The Temporary Satellite Capture (TSC) of short-period comets, such as Oterma and Helin-Roman-Crockett, by Jupiter has intrigued astronomers for many years. A widely accepted approach to study TSC is to numerically integrate the equations of motion for the n -body problem using a wide range of initial conditions obtained from the heliocentric two- body problem; then, a search ensues for instances when the Joviocentric energy becomes negative. More recently, a preliminary analysis involving the application of Dynamical Systems Theory (DST) to the Sun-Jupiter-comet three- body problem has provided significant insight into the motion in the Sun-Jupiter system and offered a simple model to account for the TSC phenomena observed in Jupiter family short-period comets. The accuracy of this model can be immediately verified since ephemeris data is available for comet trajectories.

中文翻译：

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动力系统视角下短周期木星家族彗星的临时卫星捕获

木星的短周期彗星（如Oterma和Helin-Roman-Crockett）的临时卫星捕获（TSC）吸引了许多天文学家。研究TSC的一种广泛接受的方法是使用从日心中心 两 体问题获得的各种初始条件，对 n 体问题 的运动方程进行数值积分 。然后，搜索会在Joviocentric能量变为负数的情况下发生。最近，初步分析涉及将动力系统理论（DST）应用于太阳木星彗星 三号， 身体问题为太阳木星系统的运动提供了重要的见识，并为解释在木星家族短周期彗星中观测到的TSC现象提供了一个简单的模型。由于星历数据可用于彗星轨迹，因此可以立即验证该模型的准确性。