闪电卫星星座的动力学特性：半长轴的长期演变
Dynamical properties of the Molniya satellite constellation: long-term evolution of the semi-major axis
摘要：
我们描述的相空间结构有关的半长轴的Molniya类卫星的天球和日月共振。特别是，在这方面的贡献回答的问题是：（一）我们研究的间接相互作用的临界倾角共振的半地球同步共振使用更现实的动力系统的层次，从而讨论的动力学超越可积近似。通过引入特设听话的模型平均在快速的角度，（ii）我们数值标定的双曲结构组织的长期动态通过快速李雅普诺夫指标制图。基于公开的两行元素空间轨道数据，（三）我们确定两颗卫星，即闪电1-69和闪电1-87，显示指纹与双曲集相关的动态一致。最后，（iv）它们相关的动力学映射的计算强调了航天器被困在双曲缠结中。因此，这项研究报告的证据，实际的人造卫星在近地环境中的动力学是由流形和共振机制。我们提出的工具，形式主义和方法是可输出到其他地区的空间受到类似的可扩展性的地球同步区域。
英文摘要：
We describe the phase space structures related to the semi-major axis of Molniya-like satellites subject to tesseral and lunisolar resonances. In particular, the questions answered in this contribution are: (i) we study the indirect interplay of the critical inclination resonance on the semi-geosynchronous resonance using a hierarchy of more realistic dynamical systems, thus discussing the dynamics beyond the integrable approximation. By introducing ad hoc tractable models averaged over fast angles, (ii) we numerically demarcate the hyperbolic structures organising the long-term dynamics via Fast Lyapunov Indicators cartography. Based on the publicly available two-line elements space orbital data, (iii) we identify two satellites, namely Molniya 1-69 and Molniya 1-87, displaying fingerprints consistent with the dynamics associated to the hyperbolic set. Finally, (iv) the computations of their associated dynamical maps highlight that the spacecraft are trapped within the hyperbolic tangle. This research therefore reports evidence of actual artificial satellites in the near-Earth environment whose dynamics are ruled by manifolds and resonant mechanisms. The tools, formalism and methodologies we present are exportable to other region of space subject to similar commensurabilities as the geosynchronous region.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
