The effect of propellant sloshing upon the stability of a liquid-propelled space vehicle in a high-g environment has been studied extensively. For a typical space vehicle with thrust vector control and a single slosh tank, the Bauer slosh danger zone is located between the vehicle center of mass and the center of percussion while ignoring effects, like aerodynamics and axial acceleration. If the slosh mass is located between these two locations, baffles may be required to provide additional damping for stability. Although this criterion is widely used in the launch-vehicle flight control community, its application is limited to the aforementioned configuration and assumptions. In this work, the methodology behind the classic single-tank criteria is extended to other tank configurations and includes previously ignored effects. First, a vehicle with a single centerline tank and a pair of outboard reaction jets, rather than thrust vectoring, for attitude control is studied. Second, the impacts of aerodynamics and vehicle axial acceleration on the classic single-tank criteria are analyzed. Finally, the variation of the classic danger zone for a tandem tank configuration, where the tanks are located along the vehicle centerline or symmetrically offset from the centerline, is investigated.

推进剂晃动对高重力环境下液体推进的航天器稳定性的影响环境已被广泛研究。对于具有推力矢量控制和单个晃荡油箱的典型航天器，鲍尔晃荡危险区位于飞行器质心和撞击中心之间，而忽略了诸如空气动力学和轴向加速度之类的影响。如果晃动块位于这两个位置之间，则可能需要挡板来提供额外的阻尼以保持稳定性。尽管此标准已在运载火箭飞行控制社区中广泛使用，但其应用仅限于上述配置和假设。在这项工作中，经典单罐标准背后的方法被扩展到其他罐配置，并包括以前被忽略的效果。首先，车辆只有一个中心线油箱和一对舷外反作用射流，而不是推力矢量，用于姿态控制的研究。其次，分析了空气动力学和车辆轴向加速度对经典单罐标准的影响。最后，研究了串联式油箱配置的经典危险区域的变化，在这种情况下，油箱沿车辆中心线放置或从中心线对称偏移。