论文标题
对Molniya卫星轨道的双重平均模型进行调查
Investigation on a Doubly-Averaged Model for the Molniya Satellites Orbits
论文作者
论文摘要
这项工作的目的是研究影响Molniya卫星长期动力学的月球扰动。为了检测主导长期演化的术语，进行了双重平均模型上的一些数值实验，包括延伸到三阶。分析的重点是以下重要指标：谐波系数的幅度，所涉及的参数的周期，尤其是幅度和相应频率之间的比率。结果表明，二阶Lunisolar扰动为长期动态提供了主要的贡献。这项工作的第二部分旨在研究与迄今为止使用理想共振模型和替代方法相关的主要术语相关的共振区域。获得的结果表明，标准方法未捕获共振区域动力学结构的主要特征。最后，在Molniya轨道环境的接近度中确定了最大重叠区域。
The aim of this work is to investigate the lunisolar perturbations affecting the long-term dynamics of a Molniya satellite. Some numerical experiments on the doubly-averaged model, including the expansion of the lunisolar disturbing functions up to the third order, are carried out in order to detect the terms dominating the long-term evolution. The analysis focuses on the following significant indicators: the amplitude of the harmonic coefficients, the periods of the arguments involved and, in particular, the ratio between the amplitudes and the corresponding frequency. The results show that the second-order lunisolar perturbation gives the dominant contribution to the long-term dynamics. The second part of this work aims to study the resonant regions associated to the dominant terms identified so far by using both the ideal resonance model and an alternative approach. The results obtained show when the standard method does not catch the main features of the dynamical structure of the resonant regions. Finally, the maximum overlapping region is identified in the proximity of the Molniya orbital environment.
