Abstract
We consider several of the most common optimal-control problems for low-thrust spacecrafts. We investigate the existence of solutions for those problems. For the bounded-thrust model, we use the numerical approach to construct the existence domain. As examples, we consider the Earth–Mars and Earth–Mercury interplanetary flights.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 62, Differential and Functional Differential Equations, 2016.
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Ivanyukhin, A.V. Existence Domain for Solutions of Optimal Control Problems for Bounded-Thrust Spacecrafts. J Math Sci 239, 817–839 (2019). https://doi.org/10.1007/s10958-019-04328-4
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DOI: https://doi.org/10.1007/s10958-019-04328-4