Dual Attitude Representations and Kinematics for Six-Degree-of-Freedom Spacecraft Dynamics

This paper focuses on the development of three newly formed representations of dual attitude and their respective kinematics equations - Dual Classical Rodrigues Parameters, Dual Modified Rodrigues Parameters, Dual Principal Axis and Principal Angle (Dual Principal Rotation Vector). These three form...

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Bibliographic Details
Published in:IEEE access 2023-01, Vol.11, p.1-1
Main Authors: Stanfield, Kyl S., Younes, Ahmad Bani
Format: Article
Language:English
Subjects:
Aerodynamics
Algebra
Attitude
Attitude control
Attitudes
Coordinates
Degrees of freedom
dual attitude
dual quaternion
Kinematic equations
Kinematics
Mathematical analysis
Mathematical models
Parameter modification
principal vector
Quaternions
Representations
Rigid structures
rodrigues parameters
Space vehicles
Spacecraft
Spacecraft control
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Summary:This paper focuses on the development of three newly formed representations of dual attitude and their respective kinematics equations - Dual Classical Rodrigues Parameters, Dual Modified Rodrigues Parameters, Dual Principal Axis and Principal Angle (Dual Principal Rotation Vector). These three formulations are developed by building off of the theories and concepts used with Dual Quaternions and utilizing numerous attitude identities for quaternions to create new identities using dual quaternions and dual attitudes while detailing the process used throughout the derivation. The accompanying dual kinematic equations using these dual attitude parameters are also generated using their respective dual attitude coordinate systems. Furthermore, the new dual attitude representations with their respective, distinct kinematic equations and identities are validated against a simulated 6-DOF rigid body spacecraft control problem to verify equivalency across equations using the dual quaternion as a baseline.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2023.3263146