Perturbative Approach to an orbital evolution around a Supermassive black hole
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A charge-free, point particle of infinitesimal mass orbiting a Kerr black hole is known to move along a geodesic. When the particle has a finite mass or charge, it emits radiation which carries away orbital energy and angular momentum, and the orbit deviates from a geodesic. In this paper we assume that the deviation is small and show that the half-advanced minus half-retarded field surprisingly provides the correct radiation reaction force, in a time-averaged sense, and determines the orbit of the particle.
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Cited by 3 Pith papers
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Dynamics of Binary System around a Supermassive Black Hole :Binary Scattering and Eccentric vZLK Oscillations
Binaries around supermassive black holes exhibit four periapsis-dependent scattering regimes in unbound orbits and scattering-type eccentric vZLK oscillations in bound orbits within Kerr spacetime.
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Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework
A unified confluent HeunC framework with hybrid connection-coefficient computation and adaptive bi-power quadrature yields relative errors of order 10^{-11} and 2-10x speedups over existing packages for total radiativ...
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Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework
A unified confluent HeunC framework computes gravitational-wave fluxes from generic Kerr orbits with 10^{-11} relative errors and speedups of 3-60x over existing packages for low- and high-order modes.
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