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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10087267/ |
| _version_ | 1797840087426269184 |
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| author | Kyl S. Stanfield Ahmad Bani Younes |
| author_facet | Kyl S. Stanfield Ahmad Bani Younes |
| author_sort | Kyl S. Stanfield |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-09T16:08:48Z |
| format | Article |
| id | doaj.art-9170398bb049442889f294ceea3688c3 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-09T16:08:48Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-9170398bb049442889f294ceea3688c32023-04-24T23:00:12ZengIEEEIEEE Access2169-35362023-01-0111343493435810.1109/ACCESS.2023.326314610087267Dual Attitude Representations and Kinematics for Six-Degree-of-Freedom Spacecraft DynamicsKyl S. Stanfield0https://orcid.org/0000-0002-4617-3172Ahmad Bani Younes1https://orcid.org/0000-0002-3329-5824Department of Aerospace Engineering, San Diego State University, San Diego, CA, USADepartment of Aerospace Engineering, San Diego State University, San Diego, CA, USAThis 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.https://ieeexplore.ieee.org/document/10087267/Attitudedual attitudedual quaternionkinematicsprincipal vectorrodrigues parameters |
| spellingShingle | Kyl S. Stanfield Ahmad Bani Younes Dual Attitude Representations and Kinematics for Six-Degree-of-Freedom Spacecraft Dynamics IEEE Access Attitude dual attitude dual quaternion kinematics principal vector rodrigues parameters |
| title | Dual Attitude Representations and Kinematics for Six-Degree-of-Freedom Spacecraft Dynamics |
| title_full | Dual Attitude Representations and Kinematics for Six-Degree-of-Freedom Spacecraft Dynamics |
| title_fullStr | Dual Attitude Representations and Kinematics for Six-Degree-of-Freedom Spacecraft Dynamics |
| title_full_unstemmed | Dual Attitude Representations and Kinematics for Six-Degree-of-Freedom Spacecraft Dynamics |
| title_short | Dual Attitude Representations and Kinematics for Six-Degree-of-Freedom Spacecraft Dynamics |
| title_sort | dual attitude representations and kinematics for six degree of freedom spacecraft dynamics |
| topic | Attitude dual attitude dual quaternion kinematics principal vector rodrigues parameters |
| url | https://ieeexplore.ieee.org/document/10087267/ |
| work_keys_str_mv | AT kylsstanfield dualattituderepresentationsandkinematicsforsixdegreeoffreedomspacecraftdynamics AT ahmadbaniyounes dualattituderepresentationsandkinematicsforsixdegreeoffreedomspacecraftdynamics |