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 circularisation 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 circularisation from large eccentricity.
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机译:由于与另一个物体的近距离接触,我们考虑了均匀旋转的完全对流体的惯性模态的激发。这可能会导致潮汐捕获或轨道环化,具体取决于初始轨道是未约束的还是高度偏心的。我们针对响应问题开发了一种一般的自伴随形式论,因此考虑到$ n = 1.5的完整多形体的$ m = 2 $的惯性模式来解决它,因此,在这种情况下,我们可以证明惯性模态的激发主导着对大冲击参数的响应,因此在计算潮汐能和角动量交换或由大偏心率引起的轨道圆化中不能忽略它。
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