Propagation of large uncertainty sets in orbital dynamics by automatic domain splitting

@inproceedings{Wittig2015PropagationOL,
  title={Propagation of large uncertainty sets in orbital dynamics by automatic domain splitting},
  author={Alexander Wittig and Pierluigi Di Lizia and Roberto Armellin and Kyoko Makino and Franco Bernelli-Zazzera and Martin Berz},
  year={2015}
}
Current approaches to uncertainty propagation in astrodynamics mainly refer to linearized models or Monte Carlo simulations. Naive linear methods fail in nonlinear dynamics, whereas Monte Carlo simulations tend to be computationally intensive. Differential algebra has already proven to be an efficient compromise by replacing thousands of pointwise integrations of Monte Carlo runs with the fast evaluation of the arbitrary order Taylor expansion of the flow of the dynamics. However, the current… CONTINUE READING