论文标题
自由旋转的椭圆形行星的惯性模式及其与营养的关系
Inertial modes of a freely rotating ellipsoidal planet and their relation to nutations
论文作者
论文摘要
我们计算具有椭圆形的无粘性流体芯和完美刚性的地幔的自由旋转两层行星模型的惯性模式。 We present a method to derive analytical formulae for the frequencies of the Free Core Nutation (FCN) and Chandler Wobble (CW) which are valid to all orders of the dynamical flattening of the core and mantle, and we show how the FCN and CW are the direct generalisation of the purely fluid Spin-Over mode (SO) and of the Eulerian Wobble (EW) to the case where the mantle can oscillate自由围绕稳定旋转的状态自由。通过用于轴对称（块状球体）行星的数值计算，我们证明了稳定旋转的流体芯的所有其他惯性模式也是自由旋转的两层行星的自由模式。
We compute the inertial modes of a freely rotating two-layer planetary model with an ellipsoidal inviscid fluid core and a perfectly rigid mantle. We present a method to derive analytical formulae for the frequencies of the Free Core Nutation (FCN) and Chandler Wobble (CW) which are valid to all orders of the dynamical flattening of the core and mantle, and we show how the FCN and CW are the direct generalisation of the purely fluid Spin-Over mode (SO) and of the Eulerian Wobble (EW) to the case where the mantle can oscillate freely around a state of steady rotation. Through a numerical computation for an axisymmetric (oblate spheroidal) planet, we demonstrate that all other inertial modes of the steadily rotating fluid core are also free modes of the freely rotating two-layer planet.
