Pnigouras, Pantelis, Gittins, Fabian, Nanda, A., Andersson, Nils, Jones, David Ian
The dynamical tides of spinning Newtonian stars
Monthly Notices of the Royal Astronomical Society. 2024, 527(3): 8409-8428. https://doi.org/10.1093/mnras/stad3593
URI: http://hdl.handle.net/10045/138708
DOI: 10.1093/mnras/stad3593
ISSN: 0035-8711 (Print)
Abstract: 
We carefully develop the framework required to model the dynamical tidal response of a spinning neutron star in an inspiralling binary system, in the context of Newtonian gravity, making sure to include all relevant details and connections to the existing literature. The tidal perturbation is decomposed in terms of the normal oscillation modes, used to derive an expression for the effective Love number which is valid for any rotation rate. In contrast to previous work on the problem, our analysis highlights subtle issues relating to the orthogonality condition required for the mode-sum representation of the dynamical tide and shows how the prograde and retrograde modes combine to provide the overall tidal response. Utilising a slow-rotation expansion, we show that the dynamical tide (the effective Love number) is corrected at first order in rotation, whereas in the case of the static tide (the static Love number) the rotational corrections do not enter until second order.
Keywords:Asteroseismology, Dense matter, Equation of state, Gravitation, Gravitational waves, Hydrodynamics, Methods: analytical, Binaries: general, Stars: neutron, Stars: oscillations, Stars: rotation
Oxford University Press
info:eu-repo/semantics/article