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Low-Energy Sub-Optimal Low-Thrust Trajectories to Libration Points and Halo-Orbits

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Abstract—

The paper considers the problem of calculating direct and low-energy, low-thrust trajectories to the libration points of the Earth–Moon system and to halo-orbits. A method for solving the problem is proposed. It consists of calculating stable manifolds of libration points or halo-orbits and calculating a low-thrust trajectory from an initial circular Earth orbit to the given point of this manifold using sub-optimal feedback control. With a fixed final mass of a spacecraft, the last stage of calculations is reduced to solving the Cauchy problem. The numerical examples are given for the calculation of direct and low-energy trajectories to libration points and to halo-orbits and the optimization of entry points to stable manifolds for low-energy trajectories.

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Funding

This work was supported by a grant of the Russian Science Foundation (agreement No. 16-19-10429).

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Authors and Affiliations

  1. Research Institute of Applied Mechanics and Electrodynamics, Moscow Aviation Institute, 125993, Moscow, Russia

    A. V. Ivanyukhin & V. G. Petukhov

  2. Peoples Friendship University of Russia (RUDN University), 117198, Moscow, Russia

    A. V. Ivanyukhin

Authors
  1. A. V. Ivanyukhin
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  2. V. G. Petukhov
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Correspondence to A. V. Ivanyukhin or V. G. Petukhov.

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Translated by Yu. Preobrazhensky

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Ivanyukhin, A.V., Petukhov, V.G. Low-Energy Sub-Optimal Low-Thrust Trajectories to Libration Points and Halo-Orbits. Cosmic Res 57, 378–388 (2019). https://doi.org/10.1134/S0010952519050022

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  • DOI: https://doi.org/10.1134/S0010952519050022

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