5 papers
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…
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…
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…
Nonlinearly self-interacting extended bodies move as test bodies in effective external fields
Abraham I. Harte, Francisco M. Blanco, Eanna E. Flanagan
In electromagnetism, linearized general relativity, and other contexts, previous work has shown that the laws of motion which govern compact, self-interacting bodies can be obtaine…
Local Hamiltonian dynamics from non-local action principles and applications to binary systems in general relativity
Francisco M. Blanco
We consider a class of finite-dimensional dynamical systems whose equations of motion are derived from a non-local-in-time action principle. The action functional has a zeroth orde…