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Ideal Frame and Multi-Revolution Methods for Space Debris Dynamics

  • C. Calvo (a1), B. Melendo (a1) and M. Palacios (a1)

Abstract

Using the computational advantages offered by the formulation of orbital problems with respect to the ideal frame, with or without regularization, we consider the multi–revolution methods to obtain numerically the short and long–term propagation of the resulting debris clouds after a breakup event of an operational satellite. The problem posed and solved in this form gives high efficiency. We think that software with these features will serve two purposes: it will support studies of the hazards of space debris for operational orbital space systems and also will help to create debris analysis programs more transferable and reliable.

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Copyright

References

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Bellman, K.L.: 1993, “Debris analysis workstation: A modeling environment for studies on space debris”, in: First European Conference on Space Debris (Flury, W., ed.), European Space Agency, Darmstadt, 303308.
Calvo, C., Melendo, B., and Palacios, M.: 1995, “The choice of appropriate reference systems in numerical integration of orbits”, Cahiers du Centre Européen de Géodynamique et de Séismologie 10, 99108.
Grigorief, K.V., Sochilina, A.S. and Vershkov, A.N.: 1993, “On catalogue of geostationary satellites”, in: First European Conference on Space Debris (Flury, W., ed.), European Space Agency, Darmstadt, 665669.
Landauer, C.: 1993, “Theoretical and practical issues in software for space debris modeling”, in: First European Conference on Space Debris (Flury, W., ed.), European Space Agency, Darmstadt, 299302.
McNight, D.: 1991, “Determination of breakup initial conditions”, J. Spacecraft 28, 4, 470477.
Melendo, B. and Palacios, M.: 1996, “A new approach to the construction of multi-revolution methods and their implementation”, Appl. Num. Maths. 20, 1, 116.
Palacios, M. and Calvo, C.: 1996, “Ideal frame and regularization in numerical orbit computation”, J. Astronaut. Sci. 44, 1, 6377.
Utkin, V.F. and Chekalin, S.V.: 1993, “Space debris and orbital flight safety”, in: First European Conference on Space Debris (Flury, W., ed.), European Space Agency, Darmstadt, 559562.

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