Open AccessOscillations of rotating bodies: a self‐adjoint formalism applied to dynamic tides and tidal capture
Author(s) -
Papaloizou J. C. B.,
Ivanov P. B.
Publication year - 2005
Publication title -
monthly notices of the royal astronomical society: letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.067
H-Index - 122
eISSN - 1745-3933
pISSN - 1745-3925
DOI - 10.1111/j.1745-3933.2005.00107.x
Subject(s) - physics , polytrope , angular momentum , classical mechanics , inertial frame of reference , tidal force , excitation , formalism (music) , mechanics , polytropic process , astrophysics , quantum mechanics , art , musical , visual arts
We consider the excitation of the inertial modes of a uniformly rotating fully convective body due to a close encounter with another object. This could lead to a tidal capture or orbital circularization depending on whether the initial orbit is unbound or highly eccentric. We develop a general self‐adjoint formalism for the response problem and thus solve it taking into account the inertial modes with m = 2 for a full polytrope with n = 1.5. We are accordingly able to show in this case that the excitation of inertial modes dominates the response for large impact parameters and thus cannot be neglected in calculations of tidal energy and angular momentum exchange or orbital circularization from large eccentricity.