Physics
Scientific paper
May 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000stin...0073398d&link_type=abstract
Technical Report, PB2000-106221; IHES/P/00/37 ; Inst. of Theoretical Physics; Inst. of Theoretisch Physikalisches
Physics
Circular Orbits, Binary Stars, Newton Methods, Relativity, Mathematical Models, Approximation, Taylor Series, Angular Momentum, Two Body Problem, Hamiltonian Functions
Scientific paper
We discuss the analytical determination of the location of the Last Stable Orbit (LSO) in circular general relativistic orbits of two point masses. We use several different 'resummation methods' (including new ones) based on the consideration of gauge-invariant functions, and compare the results they give at the third post-Newtonian (3PN) approximation of general relativity. One of the new methods we introduce is based on the consideration of the (invariant) function linking the angular momentum and the angular frequency. We also generalize the 'effective one-body' approach of Buonanno and Damour by introducing a non-minimal (i.e., 'non-geodesic') effective dynamics at the 3PN level.
Damour Thibault
Jaranowski Piotr
Schaefer Gail
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