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Construction of the Optimal Trajectories for the Earth–Asteroid–Earth Mission under High-Thrust Flight

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Abstract

The optimal trajectories of the mission to the “hazardous” asteroid Apophis, designed to study the asteroid, taking samples of its soil and returning to the Earth, are constructed and analyzed. The scheme of transfer with applying chemical “high”-thrust jet propulsion systems is used. For the transfer to the asteroid in 2019–2022, with the total mission duration being up to two years, the optimal-in-payload-mass, three-impulse trajectories of spacecraft, are obtained. The principal possibility of accomplishing the Earth–Apophis–Earth space mission, based on launch vehicles (LVs) of “Soyuz” type and “Fregat” upper stage, during the transfer in 2019–2022, is demonstrated.

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ACKNOWLEDGMENTS

In conclusion, the authors express their sincere gratitude to the staff of S.A. Lavochkin RPA: Ph. D. V.G. Paul and Ph. D. A.V. Simonov, as well as to Ph. D. I.V. Krylov for support and useful discussions of the study, as well as to participants of the V.A. Egorov seminar at the M.V. Lomonosov Moscow State University for very useful discussions of the problem and this study. The authors are grateful to graduate student Guo Peng for his help in improving the computer program and in performing calculations. V.V. Ivashkin thanks Prof. J. Martinez-Garcia, Dr. M. Bello-Mora, Dr. E. Revilla-Pedreira, Prof. P. Sanz-Arangues and Prof. T. Elices (GMV, Madrid Polytechnic University) for their support in studying the problem of flight to small celestial bodies.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    V. V. Ivashkin

  2. Bauman Moscow State Technical University, 125005, Moscow, Russia

    V. V. Ivashkin

  3. Xi’an Jiaotong University, 710049, Xi’an, Shaanxi, China

    Anqi Lan

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  1. V. V. Ivashkin
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  2. Anqi Lan
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Correspondence to V. V. Ivashkin or Anqi Lan.

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Translated by Yu. Preobrazhensky

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Ivashkin, V.V., Lan, A. Construction of the Optimal Trajectories for the Earth–Asteroid–Earth Mission under High-Thrust Flight. Cosmic Res 58, 111–121 (2020). https://doi.org/10.1134/S0010952520020057

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  • DOI: https://doi.org/10.1134/S0010952520020057

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