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On the optimility of a shape-based approach based on pseudo-equinoctial elements

Vasile, M. and De Pascale, Paolo and Casotto, Stefano (2007) On the optimility of a shape-based approach based on pseudo-equinoctial elements. Acta Astronautica, 61 (1-6). pp. 286-297. ISSN 0094-5765

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Abstract

Pseudo-equinoctial elements have been developed to generate sub-optimal first guess solutions for low-thrust transfer trajectories. In this paper we assess the optimality of such a simplified transcription technique and their suitability to initialize either direct collocation methods or indirect transcription methods. Two different shapes for the pseudo-equinoctial elements have been considered and the optimality of the resulting control profiles have been compared. Furthermore, a simple procedure to initialize an indirect method with the result provided by the pseudo-equinoctial elements is proposed.