Open AccessA variational formalism for tidal excitation: non‐rotating, homentropic stars
Author(s) -
Rathore Yasser,
Broderick Avery E.,
Blandford Roger
Publication year - 2003
Publication title -
monthly notices of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.058
H-Index - 383
eISSN - 1365-2966
pISSN - 0035-8711
DOI - 10.1046/j.1365-8711.2003.06140.x
Subject(s) - physics , formalism (music) , classical mechanics , angular momentum , stars , excitation , celestial mechanics , newtonian fluid , astrophysics , quantum mechanics , art , musical , visual arts
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.