Mathematical and numerical methods in celestial mechanics

天体力学历来是数学发现和新问题的源泉。今天仍然如此，当代空间科学的需求带来了对天体力学理论和实践方面的新一波兴趣，使其与数学和应用的联系比以往任何时候都更加紧密。天体力学的一个主要方面是对牛顿N体问题的研究，即在动力学由牛顿运动定律决定的情况下分析N点粒子的运动。现在，对n体问题的研究包括了几乎任何与牛顿n体问题相类似的动力系统，而且除了它在天文学和空间科学中提供的见解之外，它在科学和工程中有许多应用。

Celestial mechanics has historically served as a source of mathematical discovery and new problems. This is still true today where the contemporary needs of space science bring a new wave of interest in the theoretical and practical aspects of celestial mechanics making its connections with mathematics and applications stronger than ever before. One of the main aspects of celestial mechanics is the study of the Newtonian N-body problem, namely the analysis of the motion of N point particles in a setting where the dynamics are dictated by Newton's law of motion. The study of the N-body problem now includes just about any dynamical system that remotely resembles the Newtonian N-body problem, and beyond the insight it provides in astronomy and space science it has many applications in science and engineering.