Iteration procedure of choosing a low-thrust rendezvous transfer control program in problems of space debris disposal in the geostationary orbit

Abstract


The problem of controlling rendezvous between a “debris collector” spacecraft and fragments of space debris in the geostationary orbit is studied. Relative motion in the orbital cylindrical coordinate system is considered. A linearized model of motion is used; relative motion is divided into periodic and secular components on the basis of the model. Motion control is carried out by thrust acceleration reversal. The problem of control is divided into two parts. The first iteration implies analytical determination of a control program using a linearized motion model. The program is based on the control of secular components of relative motion. The second iteration consists in refining the control program obtained earlier using the original math model and the analytical solution obtained in the first iteration. Numerical simulation of motion is carried out. We established that it is rational to start the rendezvous transfer at the moment when the “debris collector” spacecraft is positioned below and to the right or above and to the left relative to the space debris fragment.


About the authors

G. A. Philippov

Samara National Research University

Author for correspondence.
Email: filippov@ssau.ru

Russian Federation

post-graduate student of the Department of Space Engineering

References

  1. Ishkov S.A., Filippov G.A. Choice of design characteristics of «garbage collector» spacecraft with a low-thrust electrojet engine. Vestnik of the Samara State Aerospace University. 2014. No. 4 (46). P. 30-38. (In Russ.)
  2. Konstantinov M.S., Kamenkov E.F., Perelygin B.P., Bezverbyy V.K. Mekhanika kosmicheskogo poleta [Mechanics of space flight]. Moscow: Mashinostroenie Publ., 1989. 406 p.
  3. Ishkov S.A. Rendezvous transfer of spacecraft with low thrust at near-circular orbits. Cosmic research. 1992. V. 30, Iss. 2. P. 165-179.
  4. Ishkov S.A., Filippov G.A., Khramov A.A. Nominal control program for rendezvous transfer of spacecraft debris collector with electro rocket engine of low thrust at geostationary orbit. Izvestiya Samarskogo nauchnogo tsentra RAN. 2016. V. 18, no. 4-6. P. 1215-1222. (In Russ.)
  5. Bakhvalov N.S., Zhidkov N.P., Kobel'kov G.M. Chislennye metody [Numerical methods]. Moscow: BINOM. Laboratoriya Znaniy Publ., 2008. 636 p.
  6. Tvorcheskoe nasledie Sergeya Pavlovicha Koroleva. Izbrannye Trudy i dokumenty / pod red. M.V. Keldysha [Creative heritage of Sergey Pavlovich Korolyov / ed. by Keldysh]. Moscow: Nauka Publ., 1980. 592 p.
  7. Kozlov V.V. The iterative convergence principle in space television. Information and Space. 2012. No. 1. P. 82-84. (In Russ.)
  8. Dzesov R.A., Zhukov V.N., Melnikov E.K., Pavlov V.P. Ballistic analysis of fast scheme for rendezvous between transport vehicles and the International Space Station. Vestnik Moskovskogo Aviatsionnogo Instituta. 2014. V. 21, no. 3. P. 73-79. (In Russ.)

Statistics

Views

Abstract - 50

PDF (Russian) - 38

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