Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermi Coordinates of an Observer Moving in a Circle in Minkowski Space:
  Apparent Behavior of Clocks   Coordinate transformations are derived from global Minkowski coordinates to
the Fermi coordinates of an observer moving in a circle in Minkowski
space-time. The metric for the Fermi coordinates is calculated directly from
the tensor transformation rule. The behavior of ideal clocks is examined from
the observer's reference frame using the Fermi coordinates. A complicated
relation exists between Fermi coordinate time and proper time on stationary
clocks (in the Fermi frame) and between proper time on satellite clocks that
orbit the observer. An orbital Sagnac-like effect exists for portable clocks
that orbit the Fermi coordinate origin. The coordinate speed of light is
isotropic but varies with Fermi coordinate position and time. The magnitudes of
these kinematic effects are computed for parameters that are relevant to the
Global Positioning System (GPS) and are found to be small; however, for future
high-accuracy time transfer systems, these effects may be of significant
magnitude.

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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: acc-phys