Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pioneer 10/11 clock acceleration from Schwarzschild metric and Flyby
  energy Increase   We find that a velocity dependent component from the Schwarzschild metric
factor could lead to a significant clock acceleration when the spacecraft has a
sufficiently large radial velocity. For Pioneer 10, this acceleration is about
$40\%$ of the observed acceleration with a nearly annual oscillation amplitude
with a correct order of magnitude. For Pioneer 11, we show that the "On-Set" is
caused by the flyby energy Increase to the spacecraft.

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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph