Connecting the Equinoctial Elements and Rodrigues Parameters: A New Set of Elements
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866914087244398592 |
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| author | Peterson, Joseph T. A. Arya, Vishala Junkins, John L. |
| author_facet | Peterson, Joseph T. A. Arya, Vishala Junkins, John L. |
| contents | A geometric interpretation of the equinoctial elements is given with a connection to orthogonal rotations and attitude dynamics in Euclidean 3-space. An identification is made between the equinoctial elements and classic Rodrigues parameters. A new set of equinoctial elements are developed using the modified Rodrigues parameters, thereby removing the coordinate singularity for retrograde equatorial orbits present in previous versions of these elements. A low-thrust trajectory optimization problem is set up using the new elements to numerically verify convergence for the two-point boundary problem, as compared to their predecessors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Connecting the Equinoctial Elements and Rodrigues Parameters: A New Set of Elements Peterson, Joseph T. A. Arya, Vishala Junkins, John L. Systems and Control Dynamical Systems Optimization and Control Classical Physics A geometric interpretation of the equinoctial elements is given with a connection to orthogonal rotations and attitude dynamics in Euclidean 3-space. An identification is made between the equinoctial elements and classic Rodrigues parameters. A new set of equinoctial elements are developed using the modified Rodrigues parameters, thereby removing the coordinate singularity for retrograde equatorial orbits present in previous versions of these elements. A low-thrust trajectory optimization problem is set up using the new elements to numerically verify convergence for the two-point boundary problem, as compared to their predecessors. |
| title | Connecting the Equinoctial Elements and Rodrigues Parameters: A New Set of Elements |
| topic | Systems and Control Dynamical Systems Optimization and Control Classical Physics |
| url | https://arxiv.org/abs/2505.12812 |