论文标题
摄动理论和天体力学中的规范坐标
Perturbation theory and canonical coordinates in celestial mechanics
论文作者
论文摘要
KAM理论的大部分成功归功于其最初的动机：对天体力学问题的应用。该申请由60年代的V.I. Arnold提出，他命名了基本定理（FT），特别是为行星问题而设计的。但是，只有在大约50年后，一组坐标通过旋转来建设性地采用不变性并考虑到近距离综合性时，才可以在此目的真正使用ft。从那时起，在对问题的符合性评估中取得了一些进展，在这里我们回顾了这些结果。
KAM theory owes most of its success to its initial motivation: the application to problems of celestial mechanics. The masterly application was offered by V.I.Arnold in the 60s who worked out a theorem, that he named the Fundamental Theorem (FT), especially designed for the planetary problem. However, FT could be really used at that purpose only when, about 50 years later, a set of coordinates constructively taking the invariance by rotation and close-to-integrability into account was used. Since then, some progress has been done in the symplectic assessment of the problem, and here we review such results.
