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Analysis of the Structure of Families of Locally Optimum Solutions to the Problem of the Interplanetary Transfer of a Spacecraft with a Low-Thrust Engine

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Abstract

This paper considers the problem of the optimum interplanetary transfer of a spacecraft equipped with an uncontrolled electric propulsion system (EPS). The control-optimization criterion is considered the fuel consumption value or the transfer time, which are minimized. The maximum-principle formalism is used to find the optimum control law. Using the problem of transfer to Mars as an example, the structure and relationship of various locally optimum solutions belonging to various families of extremals is revealed.

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ACKNOWLEDGMENTS

We are grateful to V.G. Petukhov, corresponding member of the Russian Academy of Sciences, for valuable comments that contributed to significant improvements in this paper.These works were carried out within the framework of implementing the Federal Target Program “Research and Developments in Priority Areas of Developing the Scientific and Technological Complex of Russia for 2014–2020” (Agreement no. 14.577.21.0248. The unique identifier of the works (of the project) is RFMEFI57717X0248).

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Correspondence to A. L. Vorobev or R. V. Elnikov.

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Translated by Yu. Preobrazhensky

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Vorobev, A.L., Elnikov, R.V. Analysis of the Structure of Families of Locally Optimum Solutions to the Problem of the Interplanetary Transfer of a Spacecraft with a Low-Thrust Engine. Cosmic Res 56, 365–372 (2018). https://doi.org/10.1134/S0010952518050076

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  • DOI: https://doi.org/10.1134/S0010952518050076

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