Locally optimal control of space tug motion between the libration points of the Earth-Moon system

Abstract


The article deals with the locally optimal control of space tug transfers between the libration points of the Earth-Moon system using low-thrust engines. The control program was obtained using the Fedorenko method to find derivatives and a variable-step gradient method to optimize control laws. All flights were considered within the restricted three-body problem. The mathematical model of flight was described in a barycentric coordinate system. The total flight time was assumed as the optimization criterion. The disturbances from the Earth, the Moon and the Sun were taken into account. The influence of shadow zones created by the Earth and the Moon was examined. Laws of control, trajectories and values of the total flight time were obtained as a result of optimization.


About the authors

O. L. Starinova

Samara National Research University

Author for correspondence.
Email: solleo@mail.ru

Russian Federation

Doctor of Science (Engineering),
Professor of the Department of Space Engineering

M. K. Fain

Samara National Research University

Email: fain.maxim@gmail.com

Russian Federation

postgraduate student,
Department of Space Engineering

References

  1. Betts J.T., Erb S.O. Optimal low thrust trajectories to the moon. SIAM Journal on Applied Dynamical Systems. 2003. V. 2, Iss. 2. P. 144-170. 10.1137/s1111111102409080
  2. McKay R., Macdonald M., Biggs J., McInnes C. Survey of highly non-Keplerian orbits with low-thrust propulsion. Journal of Guidance, Control, and Dynamics. 2011. V. 34, Iss. 3. P. 645-666. doi: 10.2514/1.52133
  3. Starinova O.L., Kurochkin D.V., Materova I.L. Optimal control choice of non-Keplerian orbits with low-thrust propulsion. AIP Conference Proceedings. 2012. V. 1493. P. 964-971. doi: 10.1063/1.4765603
  4. Loeb H.W., Feili D., Popov G.A., Obukhov V.A., Balashov V.V., Mogulkin A.I., Murashkov V.M., Nesterenko A.N., Khartov S. Design of High-Power High-Specific Impulse RF-Ion Thruster. Proceedings 32nd International Electric Propulsion Conference. 2011.
  5. Jones R.M. Comparison of potential electric propulsion systems for orbit transfer. Journal of Spacecraft and Rockets. 1984. V. 21, Iss. 1. P. 88-95. doi: 10.2514/3.8612
  6. Rayman M.D., Williams S.N. Design of the first interplanetary solar electric propulsion mission. Journal of Spacecraft and Rockets. 2002. V. 39, Iss. 4. P. 589-595. doi: 10.2514/2.3848
  7. Andrews D.G., Wetzel E.D. Solar Electric Space Tug to Support Moon and Mars Exploration Missions. Collection of Technical Papers – AIAA Space 2005 Conference and Exposition. 2005. V. 2. P. 1045-1055.
  8. Starinova O.L., Fain M.K. Ballistic Optimization of the L1-L2 and L1-L2 Low Thrust Transfers in the Earth-Moon System. Recent Advances in Space Technologies. 2015. P. 95-98.
  9. Kazmerchuk P.V., Malyshev V.V., Usachev V.E. Method for optimization of trajectories including gravitational maneuvers of a spacecraft with a solar sail. Journal of Computer and Systems Sciences International. 2007. V. 46, Iss. 1. P. 150-161. doi: 10.1134/S1064230707010170
  10. Starinova O.L. Optimization methods of laws control of electric propulsion spacecraft in the restricted three-body task. AIP Conference Proceedings. 2014. V. 1637. doi: 10.1063/1.4904680
  11. Ozimek M.T., Howell K.C. Low-thrust transfers in the Earth-Moon system, including applications to libration point orbits. Journal of Guidance, Control, and Dynamics. 2010. V. 33, Iss. 2. P. 533-549. doi: 10.2514/1.43179

Statistics

Views

Abstract - 65

PDF (Russian) - 33

Article Metrics

Metrics Loading ...

PlumX

Dimensions

Refbacks

  • There are currently no refbacks.

Copyright (c) 2017 VESTNIK of Samara University. Aerospace and Mechanical Engineering

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies