisher Copyright: {\textcopyright} 2018 Univelt Inc. All rights reserved.; AAS/AIAA Astrodynamics Specialist Conference, 2018 ; Conference date: 19-08-2018 Through 23-08-2018",
year = "2018",
language = "English (US)",
isbn = "9780877036579",
series = "Advances in the Astronautical Sciences",
publisher = "Univelt Inc.",
pages = "2945--2964",
editor = "Puneet Singla and Weisman, {Ryan M.} and Marchand, {Belinda G.} and Jones, {Brandon A.}",
booktitle = "AAS/AIAA Astrodynamics Specialist Conference, 2018",
address = "United States",
}