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- W2937432819 abstract "We present the concept of topological stability in the numerical propagation of orbits, and show how it results in a useful new method for measuring the global numerical error of an orbit propagation. The concept applies to any problem in orbital dynamics. Moreover, it can be extended to any three-dimensional system of differential equations of second order. In order to assess the topological stability of a given integration a special metric is introduced, which can be used to estimate the numerical errors robustly. The method is particularly well suited for dealing with strongly perturbed and chaotic systems. The construction is based on the constraint imposed by the Hopf map that supports the Kustaanheimo-Stiefel transformation. Generic concepts of stability are translated to KS space." @default.
- W2937432819 created "2019-04-25" @default.
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- W2937432819 date "2017-08-20" @default.
- W2937432819 modified "2023-09-23" @default.
- W2937432819 title "A new concept of stability in orbit propagation, useful for quantifying numerical errors" @default.
- W2937432819 hasPublicationYear "2017" @default.
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