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Adiabatic radiation reaction to the orbits in Kerr Spacetime
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abstract
Geodesic motion of a point particle in Kerr geometry has three constants of motion, energy $E$, azimuthal angular momentum $L$, and Carter constant $Q$. Under the adiabatic approximation, radiation reaction effect is characterized by the time evolution of these constants. In this letter we show that the scheme to evaluate them can be dramatically simplified.
Forward citations
Cited by 4 Pith papers
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Analytic Solution for the Motion of Spinning Particles in Kerr Space-Time
A small worldline shift, built from the hidden symmetry of Kerr spacetime, separates the linear-in-spin equations of motion and yields a closed-form analytic trajectory.
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Secular evolution of orbital parameters for general bound orbits in Kerr spacetime
Analytic formulas for the orbit-averaged gravitational-wave fluxes of energy, angular momentum, and Carter constant for generic bound Kerr orbits are extended to 6PN order and O(e^16) in eccentricity, with numerical T...
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Resonant interactions from dynamical perturbers on generic orbits around an extreme mass ratio inspiral
A numerical scan of 141,130 third-body resonances in EMRI systems finds no action changes above 1% but some waveform phase shifts near 0.1 radian.
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Analytic Solutions to Compact Binary Inspirals With Leading Order Spin-Orbit Contribution Using The Dynamical Renormalization Group
The paper applies dynamical renormalization group resummation to produce analytic inspiral trajectories and spin precession for spinning compact binaries at leading spin-orbit order.
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