Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multifidelity Orbit Uncertainty Propagation using Taylor Polynomials   A new multifidelity method is developed for nonlinear orbit uncertainty
propagation. This approach guarantees improved computational efficiency and
limited accuracy losses compared to fully high-fidelity counterparts. The
initial uncertainty is modeled as a weighted sum of Gaussian distributions
whose number is adapted online to satisfy the required accuracy. As needed,
univariate splitting libraries are used to split the mixture components along
the direction of maximum nonlinearity. Differential Algebraic techniques are
used to propagate these Gaussian kernels and compute a measure of nonlinearity
required for the split decision and direction identification. Taylor expansions
of the flow of the dynamics are computed using a low-fidelity dynamical model
to maximize computational efficiency and corrected with selected high-fidelity
samples to minimize accuracy losses. The effectiveness of the proposed method
is demonstrated for different dynamical regimes combining SGP4 theory and
numerical propagation as low- and high-fidelity models respectively.

9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg