Kinetik planetarer Ringe: Implikationen für die Cassini Mission

该项目的主要目标是根据动力学理论推导出行星环的扩展流体动力学描述，该理论包括基于碰撞过程中的塑性-粘弹性耗散的依赖于撞击速度的恢复系数。基本动力学中应包括聚集、破碎、自重和各向异性的影响过程。相关方程的解将提供质量谱和速度分布的动力学。应用Chapman-Enskog展开或Grad矩方法，推导出适用于行星环的水动力方程和输运系数。这些宏观方程的特征将根据粒子相互作用进行分析。对耗散结构产生的影响将得到验证。这些调查的结果将与2004年夏天到达土星的卡西尼号太空任务的观测结果进行比较。

The main goal of the proposed project is to derive an extended hydrodynamic description of planetary rings based on a kinetic theory including an impact-velocity dependent restitution coefficient based on plasto-visco-elastic dissipation during collisions. Processes of aggregation, fragmentation, the influence of self-gravity and of anisotropies shall be included in the basic kinetics. Solutions of the related equations will provide the dynamics of the mass spectrum and the velocity distribution. By applying Chapman-Enskog expansion or Grad moment approach, hydrodynamic equations and transport coefficients appropriate for planetary rings will be derived. The characteristics of these macroscopic equations will be analyzed in dependence on the particle interactions. Implications for the generation of dissipative structures will be verified. The results of these investigations will be compared with observations of the space-mission Cassini - arriving at Saturn in summer 2004.