论文标题
通过反向归一化解决人工卫星的主要问题
Solution to the main problem of the artificial satellite by reverse normalization
论文作者
论文摘要
地球人工卫星动力学的非线性被两个正式积分封装，这些正式由扰动方法通常计算出来。标准程序始于哈密顿的简化，该简化从地球电位中删除了非必需的短期术语，然后通过两种可以按任一顺序进行的不同规范转换来删除短期和长期术语。我们偏离了传统，并按照标准归一化进行，以表明汉密尔顿简化部分是可分配的。首先将轨道平面的运动从平面运动中解耦，这是一种可行的策略，以达到较高的扰动解决方案的较高阶，此外，该策略还允许对构成分析解决方案的长序列进行有效的评估。
The non-linearities of the dynamics of Earth artificial satellites are encapsulated by two formal integrals that are customarily computed by perturbation methods. Standard procedures begin with a Hamiltonian simplification that removes non-essential short-period terms from the Geopotential, and follow with the removal of both short- and long-period terms by means of two different canonical transformations that can be carried out in either order. We depart from the tradition and proceed by standard normalization to show that the Hamiltonian simplification part is dispensable. Decoupling first the motion of the orbital plane from the in-plane motion reveals as a feasible strategy to reach higher orders of the perturbation solution, which, besides, permits an efficient evaluation of the long series that comprise the analytical solution.
