论文标题
在两个轨道机构之间创造确定性的碰撞
Creating deterministic collisions between two orbiting bodies
论文作者
论文摘要
我们旨在通过将时间依赖性的外力应用于一个或两个身体，无论这些身体是相互排斥的，例如在两种或多电子原子案例中，或相互吸引力，例如在行星轨道案例中。具体而言，我们设计了一个数学框架，用于通过将内部轨道体发射到更高的能量上，从而使这种内部的身体与外体相撞，从而导致确定性碰撞。我们的方法首先在数学上表达问题，因为耦合的非线性微分方程具有时间依赖性的驱动力，并求解以找到用于力函数的可行解决方案。尽管我们的计算严格基于经典物理，但我们的方法适用于具有两个高度激发电子的氦气情况，并且对于在引力案例（例如我们的太阳系）中造成碰撞也有效。
We aim to create deterministic collisions between orbiting bodies by applying a time-dependent external force to one or both bodies, whether the bodies are mutually repulsive, as in the two- or multi-electron atomic case or mutually attractive, as in the planetary-orbit case. Specifically, we have devised a mathematical framework for causing deterministic collisions by launching an inner orbiting body to a higher energy such that this inner body is guaranteed to collide with the outer body. Our method first expresses the problem mathematically as coupled nonlinear differential equations with a time-dependent driving force and solves to find a feasible solution for the force function. Although our calculation is based strictly on classical physics, our approach is suitable for the case of helium with two highly excited electrons and is also valid for creating collisions in the gravitational case such as for our solar system.
