Rotating space habitats provide artificial gravity as a physiological countermeasure for long-term space habitation, though the lived experience of a person in these habitats requires further investigation. Movement planning will require adaptation to the Coriolis and centrifugal forces. The multicultural arts of juggling may offer potential psycho-physiological countermeasures for some individuals and provide interesting insights into movement planning and arts in both microgravity and rotating habitats. Previously developed equations of motion for thrown objects in rotating habitats have not been centered within the lived rotating environment. Here, I show a set of simplified equations for object trajectories in rotating environments and their underlying mathematical framework. The full set of possible trajectories for objects thrown in rotating environments is provided and a simplified approach to the Coriolis and centrifugal force differential equation using complex algebra is demonstrated. Experimentation reported in this article was conducted on parabolic flights and an analog weightlessness and rotating apparatus. Near the surface of the Earth, thrown objects travel along parabolas. In rotating space environments, thrown objects will travel along a set of mathematical curves known as roulettes, created by a fixed circle and rolling line with generator point connected to the line. These roulette trajectories will be the everyday experience of every person living in a rotating space habitat, always.

旋转太空栖息地提供人工重力作为长期太空居住的生理对策，尽管人在这些栖息地的生活经历需要进一步调查。运动规划需要适应科里奥利力和离心力。杂耍的多元文化艺术可能为某些人提供潜在的心理生理对策，并为微重力和旋转栖息地的运动规划和艺术提供有趣的见解。先前开发的旋转栖息地中投掷物体的运动方程尚未集中在旋转环境中。在这里，我展示了一组旋转环境中物体轨迹的简化方程及其基础数学框架。提供了在旋转环境中抛出的物体的全套可能轨迹，并演示了使用复杂代数的科里奥利和离心力微分方程的简化方法。本文报道的实验是在抛物线飞行和模拟失重和旋转装置上进行的。在地球表面附近，抛出的物体沿着抛物线运动。在旋转空间环境中，投掷的物体将沿着一组称为轮盘赌的数学曲线移动，该数学曲线由固定圆和滚动线创建，生成点连接到该线。这些轮盘赌轨迹将永远是生活在旋转空间栖息地中的每个人的日常体验。