A variational formalism for tidal excitation: non-rotating, homentropic stars

Details A variational formalism for tidal excitation: non-rotating, homentropic stars A variational formalism for tidal excitation: non-rotating, homentropic stars

2002-08-30

arxiv.org/abs/astro-ph/0209003v2

Astronomy and Astrophysics

Astrophysics

8 pages, LaTeX, submitted to MNRAS

Scientific paper

10.1046/j.1365-8711.2003.06140.x

We present a variational formalism for describing the dynamical evolution of an oscillating star with a point-mass companion in the linear, non-relativistic regime. This includes both the excitation of normal modes and the back-reaction of the modes on the orbit. The general formalism for arbitrary fluid configurations is presented, and then specialized to a homentropic potential flow. Our formalism explicitly identifies and conserves both energy and angular momentum. We also consider corrections to the orbit up to 7/2 post-Newtonian order.

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