Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relativistic Dynamics of Relative Motions (I): Post-Newtonian Extension
  of the Hill-Clohessy-Wiltshire Equations   With continuous advances in technologies related to deep space ranging and
satellite gravity gradiometry, corrections from general relativity to the
dynamics of relative orbital motions will certainly become important. In this
work, we extend,in a systematic way, the Hill-Clohessy-Wiltshire Equations to
include the complete first order post-Newtonian effects from general
relativity. Within certain short time limit, post-Newtonian corrections to
general periodic solutions of the Hill-Clohessy-Wiltshire Equations are also
worked out.

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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
23
The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex