Abstract
The choice of the orbital arc length for geodetic satellites depends upon the achievable accuracy in the orbit computation; the errors accumulate in a very different way in the ordered case (polynomial increase with time) and in the chaotic case (exponential accumulation). In the ordered case, the quadratic effects due to average along track non gravitational perturbations are the limiting factor. In the chaotic case, the orbit needs to be split into arcs whose size is controlled by the Lyapounov time. The exponential expansion in some directions in the phase space does not allow to accumulate geodetic information at the same rate; numerical problems arise at the bad conditioning horizon (about 20 Lyapounov times).
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© 1995 Springer-Verlag Berlin Heidelberg
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Milani, A. (1995). Accuracy of orbit computation for geodetic satellites: the ordered and the chaotic case. In: Sansò, F. (eds) Geodetic Theory Today. International Association of Geodesy Symposia, vol 114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79824-5_18
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DOI: https://doi.org/10.1007/978-3-642-79824-5_18
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