Solar System Research

, Volume 52, Issue 7, pp 630–635 | Cite as

Linearization Methods for Problems of Optimizing Low-Thrust Spacecraft Trajectories: Verification Procedure

  • P. V. KazmerchukEmail author


Several well-studied problems for optimizing low-thrust spacecraft trajectories are solved using the modified linearization method (MLM). The results are compared with the results obtained by other authors. On this basis, conclusions are drawn on the possible use of the modified linearization method for optimizing low-thrust spacecraft trajectories.


linearization method low thrust nonlinear optimization 


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  1. Efanov, V.V. and Semunkina, V.I., The way to choose orbits’ type for optical-electronic observation space systems, Polet, 2010, no. 11, pp. 3–8.Google Scholar
  2. Efanov, V.V., Semunkina, V.I., and Shostak, S.V., Features of ballistic design of ARKON-1 remote-sensing space system for optoelectronic earth observations, Sol. Syst. Res., 2011, vol. 45, no. 7, pp. 572–576.ADSCrossRefGoogle Scholar
  3. Grodzovskii, G.L., Ivanov, Yu.N., and Tokarev, V.V., Mekhanika kosmicheskogo poleta. Problemy optimizatsii (Space Flight Mechanics. Optimization Problems), Moscow: Nauka, 1975.Google Scholar
  4. Jayaraman, T.S., Time-optimal orbit transfer trajectory for solar sail spacecraft, J. Guid., Control, Dyn., 1980, vol. 3, no. 6, pp. 536–542.ADSCrossRefzbMATHGoogle Scholar
  5. Kazmerchuk, P.V., Linearization methods for optimizing the low thrust spacecraft trajectory: theoretical aspects, Sol. Syst. Res., 2016a, vol. 50, no. 7, pp. 587–592.ADSCrossRefGoogle Scholar
  6. Kazmerchuk, P.V., Linearization method in the problems on optimizing the trajectory of low thrust spacecraft. Elements of implementation, Vestn. NPO im. S.A. Lavochkina, 2016b, no. 4, pp. 61–66.Google Scholar
  7. Kazmerchuk, P.V., Linearization method in the problems on optimizing the trajectory of low thrust spacecraft. The way to solve test problems, Vestn. NPO im. S.A. Lavochkina, 2017, no. 4, pp. 47–52.Google Scholar
  8. Kelly, H.J., Gradient theory of optimal flight path, ARS J. 1960, vol. 30, no. 10, pp. 59–64.Google Scholar
  9. Kim, M., Continuous low-thrust trajectory optimization: techniques and applications, PhD Thesis, Blackburg, Va: Virginia Polytech. Inst. State Univ., 2005.Google Scholar
  10. Zhukov, A.N. and Lebedev, V.N., Variational problem on the light between helio-synchronized round orbits by using solar sail, Kosm. Issl., 1964, vol. 2, no. 1, pp. 46–50.Google Scholar

Copyright information

© Pleiades Publishing, Inc. 2018

Authors and Affiliations

  1. 1.Lavochkin AssociationKhimki, Moscow oblastRussia

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