月球摄动引起的导航卫星轨道混沌
Chaos in navigation satellite orbits caused by the perturbed motion of the Moon
摘要：
过去十年中进行的数值模拟表明，全球导航卫星系统的轨道是不稳定的，导致偏心率的明显混乱增长。在这里，我们表明，这些轨道的不规则性和偶然性反映了我们太阳系中许多天体轨道的类似不规则性。我们发现，长期的共振，涉及线性组合的频率的节点和拱点岁差和回归率的月球节点，发生在丰富的，使相空间是线程由一个迂回的随机网络。与太阳系的所有情况一样，共振重叠的地方就会出现混乱。这些结果可能对分析这一不稳定空间区域的四个星座的处置策略具有重要意义。
英文摘要：
Numerical simulations carried out over the past decade suggest that the orbits of the Global Navigation Satellite Systems are unstable, resulting in an apparent chaotic growth of the eccentricity. Here we show that the irregular and haphazard character of these orbits reflects a similar irregularity in the orbits of many celestial bodies in our Solar System. We find that secular resonances, involving linear combinations of the frequencies of nodal and apsidal precession and the rate of regression of lunar nodes, occur in profusion so that the phase space is threaded by a devious stochastic web. As in all cases in the Solar System, chaos ensues where resonances overlap. These results may be significant for the analysis of disposal strategies for the four constellations in this precarious region of space.
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