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gr-qc2026
The Magnusian generator for dissipative systems and application to leading 2.5PN radiation-reaction dynamics
Francisco M. Blanco
The Magnusian is a phase-space function that generates finite-time evolution through nested Poisson brackets. It is related to several familiar generators of classical dynamics, in…
gr-qc2026
Conservative and dissipative sectors in a nonlinear scalar model for the gravitational self-force problem
Francisco M. Blanco, Eanna E. Flanagan, Abraham I. Harte
When considering how self-interaction affects an object's motion, it can be convenient to decompose the self-force into conservative and dissipative pieces. As a toy model for unde…
gr-qc2026
Beyond the Separatrix: Analytic Continuation of Darwin Variables for Plunging Geodesics in Schwarzschild Spacetime
Francisco M. Blanco
We study geodesic motion of a test particle in Schwarzschild spacetime. Bound and scattering geodesics are commonly described using Darwin variables, which provide a convenient par…