Some results following from the implications of nonlocal-in-time kinetic energy approach introduced recently by Suykens in the framework of rotational dynamics and motion in a non-inertial frame are discussed. Their roles in treating aspects concerning the nonlocal motion relative to Earth, the free-fall problem, the Foucault pendulum and the motion of a massive body in a rotating tube are analyzed. Governing nonlocal equations of fluid dynamics in particular the nonlocal-in-time Navier–Stokes equations are constructed under the influence of Earth rotation. Their properties are analyzed and a number of features were revealed and discussed accordingly.

中文翻译：

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行星系统中的急动度和旋转动力学、相对于地球的非局域运动以及旋转地球框架中的非局域流体动力学

讨论了 Suykens 最近在非惯性系中的旋转动力学和运动框架中引入的非局部时间动能方法的含义所得出的一些结果。分析了它们在处理相对于地球的非局域运动、自由落体问题、傅科摆和旋转管中大质量物体的运动方面的作用。流体动力学的非局部方程，特别是非局部时间纳维-斯托克斯方程是在地球自转的影响下构建的。对它们的属性进行了分析，并相应地揭示和讨论了许多特征。