Domain of existence of solutions in the optimal control problem for a~spacecraft with limited thrust

A. V. Ivanyukhin

Contemporary Mathematics. Fundamental Directions, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), Tome 62 (2016), pp. 100-123.

Résumé

We consider several most common optimal control problems for a low-thrust spacecraft. We investigate the existence of solutions for these problems. In the model with limited thrust, we use the numerical approach for construction of the domain of existence. As examples, we consider interplanetary transfers Earth–Mars and Earth–Mercury.

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