不稳定平衡点在星系势中物质转移中的作用
The role of the unstable equilibrium points in the transfer of matter in galactic potentials
摘要：
利用旋转三轴系统的势研究了不稳定平衡点在星系物质转移中的作用。特别是，我们研究了这些点的能量水平和主要模型参数的零速度曲线刚刚打开，并在该地区形成一个瓶颈的邻域。对于这些能量，物质从内部转移到外部，反之亦然。我们研究如何驱动周围的不稳定平衡点的动力学，通过执行部分规范形计划和计算的不变流形的周期轨道和准周期轨道使用约化的哈密顿量。特别是，我们计算了一些同宿和异宿轨道起着至关重要的作用。我们的研究结果还表明，在缓慢旋转和/或轴对称系统的双曲线字符的平衡点被取消，使没有物质的转移是可能的通过瓶颈。
英文摘要：
We study the role of the unstable equilibrium points in the transfer of matter in a galaxy using the potential of a rotating triaxial system. In particular, we study the neighbourhood of these points for energy levels and for main model parameters where the zero velocity curves just open and form a bottleneck in the region. For these energies, the transfer of matter from the inner to the outer parts and vice versa starts being possible. We study how the dynamics around the unstable equilibrium points is driven, by performing a partial normal form scheme and by computing the invariant manifolds of periodic orbits and quasi-periodic orbits using the reduced Hamiltonian. In particular, we compute some homoclinic and heteroclinic orbits playing a crucial role. Our results also show that in slow rotating and/or axisymmetric systems the hyperbolic character of the equilibrium points is cancelled, so that no transfer of matter is possible through the bottleneck.
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