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The Journal of the Astronautical Sciences

, Volume 65, Issue 2, pp 135–156 | Cite as

Rapid Charged Geosynchronous Debris Perturbation Modeling of Electrodynamic Disturbances

  • Joseph Hughes
  • Hanspeter Schaub
Article

Abstract

Charged space objects experience small perturbative torques and forces from their interaction with Earth’s magnetic field. These small perturbations can change the orbits of lightweight, uncontrolled debris objects dramatically even over short periods. This paper investigates the effects of the isolated Lorentz force, the effects of including or neglecting this and other electromagnetic perturbations in a full propagation, and then analyzes for which objects electromagnetic effects have the most impact. It is found that electromagnetic forces have a negligible impact on their own. However, if the center of charge is not collocated with the center of mass, electromagnetic torques are produced which do impact the attitude, and thus the position by affecting the direction and magnitude of the solar radiation pressure force. The objects for which electrostatic torques have the most influence are charged above the kilovolt level, have a difference between their center of mass and center of charge, have highly attitude-dependent cross-sectional area, and are not spinning stably about an axis of maximum inertia. Fully coupled numerical simulation illustrate the impact of electromagnetic disturbances through the solar radiation pressure coupling.

Keywords

Electrostatics Perturbations HAMR 

References

  1. 1.
    Schildknecht, T., Muscia, R., Plonera, M., Beutlera, G., Fluryb, W., Kuuselac, J., Leon Cruzd, J.d., Fatima Dominguez Palmerod, L.d.: Optical observations of space debris in GEO and in highly-eccentric orbits. In: Advances in Space Research, pp 901–911 (2004)Google Scholar
  2. 2.
    Wiesel, W.E.: Estimating nongravitational accelerations on high area to mass ratio objects. J. Guid. Control. Dyn. 39 (2016)Google Scholar
  3. 3.
    Schildknecht, T., Musci, R, Frueh, C., Ploner, M.: Color photometry and light curve observations of space Debris in GEO. In: Procedings of the internaitonal astronautical congress (2008)Google Scholar
  4. 4.
    Dever, J.A., Groh, K.K.d., Townsend, J.A., Townsend, J.A.: Mechanical properties degradation of teflon FEP returned from the hubble space telescope. In: A. I. o. Aeronautics and Astronautics (ed.) 36th Aerospace Sciences Meeting and Exhibit (1998)Google Scholar
  5. 5.
    Fennell, J.F., Koons, H.C., Leung, M., Mizera, P.: A Review of SCATHA Satellite Results: Charging and Discharging. Tech. Rep. TR-0084A(5940-05)-7. The Aerospace Corporation, El Segundo (1983)Google Scholar
  6. 6.
    Früh, C., Ferguson, D., Lin, C., Jah, M.: The effect of passive electrostatic charging on Near-Geosynchronous High Area-To-Mass ratio objects. In: Proceedings AAS space flight mechanics meeting, Santa Fe (2014)Google Scholar
  7. 7.
    Paul, S.N., Früh, C.: Space Debris charging and its effect on orbit evolution. J. Guid. Control. Dyn. 0, 1–19 (2017)Google Scholar
  8. 8.
    Hughes, J., Schaub, H.: Charged geosynchronous debris perturbation using rapid electromagnetic force and torque evaluation. In: Advanced maui optical and space surveillance technologies conference (2016)Google Scholar
  9. 9.
    Stevenson, D., Schaub, H.: Multi-Sphere method for modeling electrostatic forces and torques. Adv. Space Res. 51, 10–20 (2013).  https://doi.org/10.1016/j.asr.2012.08.014 CrossRefGoogle Scholar
  10. 10.
    Stevenson, D.: Optimization of sphere population for electrostatic multi sphere model. In: 12th spacecraft charging technology conference, Kitakyushu, pp 14–18 (2012)Google Scholar
  11. 11.
    Hughes, J., Schaub, H.: Appropriate fidelity electrostatic force evaluation considering a range of spacecraft separations. In: AAS/AIAA Spaceflight Mechanics Meeting (2016)Google Scholar
  12. 12.
    Price, S., Stone, A., Alderton, M.: Explicit formulae for the electrostatic energy, forces and torques between a pair of molecules of arbitrary symmetry. Mol. Phys. 52(4) (1984)Google Scholar
  13. 13.
    Giancoli, D.C.: Physics for scientists and engineers. Pearson Prentice Hall, Upper Saddle River (2008)Google Scholar
  14. 14.
    Griffiths, D.J.: Introduction to electrodynamics, 3rd edn. Prentice Hall, Upper Saddle River (1999)Google Scholar
  15. 15.
    Malaspina, D.M., Wygant, J.R., Ergun, R.E., Reeves, G.D., Skoug, R.M., Larsen, B.A.: Electric field structures and waves at plasma boundaries in the inner magnetosphere. J. Geophys. Res. Space Phys. 120, 4246–4263 (2015)CrossRefGoogle Scholar
  16. 16.
    Lai, S.T.: Fundamentals of spacecraft charging: spacecraft interactions with space plasmas. Princeton University Press, Princeton (2011)CrossRefGoogle Scholar
  17. 17.
    Ortiz Gomez, N., Walker, S.J.I.: Eddy currents applied to de-tumbling of space debris: feasibility analysis, design and optimization aspects. Acta Astronaut. 114, 34–53 (2015)CrossRefGoogle Scholar
  18. 18.
    Wie, B.: Space Vehicle Dynamics and Control, 2nd edn. AIAA Education Series, Reston (2008)CrossRefzbMATHGoogle Scholar
  19. 19.
    Tsyganenko, N.A.: A Magnetospheric magnetic field model with a warped tail current sheet. Planet. Space Sci. 37, 5–20 (1989)CrossRefGoogle Scholar
  20. 20.
    Maxwell, J.: A treatise on electricity and magnetism. Oxford University Press, Oxford (1893)zbMATHGoogle Scholar
  21. 21.
    Allen, D.N.D.G., Dennis, S.C.R.: The application of relaxiation methods to the solution of differential equations in three dimensions. Q. J. Mech. Appl. Math. 6, 87 (1953)Google Scholar
  22. 22.
    Reitan, D.K., Higgins, T.J.: Accurate determination of the accurate determination of the capacitance of a thin rectangular plate. Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics 75 (6), 761–766 (1957)Google Scholar
  23. 23.
    McMahon, J., Scheeres, D.J.: A new navigation force model for solar radiation pressure. AIAA Journal of Guidance, Control and Dynamics 33, 1418–1428 (2010)CrossRefGoogle Scholar
  24. 24.
    Ferguson, D.C., Denig, W.F., Rodriguez, J.V.: Plasma conditions during the galaxy 15 anomaly and the possibility of ESD from subsurface charging. In: AIAA aerospace sciences meeting including the new horizons forum and aerospace exposition, pp 2011–1061. Paper AIAA, Orlando (2011)Google Scholar

Copyright information

© American Astronautical Society 2018

Authors and Affiliations

  1. 1.275 ECEE, 431 UCB, University of COBoulderUSA
  2. 2.321 ECNT, 431 UCB, University of COBoulderUSA

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