Spinning compact binary inspiral. II. Conservative angular dynamics

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.104031· OSTI ID:21509933

Gergely, Laszlo Arpad ^[1]

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1. Department of Theoretical Physics, University of Szeged, Tisza Lajos krt 84-86, Szeged 6720 (Hungary)

We establish the evolution equations of the set of independent variables characterizing the 2PN rigorous conservative dynamics of a spinning compact binary, with the inclusion of the leading order spin-orbit, spin-spin, and mass quadrupole-mass monopole effects, for generic (noncircular, nonspherical) orbits. More specifically, we give a closed system of first order ordinary differential equations for the orbital elements of the osculating ellipse and for the angles characterizing the spin orientations with respect to the osculating orbit. We also prove that (i) the relative angle of the spins stays constant for equal mass black holes, irrespective of their orientation, and (ii) the special configuration of equal mass black holes with equal, but antialigned spins, both laying in the plane of motion (leading to the largest recoil found in numerical simulations) is preserved at 2PN level of accuracy, with leading order spin-orbit, spin-spin, and mass quadrupolar contributions included.

• OSTI ID: 21509933
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 10; Other Information: DOI: 10.1103/PhysRevD.82.104031; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COMPUTERIZED SIMULATION
CONFIGURATION
DIFFERENTIAL EQUATIONS
J-J COUPLING
L-S COUPLING
MASS
MONOPOLES
ORBITS
QUADRUPOLES
SPIN
SPIN ORIENTATION
ANGULAR MOMENTUM
COUPLING
EQUATIONS
INTERMEDIATE COUPLING
MULTIPOLES
ORIENTATION
PARTICLE PROPERTIES
SIMULATION