论文标题
带有液体的刚体的卡西尼状态
Cassini states of a rigid body with a liquid core
论文作者
论文摘要
这项工作的目的是确定天体的卡西尼状态的位置和稳定性，该状态具有无粘性的液体芯，周围是刚性刚性的地幔。在P：1旋转轨道共振中，旋转速度是非谐振或旋转速度的两种情况，其中P为半整数。旋转动力学由Poincaré-hough模型描述，该模型假定了核心的简单运动。这个问题是用非典型的哈密顿形式主义写的。世俗进化是在倾斜，怪异和倾向上没有任何截断的。人体处于卡西尼状态的条件写为两个方程组的一组，其未知数是地幔倾斜度和核心自旋轴的倾斜角。用汞的物理和轨道参数求解系统最多可达到16种不同的平衡构型，其中一半是频谱稳定的。在大多数这些解决方案中，核心相对于地幔高度倾斜。该模型也适用于IO和月球。
The purpose of this work is to determine the location and stability of the Cassini states of a celestial body with an inviscid fluid core surrounded by a perfectly rigid mantle. Both situations where the rotation speed is either non-resonant or trapped in a p:1 spin-orbit resonance where p is a half integer are addressed. The rotation dynamics is described by the Poincaré-Hough model which assumes a simple motion of the core. The problem is written in a non-canonical Hamiltonian formalism. The secular evolution is obtained without any truncation in obliquity, eccentricity nor inclination. The condition for the body to be in a Cassini state is written as a set of two equations whose unknowns are the mantle obliquity and the tilt angle of the core spin-axis. Solving the system with Mercury's physical and orbital parameters leads to a maximum of 16 different equilibrium configurations, half of them being spectrally stable. In most of these solutions the core is highly tilted with respect to the mantle. The model is also applied to Io and the Moon.
