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 is 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.
Connecting the Equinoctial Elements and Rodrigues Parameters: A New Set of Elements
Journal of Guidance, Control, and Dynamics ; 46 , 9 ; 1726-1744
2023-07-12
19 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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