Acta Mechanica

, Volume 225, Issue 9, pp 2685–2697 | Cite as

Dynamics of towed large space debris taking into account atmospheric disturbance

Article

Abstract

The problem of deorbiting large space debris (SLD) by means of a tethered space tug is considered. A mathematical model that describes the plane motion of the system is developed. The model takes into account the effects of the atmosphere and the rotary motion of the SLD around the SLD center of mass. The effects of the moment of tension force, gravitational moment, and pitch moment on the SLD behavior are studied. The evolution of the phase space of an angle of attack during the SLD descent is considered. Singular points are found for special cases of motion. It is shown that the effect of the atmosphere on the SLD dynamics can be neglected above an altitude of 300 km. The situation that a tether becomes slack is observed. In this case, the SLD can oscillate with increasing amplitude and even pass into rotation. This is a dangerous situation that can lead to tether rupture. A method of thrust control that provides tension in the tether during the SLD deorbiting is presented. A slack tether is also observed at atmospheric entry. This phenomenon is caused by the difference in drag forces that act on the SLD and on the space tug. The obtained results can be used in the preparation of missions of space debris deorbiting.

Abbreviations

SLD

Large space debris

STS

Space tether system

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References

  1. 1.
    Andrenucci, M., Pergola, P., Ruggiero, A.: Active Removal of Space Debris. Expanding foam application for active debris removal: final report. University of Pisa, Pisa (2011). http://www.academia.edu/776966/Active_Removal_of_Space_Debris_-_Expanding_foam_application_for_active_debris_removal
  2. 2.
    Klinkrad H., Beltrami P., Hauptmann S., Martin C., Sdunnus H., Stokes H., Walker R., Wilkinson J.: The ESA space debris mitigation handbook 2002. Adv. Space Res. 34, 1251–1259 (2004)CrossRefGoogle Scholar
  3. 3.
    GOST R 52925-2008 Space technology: General requirements for space systems to limit technogenic pollution of circumterrestrial space (National Standard of Russian Federation). Standard form. Moscow (2008) (in Russian)Google Scholar
  4. 4.
    Lewis H.G., White A.E., Crowther R., Stokes H.: Synergy of debris mitigation and removal. Acta Astronaut. 81, 62–68 (2012)CrossRefGoogle Scholar
  5. 5.
    Campbell J.W.: Using Lasers in Space: Laser Orbital Debris Removal and Asteroid Deflection. Air University, Maxwell Air Force Base, Alabama (2000)Google Scholar
  6. 6.
    Phipps C.R., Baker K.L., Libby S.B., Liedahl D.A., Olivier S.S., Pleasance L.D., Rubenchik A., Trebes J.E., George E.V., Marcovici B., Reilly J.P., Valley M.T.: Removing orbital debris with lasers. Adv. Space Res. 49, 1283–1300 (2012)CrossRefGoogle Scholar
  7. 7.
    Jasper, L.E.Z., Seubert, C.R., Schaub, H., Trushkyakov, V., Yutkin, E.: Tethered Tug for Large Low Earth Orbit Debris Removal. In: AAS Spaceflight Mechanics Meeting, January 29–February 2, Charleston, South Carolina, AAS 12-252 (2012)Google Scholar
  8. 8.
    Cougnet, C., Alary, D., Gerber, B., Utzmann, J., Wagner, A.: The debritor: an “off the shelf” based multimission vehicle for large space debris removal. In: 63rd International Astronautical Congress, 1–5 October 2012, Naples, Italy, IAC-12-A6.7.7 (2012)Google Scholar
  9. 9.
    Nishida S., Kawamoto S.: Strategy for capturing of a tumbling space debris. Acta Astronaut 68, 113–120 (2011)CrossRefGoogle Scholar
  10. 10.
    Lorenzini, E.C.: In-Space Transportation with Tethers, NASA Grant NAG8-1303. Final Report. Smithsonian Institution Astrophysical Observatory, Cambridge, Massachusetts (1999)Google Scholar
  11. 11.
    Aslanov V.S., Ledkov A.S.: Dynamics of the Tethered Satellite Systems. Woodhead Publishing Limited, Cambridge (2012)CrossRefGoogle Scholar
  12. 12.
    Cartmell M.P., McKenzie D.J.: A review of space tether research. Prog. Aerosp. Sci. 44, 1–21 (2008)CrossRefGoogle Scholar
  13. 13.
    Barkow B., Steindl A., Troger H., Wiedermann G.: Various methods of controlling the deployment of a tethered satellite. J. Vib. Control 9, 187–208 (2003)CrossRefMATHMathSciNetGoogle Scholar
  14. 14.
    Aslanov V.S.: The effect of the elasticity of an orbital tether system on the oscillations of a satellite. J. Appl. Math. Mech. 74, 416–424 (2010)CrossRefMATHMathSciNetGoogle Scholar
  15. 15.
    Aslanov, V.S., Yudintsev, V.V.: Dynamics of large debris connected to space tug by a tether. J. Guid. Control Dyn. 36, 1654–1660 (2013). doi:10.2514/1.60976 Google Scholar
  16. 16.
    Picone, J.M., Hedin, A.E., Drob, D.P., Aikin, A.C.: NRLMSISE-00 empirical model of the atmosphere[Text]: statistical comparisons and scientific issues. J. Geophys. Res. 107(A12), 1–70 (2002), article number 1468Google Scholar
  17. 17.
    Regan F.J.: Re-entry Vehicle Dynamics. AIAA, New York (1984)Google Scholar
  18. 18.
    Curti H.D.: Gravity-gradient stabilization. In: Curti, H.D. (ed.) Orbital Mechanics for Engineering Students, pp. 530–543. Elsevier Butterworth-Heinemann, Oxford (2005)Google Scholar
  19. 19.
    Anderson J.D.: Fundamentals of Aerodynamics. McGraw-Hill, New York (1984)Google Scholar
  20. 20.
    Jasper, L.E.Z., Seubert, C.R., Schaub, H., Trushkyakov, V., Yutkin, E.: Tethered tug for large low earth orbit debris removal. In: AAS/AIAA Astrodynamics Specialists Conference Astrodynamic Conference, January 29–February 2, Charleston, South Carolina, AAS 12-252 (2012)Google Scholar
  21. 21.
    Beletsky V.V., Levin E.M.: Dynamics of space tether systems. Adv. Astronaut. Sci. 83, 1–500 (1993)Google Scholar
  22. 22.
    Wiggins S.: Global Bifurcations and Chaos: Analytical Methods. Springer, New York (1988)CrossRefMATHGoogle Scholar

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© Springer-Verlag Wien 2014

Authors and Affiliations

  1. 1.Theoretical Mechanics DepartmentSamara State Aerospace UniversitySamaraRussia

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