Skip to main content
SpringerLink
Log in

Joint Optimization of Control and Main Trajectory and Design Parameters of an Interplanetary Spacecraft with an Electric Propulsion System

  • Published:
Cosmic Research Aims and scope Submit manuscript

Abstract—

The problem of joint optimization of thrust vector control programs and main trajectory and design parameters of an interplanetary spacecraft with an electric propulsion system (EPS) is studied. The purpose of optimization is maximizing the useful spacecraft mass. For mathematical models of a controlled-in-thrust and single-mode EPS with a constant exhaust velocity and for a fixed duration of transfer over a heliocentric trajectory, the necessary conditions are obtained for joint optimality of: (a) thrust vector control, (b) departure hyperbolic velocity excess vector, (c) departure date, (d) EPS specific impulse, (e) maximum EPS power, and (f) maximum power of spacecraft’s power supply system. It is shown that, for some problems of practical interest, the optimum value of EPS thrust is equal to its minimum permissible value. The results can be of interest at the early stages of designing an interplanetary spacecraft with EPS and for justifying the choice of main parameters of developed electric propulsion thrusters.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.
Fig. 9.

Similar content being viewed by others

REFERENCES

  1. Grodzovskii, G.L., Ivanov, Yu.N., and Tokarev, V.V., Mekhanika kosmicheskogo poleta s maloi tyagoi (Mechanics of Low Thrust Space Flight), Moscow: Nauka, 1966.

  2. Irving, J.H., Low thrust flight: Variable exhaust velocity in gravitational fields, in Space Technology, Seifert, H.S., Ed., New York: John Wiley and Sons, 1959.

    Google Scholar 

  3. Vavrina, M.A., Englander, J.A., and Ghosh, A.R., Coupled low-thrust trajectory and system optimization via multi-objective hybrid optimal control, in AAS/AIAA Space Flight Mechanics Meeting, American Astronautical Society, 2015, 2015-397.

  4. Kwon, K., Lantoine, G., Russell, R.P., and Mavris, D.N., A study on simultaneous design of a Hall effect thruster and its low-thrust trajectory, Acta Astronaut., 2016, vol. 119, pp. 34–47.

    Article  Google Scholar 

  5. Petukhov, V.G., Joint optimization of the low-thrust trajectory and the main design parameters of electric propulsion system, in Proceedings of the International Astronautical Congress (IAC-15), Jerusalem, 2015, C1.1.5, pp. 1–9.

  6. Petukhov, V.G. and Ivanyukhin, A.V., Joint optimization of main design parameters of electric propulsion system and spacecraft trajectory, Izv. Ross. Akad. Nauk: Energetika, 2016, no. 2, pp. 92–101.

  7. Klimov, S.S., Joint optimization of trajectories and power system parameters of Martian expedition systems with electric propulsion systems, Kosmonavt. Raketostr., 2017, no. 4, pp. 71–83.

  8. Proton Launch System Mission Planner’s Guide, Revision 7, International Launch Services, 2009.

  9. Soyuz User’s Manual, Arianespace, Issue 2, Revision 0, March 2012.

  10. Egorov, V.A. and Gusev, L.I., Dinamika pereletov mezhdu Zemlei i Lunoi (Dynamics of Flights between the Earth and Moon), Moscow: Nauka, 1980.

  11. Mekhanika kosmicheskogo poleta (Space Flight Mechanics), Mishin, V.P., Ed., Moscow: Mashinostroenie, 1989.

    Google Scholar 

  12. Bate, R.R., Mueller, D.D., and White, J.E., Fundamentals of Astrodynamics, New York: Dover, 1971.

    Google Scholar 

  13. Petukhov, V.G., Optimization of interplanetary trajectories for spacecraft with ideally regulated engines using the continuation method, Cosmic Res., 2008, vol. 46, no. 3, pp. 219–232.

    Article  ADS  Google Scholar 

  14. Petukhov V.G. Method of continuation for optimization of interplanetary low-thrust trajectories, Cosmic Res., 2012, vol. 50, no. 3, pp. 249–261.

    Article  ADS  Google Scholar 

  15. Ivanyukhin, A.V. and Petukhov, V.G., The thrust minimization problem and its applications, Cosmic Res., 2015, vol. 53, no. 4, pp 300–310.

    Article  ADS  Google Scholar 

  16. Petukhov, V.G., Minimum-thrust problem and its application to trajectory optimization with thrust switchings. in Proceedings of the International Astronautical Congress (IAC-13), Beijing, 2013, C1.6.2.

  17. Ivanyukhin, A.V., Domain of existence of solutions in the problem of optimal control of limited-thrust spacecraft, Sovrem. Mat. Fundam. Napravleniya, 2016, vol. 62, pp. 100–123.

    Google Scholar 

Download references

FUNDING

The study was supported by a grant of the Russian Science Foundation (agreement No. 16-19-10 429).

Author information

Authors and Affiliations

  1. Research Institute of Applied Mechanics and Electrodynamics, Moscow Aviation Institute, 125080, Moscow, Russia

    V. G. Petukhov & A. V. Ivanyukhin

  2. Peoples Friendship University of Russia, 117198, Moscow, Russia

    A. V. Ivanyukhin

  3. Moscow Aviation Institute, 125993, Moscow, Russia

    Woo Sang Wook

Authors
  1. V. G. Petukhov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Ivanyukhin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Woo Sang Wook
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to V. G. Petukhov, A. V. Ivanyukhin or Woo Sang Wook.

Additional information

Translated by Yu. Preobrazhensky

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Petukhov, V.G., Ivanyukhin, A.V. & Sang Wook, W. Joint Optimization of Control and Main Trajectory and Design Parameters of an Interplanetary Spacecraft with an Electric Propulsion System. Cosmic Res 57, 188–203 (2019). https://doi.org/10.1134/S0010952519030079

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0010952519030079

Search

Navigation