Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hamiltonian for tidal interactions in compact binary systems to
  next-to-next-to-leading post-Newtonian order   In previous works, we obtained the leading, next-to-leading and
next-to-next-to-leading (NNL) post-Newtonian (PN) corrections in the
conservative tidal interactions between two compact non-spinning objects using
a Lagrangian of effective field theory (EFT) in harmonic coordinates. In the
present paper, we compute the corresponding NNL PN tidal effective Hamiltonian
in ADM-like and isotropic coordinates, with contributions from mass quadrupole,
current quadrupole and mass octupole tidal interactions, consistently included
at that level. We also derive the NNL tidal Hamiltonian in Delaunay variables.
We find full agreement in the overlap with recent results that were derived
using tools from scattering amplitudes and the EFT to second post-Minkowskian
(PM) order.

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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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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: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph