论文标题
太空海盗：涉及迟滞时间的追踪曲线问题
Space pirates: a pursuit curve problem involving retarded time
论文作者
论文摘要
考虑到这些信息以有限的速度传播，我们在18世纪重新审视了Pierre Bouguer在18世纪解决的经典追求曲线问题。在一定程度上，这可以看作是对该问题的相对论纠正，尽管人们不需要爱因斯坦的相对论来得出或理解其解决方案。对这种追求的广义问题的讨论构成了一个绝佳的机会，可以介绍迟滞时间的概念，而无需研究电磁辐射的并发症（通常是第一次看到它的情况），这赋予了该问题的清晰教学动机。我们找到了描述问题的微分方程，以数值为单位，将解决方案与布格尔的参数值进行比较，并推断出追求者捕捉hoenselaers先前工作的必要条件。
We revisit the classical pursuit curve problem solved by Pierre Bouguer in the 18th century, taking into account that information propagates at a finite speed. To a certain extent, this could be seen as a relativistic correction to that problem, though one does not need Einstein's theory of relativity in order to derive or understand its solution. The discussion of this generalized problem of pursuit constitutes an excellent opportunity to introduce the concept of retarded time without the complications inherent to the study of electromagnetic radiation (where it is usually seen for the first time), which endows the problem with a clear pedagogical motivation. We find the differential equation which describes the problem, solve it numerically, compare the solution to Bouguer's for different values of the parameters, and deduce a necessary and sufficient condition for the pursuer to catch the pursued, complementing previous work by Hoenselaers.
