CALIBRATED APPROXIMATIONS OF ERROR KINEMATICS FOR ATTITUDE PARAMETERIZATIONS

Eric A. Butcher; Aniket Bire; Andrew J. Sinclair

CALIBRATED APPROXIMATIONS OF ERROR KINEMATICS FOR ATTITUDE PARAMETERIZATIONS

Eric A. Butcher, Aniket Bire, Andrew J. Sinclair

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Calibrated approximations of the nonlinear attitude error kinematics for various attitude parameterizations are derived. For this purpose, the equivalence of the linearized equations of motion, related through linearized transformations, is demonstrated assuming either additive or multiplicative error definitions. This equivalence is used to develop calibrated linearized solutions for coordinates with higher nonlinearity indices that utilize the linearized solutions for coordinates with lower nonlinearity indices and thus provide greater accuracy than the traditional linearized solution. Additionally, the inverse of the calibration process is used to develop a more accurate decalibrated solution.

Original language	English (US)
Title of host publication	ASTRODYNAMICS 2020
Editors	Roby S. Wilson, Jinjun Shan, Kathleen C. Howell, Felix R. Hoots
Publisher	Univelt Inc.
Pages	801-820
Number of pages	20
ISBN (Print)	9780877036753
State	Published - 2021
Event	AAS/AIAA Astrodynamics Specialist Conference, 2020 - Virtual, Online Duration: Aug 9 2020 → Aug 12 2020

Publication series

Name	Advances in the Astronautical Sciences
Volume	175
ISSN (Print)	0065-3438

Conference

Conference	AAS/AIAA Astrodynamics Specialist Conference, 2020
City	Virtual, Online
Period	8/9/20 → 8/12/20

ASJC Scopus subject areas

Aerospace Engineering
Space and Planetary Science

Cite this

CALIBRATED APPROXIMATIONS OF ERROR KINEMATICS FOR ATTITUDE PARAMETERIZATIONS. / Butcher, Eric A.; Bire, Aniket; Sinclair, Andrew J.

ASTRODYNAMICS 2020. ed. / Roby S. Wilson; Jinjun Shan; Kathleen C. Howell; Felix R. Hoots. Univelt Inc., 2021. p. 801-820 (Advances in the Astronautical Sciences; Vol. 175).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

@inproceedings{32cf9363e33844f98983d62b5fdda11d,

title = "CALIBRATED APPROXIMATIONS OF ERROR KINEMATICS FOR ATTITUDE PARAMETERIZATIONS",

abstract = "Calibrated approximations of the nonlinear attitude error kinematics for various attitude parameterizations are derived. For this purpose, the equivalence of the linearized equations of motion, related through linearized transformations, is demonstrated assuming either additive or multiplicative error definitions. This equivalence is used to develop calibrated linearized solutions for coordinates with higher nonlinearity indices that utilize the linearized solutions for coordinates with lower nonlinearity indices and thus provide greater accuracy than the traditional linearized solution. Additionally, the inverse of the calibration process is used to develop a more accurate decalibrated solution.",

author = "Butcher, {Eric A.} and Aniket Bire and Sinclair, {Andrew J.}",

year = "2021",

language = "English (US)",

isbn = "9780877036753",

series = "Advances in the Astronautical Sciences",

publisher = "Univelt Inc.",

pages = "801--820",

editor = "Wilson, {Roby S.} and Jinjun Shan and Howell, {Kathleen C.} and Hoots, {Felix R.}",

booktitle = "ASTRODYNAMICS 2020",

}

TY - GEN

T1 - CALIBRATED APPROXIMATIONS OF ERROR KINEMATICS FOR ATTITUDE PARAMETERIZATIONS

AU - Butcher, Eric A.

AU - Bire, Aniket

AU - Sinclair, Andrew J.

PY - 2021

Y1 - 2021

N2 - Calibrated approximations of the nonlinear attitude error kinematics for various attitude parameterizations are derived. For this purpose, the equivalence of the linearized equations of motion, related through linearized transformations, is demonstrated assuming either additive or multiplicative error definitions. This equivalence is used to develop calibrated linearized solutions for coordinates with higher nonlinearity indices that utilize the linearized solutions for coordinates with lower nonlinearity indices and thus provide greater accuracy than the traditional linearized solution. Additionally, the inverse of the calibration process is used to develop a more accurate decalibrated solution.

AB - Calibrated approximations of the nonlinear attitude error kinematics for various attitude parameterizations are derived. For this purpose, the equivalence of the linearized equations of motion, related through linearized transformations, is demonstrated assuming either additive or multiplicative error definitions. This equivalence is used to develop calibrated linearized solutions for coordinates with higher nonlinearity indices that utilize the linearized solutions for coordinates with lower nonlinearity indices and thus provide greater accuracy than the traditional linearized solution. Additionally, the inverse of the calibration process is used to develop a more accurate decalibrated solution.

UR - http://www.scopus.com/inward/record.url?scp=85126251986&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85126251986&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85126251986

SN - 9780877036753

T3 - Advances in the Astronautical Sciences

SP - 801

EP - 820

BT - ASTRODYNAMICS 2020

A2 - Wilson, Roby S.

A2 - Shan, Jinjun

A2 - Howell, Kathleen C.

A2 - Hoots, Felix R.

PB - Univelt Inc.

T2 - AAS/AIAA Astrodynamics Specialist Conference, 2020

Y2 - 9 August 2020 through 12 August 2020

ER -

CALIBRATED APPROXIMATIONS OF ERROR KINEMATICS FOR ATTITUDE PARAMETERIZATIONS

Abstract

Publication series

Conference

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this