New non-orbit-averaged 2.5PN equations for eccentric non-spinning black-hole binaries derived via energy-momentum mappings, showing Peters 1964 orbit-averaged equations break at first pericenter.
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5 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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An analytical 2PN solution is constructed for the orbital and spin dynamics of eccentric, arbitrarily spinning binary black holes, with spin oscillations retained only at 1.5PN accuracy.
The work establishes conservation of several quantities in Kerr black hole scattering and presents evidence that a spinning probe satisfies asymptotic integrability to quartic spin order at all post-Minkowskian orders.
Two closed-form solutions for the 1.5PN Hamiltonian of spinning eccentric binary black holes are derived by combining prior methods, implemented in the public BBHpnToolkit package, and verified against numerical integration.
Derives the fifth action for 1.5PN BBH with arbitrary eccentricity, spins, and masses, completing action-angle variables for analytical dynamics solution.
citing papers explorer
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Non-adiabatic dynamics of eccentric black-hole binaries in post-Newtonian theory
New non-orbit-averaged 2.5PN equations for eccentric non-spinning black-hole binaries derived via energy-momentum mappings, showing Peters 1964 orbit-averaged equations break at first pericenter.
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Analytical Solution of Spinning, Eccentric Binary Black Hole Dynamics at the Second Post-Newtonian Order
An analytical 2PN solution is constructed for the orbital and spin dynamics of eccentric, arbitrarily spinning binary black holes, with spin oscillations retained only at 1.5PN accuracy.
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Unexpected Symmetries of Kerr Black Hole Scattering
The work establishes conservation of several quantities in Kerr black hole scattering and presents evidence that a spinning probe satisfies asymptotic integrability to quartic spin order at all post-Minkowskian orders.
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Closed-form solutions of spinning, eccentric binary black holes at 1.5 post-Newtonian order
Two closed-form solutions for the 1.5PN Hamiltonian of spinning eccentric binary black holes are derived by combining prior methods, implemented in the public BBHpnToolkit package, and verified against numerical integration.
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Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order
Derives the fifth action for 1.5PN BBH with arbitrary eccentricity, spins, and masses, completing action-angle variables for analytical dynamics solution.