论文标题

关于卫星问题的分析方法

On an analytical method for the satellite problem revisited

论文作者

Saccon, Claudio, Pilloni, Niccolò

论文摘要

讨论了一种解决土地周围卫星问题的分析方法。这种方法可以追溯到Dirk Brouwer(1959),并且似乎仍在实际应用中广泛使用。我们以更简洁的方式重新重新重新制定了该方法的核心,该方法基本上基于电力系列的组成技术。通过这种方式,我们得出了一些涵盖原始论文中处理的所有案例,并允许计算一些省略的术语。我们还显示了我们执行的一些简单计算以测试公式。

An analytical method for solving the problem of the satellite around the oblated Earth is discussed. Such a method goes back to Dirk Brouwer (1959) and seems to be still widely used in real applications. We reformulate in a more concise way the core of the method which is essentially based on a technique of compositions of power series. In this way we derive some general formulas which cover, all at once, all the cases treated in the original paper and allow to compute some terms which were omitted there. We also show some simple computation we performed to test the formulas.

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