In a recent paper, Price, Moss, and Gay have given a simple explanation of a paradox in the flight of a football, why the long axis of the football, contrary to intuition but in good agreement with experience, turns so that it is tangent to the path of the football. Here, we add to the analysis the assumption of only first-order differences between the direction of the velocity, the orientation of the long axis, and the direction of the total angular momentum. The result is a closed-form solution that is particularly useful in revealing the way in which nutation and precession are mixed.

中文翻译：

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美式足球螺旋传球的悖论：来自解析近似解的见解

在最近的一篇论文中，Price、Moss 和 Gay 对足球飞行中的一个悖论给出了一个简单的解释，为什么足球的长轴与直觉相反但与经验非常吻合，但它转向了切线走向足球之路。在这里，我们在分析中添加了速度方向、长轴方向和总角动量方向之间只有一阶差异的假设。结果是一个封闭形式的解决方案，在揭示章动和进动的混合方式方面特别有用。