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Higher Order Post-Newtonian Dynamics of Compact Binary Systems in Hamiltonian Form

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Equations of Motion in Relativistic Gravity

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 179))

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Abstract

The Hamiltonian formalism developed by Arnowitt, Deser, and Misner (ADM) is used to derive and discuss the higher order post-Newtonian dynamics and motion of compact binary systems in general relativity including proper rotation of the components. Various explicit analytic Hamiltonians will be presented for the conservative and dissipative dynamics, the latter resulting from gravitational radiation damping. Explicit analytic expressions for the orbital motion will be given.

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Authors and Affiliations

  1. Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743, Jena, Germany

    Gerhard Schäfer

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  1. Gerhard Schäfer
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Correspondence to Gerhard Schäfer .

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Editors and Affiliations

  1. ZARM University of Bremen, Bremen, Germany

    Dirk Puetzfeld

  2. ZARM University of Bremen, Bremen, Germany

    Claus Lämmerzahl

  3. Max-Planck-Institut für Gravitationsphysik, Golm, Brandenburg, Germany

    Bernard Schutz

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Schäfer, G. (2015). Higher Order Post-Newtonian Dynamics of Compact Binary Systems in Hamiltonian Form. In: Puetzfeld, D., Lämmerzahl, C., Schutz, B. (eds) Equations of Motion in Relativistic Gravity. Fundamental Theories of Physics, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-319-18335-0_18

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