A new general normal mode approach to dynamic tides in rotating stars with realistic structure and its applications

TL;DR

This paper introduces a unified normal mode approach to analyze dynamic tides in rotating stars with realistic structures, applicable to binary systems and exoplanets, enhancing understanding of tidal energy and angular momentum transfer.

Contribution

It presents a new general formalism for modeling dynamic tides in rotating stars, incorporating realistic stellar structures and various damping mechanisms.

Findings

Applicable to both periodic and parabolic orbits

Provides expressions for tidal energy and angular momentum transfer

Discusses applications to binary stars and exoplanets

Abstract

We review our recent results on a unified normal mode approach to dynamic tides proposed in Ivanov, Papaloizou $\&$ Chernov (2013) and Chernov, Papaloizou $\&$ Ivanov (2013). Our formalism can be used whenever the tidal interactions are mainly determined by normal modes of a star with identifiable regular spectrum of low frequency modes. We provide in the text basic expressions for tidal energy and angular momentum transfer valid both for periodic and parabolic orbits, and different assumptions about efficiency of normal mode damping due to viscosity and/or non-linear effects and discuss applications to binary stars and close orbiting extrasolar planets.