5 Result(s)
within
Alexander Wittig
Classical Mechanics
Dynamical Systems and Ergodic Theory
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Article
Open AccessProbabilistic data association: the orbit set
This paper presents a novel method to obtain the solution to the initial orbit determination problem for optical observations as a continuum of orbits—namely the orbit set—that fits the set of acquired observa...
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Article
On the predictability and robustness of Galileo disposal orbits
The end-of-life disposal of Galileo satellites is needed to avoid collisions with operational spacecraft and to prevent the generation of space debris. Either disposal into stable graveyard orbits or disposal ...
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Article
Long-term density evolution through semi-analytical and differential algebra techniques
This paper introduces and combines for the first time two techniques to allow long-term density propagation in astrodynamics. First, we introduce an efficient method for the propagation of phase space densitie...
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Article
High order transfer maps for perturbed Keplerian motion
The paper presents a new semi-analytical technique for the propagation of near-Earth satellite motion. The approach uses differential algebra techniques to compute the high order expansion of the solution of t...
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Article
Propagation of large uncertainty sets in orbital dynamics by automatic domain splitting
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 ten...
