Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chaotic transport of navigation satellites   Navigation satellites are known from numerical studies to reside in a
dynamically sensitive environment, which may be of profound importance for
their long-term sustainability. We derive the fundamental Hamiltonian of GNSS
dynamics and show analytically that near-circular trajectories lie in the
neighborhood of a Normally Hyperbolic Invariant Manifold (NHIM), which is the
primary source of hyperbolicity. Quasi-circular orbits escape through chaotic
transport, regulated by the NHIM's stable and unstable manifolds, following a
power-law escape time distribution $P(t) \sim t^{-\alpha}$, with $\alpha \sim
0.8 - 1.5$. Our study is highly relevant for the design of satellite disposal
trajectories, using manifold dynamics.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an