A variational formalism for tidal excitation: non-rotating, homentropic stars
Identifieur interne : 000360 ( Main/Exploration ); précédent : 000359; suivant : 000361A variational formalism for tidal excitation: non-rotating, homentropic stars
Auteurs : Yasser Rathore [États-Unis] ; Avery E. Broderick [États-Unis] ; Roger Blandford [États-Unis]Source :
- Monthly Notices of the Royal Astronomical Society [ 0035-8711 ] ; 2003-02-11.
English descriptors
Abstract
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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DOI: 10.1046/j.1365-8711.2003.06140.x
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<front><div type="abstract">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.</div>
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