论文标题

布鲁维尔的卫星解决方案redux

Brouwer's satellite solution redux

论文作者

Lara, Martin

论文摘要

Brouwer对人工卫星问题的解决方案进行了重新探讨,以表明,通过单一的规范转换,与冯·齐佩尔(Von Zeipel)的替代方案相比,通过单个规范的转换,完全减少了庞加莱的风格,而不是通过单一的规范转换来实现。

Brouwer's solution to the artificial satellite problem is revisited to show that the complete Hamiltonian reduction is rather achieved in the plain Poincaré's style, through a single canonical transformation, than using a sequence of partial reductions based on von Zeipel's alternative for dealing with perturbed degenerate Hamiltonian systems.

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