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Literature Catalog: Compact Binaries: Inspiral: Hamiltonian Formalism

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Last updated July 22, 2002.

T. Damour and G. Schaefer, ``Higher-order relativistic periastron advances and binary pulsars," Nuovo Cim. 101 B, 127 (1988).

T. Damour and G. Schaefer, ``Redefinitions of positions variables and the reduction of higher-order Lagrangians, J. Math. Phys. 32, 127 (1991).

T. Damour, P. Jaranowski and G. Schaefer, `` Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation,'' Phys. Rev. D 62, 044024 (2000)

T. Damour, P. Jaranowski and G. Schaefer, `` Equivalence between the ADM-Hamiltonian and the harmonic-coordinates approaches to the third post-Newtonian dynamics of compact binaries,'' Phys. Rev. D 63, 044021 (2001) [Erratum-ibid. D 66, 029901 (2002)

T. Damour, P. Jaranowski and G. Schaefer, `` Dimensional regularization of the gravitational interaction of point masses,'' Phys. Lett. B 513, 147 (2001)

V.C. de Andrade, L. Blanchet and G. Faye, `` Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic coordinate and ADM-Hamiltonian formalisms,'' Class. Quant. Grav. 18, 753 (2001)

P. Jaranowski and G. Schaefer, `` Nonuniqueness of the third post-Newtonian binary point mass dynamics," Phys. Rev. D 57, 5948 (1998)

P. Jaranowski and G. Schaefer, `` 3rd post-Newtonian higher order Hamilton dynamics for two-body point-mass systems,'' Phys. Rev. D 57, 7274 (1998) [Erratum-ibid. D 63, 029902 (2001)]

P. Jaranowski and G. Schaefer, `` The binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part,'' Phys. Rev. D 60, 124003 (1999)

G. Schaefer, ``The gravitational quadrupole radiation-reaction force and the canonical formalism of ADM," Annals of Phys. 161, 81 (1985).

G. Schaefer, ``The ADM Hamiltonian at the postlinear approximation," Gen. Rel. and Grav. 18, 255 (1986).

 


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