Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orbit Uncertainty Propagation and Sensitivity Analysis With Separated
  Representations   Most approximations for stochastic differential equations with
high-dimensional, non-Gaussian inputs suffer from a rapid (e.g., exponential)
increase of computational cost, an issue known as the curse of dimensionality.
In astrodynamics, this results in reduced accuracy when propagating an
orbit-state probability density function. This paper considers the application
of separated representations for orbit uncertainty propagation, where future
states are expanded into a sum of products of univariate functions of initial
states and other uncertain parameters. An accurate generation of separated
representation requires a number of state samples that is linear in the
dimension of input uncertainties. The computation cost of a separated
representation scales linearly with respect to the sample count, thereby
improving tractability when compared to methods that suffer from the curse of
dimensionality. In addition to detailed discussions on their construction and
use in sensitivity analysis, this paper presents results for three test cases
of an Earth orbiting satellite. The first two cases demonstrate that
approximation via separated representations produces a tractable solution for
propagating the Cartesian orbit-state uncertainty with up to 20 uncertain
inputs. The third case, which instead uses Equinoctial elements, reexamines a
scenario presented in the literature and employs the proposed method for
sensitivity analysis to more thoroughly characterize the relative effects of
uncertain inputs on the propagated state.

34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ