空气阻力作用下抛体运动最大高度的轨迹
On the locus formed by the maximum heights of projectile motion with air resistance
摘要：
我们提出了一个分析的几何位置所形成的一组最大值的轨迹发射的弹丸在介质中的线性阻力。这样一个地方，顶点的轨迹，是写在朗伯$W$功能在极坐标，确认这个功能中发挥的特殊作用的问题。为了表征的轨迹，它的曲率的研究提出了两个参数化，在发射角和极性的。将最大曲率角与抛射体问题中的其它重要角进行了比较。作为补充，我们发现在这个问题中的同步曲线是一个圆在无阻力的情况下。
英文摘要：
We present an analysis on the geometrical place formed by the set of maxima of the trajectories of a projectile launched in a media with linear drag. Such a place, the locus of apexes, is written in term of the Lambert $W$ function in polar coordinates, confirming the special role played by this function in the problem. In order to characterize the locus, a study of its curvature is presented in two parameterizations, in terms of the launch angle and in the polar one. The angles of maximum curvature are compared with other important angles in the projectile problem. As an addendum, we find that the synchronous curve in this problem is a circle as in the drag-free case.
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