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

Rathore, Yasser and Broderick, Avery E. and Blandford, Roger (2003) A variational formalism for tidal excitation: non-rotating, homentropic stars. Monthly Notices of the Royal Astronomical Society, 339 (1). pp. 25-32. ISSN 0035-8711. http://resolver.caltech.edu/CaltechAUTHORS:20180418-162756319

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1046/j.1365-8711.2003.06140.xDOIArticle
https://arxiv.org/abs/astro-ph/0209003arXivDiscussion Paper
ORCID:
AuthorORCID
Broderick, Avery E.0000-0002-3351-760X
Blandford, Roger0000-0002-1854-5506
Additional Information:© 2003 RAS. Accepted 2002 October 4. Received 2002 October 2; in original form 2002 August 12. We would like to thank Alessandra Buonanno, Donald Lynden-Bell and Kaloyan Penev for several useful discussions. RB thanks J. Ostriker for stimulating his interest in the fate of white dwarfs captured on to compact objects. Special thanks go to the referee for improving the readability of this paper. We acknowledge support under NASA grant NAGWS-2837.
Group:TAPIR
Funders:
Funding AgencyGrant Number
NASANAGWS-2837
Subject Keywords:hydrodynamics, methods: analytical, binaries: general
Record Number:CaltechAUTHORS:20180418-162756319
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180418-162756319
Official Citation:Yasser Rathore, Avery E. Broderick, Roger Blandford; A variational formalism for tidal excitation: non-rotating, homentropic stars, Monthly Notices of the Royal Astronomical Society, Volume 339, Issue 1, 11 February 2003, Pages 25–32, https://doi.org/10.1046/j.1365-8711.2003.06140.x
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:85961
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:19 Apr 2018 18:46
Last Modified:19 Apr 2018 18:46

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