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Quasi-analytical solutions for the dynamics of a class of tethered satellites with Danby's aerodynamical drag

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Abstract

An analytic solution, in terms of expansion of a small parameter, for the classical two-body tethered satellite with a specific drag model is obtained. The time of flight as well as the solution regarding the state variable of the system are expressed in terms of quadratures of the anomaly.

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References

  1. Bonzani, I. and Zavattaro Chiadò Piat, M. G.: 1983,L'Aerotecnica Missili e spazio 3, 154–162.

    Google Scholar 

  2. Butefish, K. and Koppenwallner, G.: 1979Rarefied Gas Dynamics, Vol. 1, R. Campargue, Cea, Paris, p. 521.

    Google Scholar 

  3. Danby, J. M. A.: 1962,Fundamentals of Celestial Mechanics, Mac Millian Co., New York, p. 230.

    Google Scholar 

  4. Don Mittleman and Don Jezewski: 1982,Celest. Mech. 28, 401–413.

    Google Scholar 

  5. Kogan, M. N.: 1969,Rarefied Gas Dynamics, Ed. Plenum Press, New York, p. 417.

    Google Scholar 

  6. Legge, N. and Koppenwallner, G.: 1971,Rarefied Gas Dynamics, D. Dini, E. T. S. Pisa, Vol. I, pp. 481–488.

    Google Scholar 

  7. Sansone, G. and Conti, R.: 1956,Equazioni differenziali non lineari, Cremonese, Roma, pp. 15–17.

    Google Scholar 

  8. Tisserand, F.: 1896,Traité de Mechanique Celeste 4, Chapter XIII.

  9. Zavattaro Chiadò Piat, M. G.: 1983,Mechanics Research Communication 10 (3), 157–162.

    Google Scholar 

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Bonzani, I., Piat, M.G.Z.C. Quasi-analytical solutions for the dynamics of a class of tethered satellites with Danby's aerodynamical drag. Celestial Mechanics 37, 371–385 (1985). https://doi.org/10.1007/BF01261626

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  • DOI: https://doi.org/10.1007/BF01261626

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