Abstract—

The paper presents the results of a study of the dynamic structure of near-Earth orbital space in the 1 : 2 resonance region with Earth’s rotation speed. The results of an extensive numerical-analytical experiment to study the orbital evolution of objects moving in the semimajor axis range from 26 550 to 26 570 km, with inclinations from 0° to 180°. In this region, the zones of action of the five components of the orbital resonance and aspidal–nodal secular resonances of low orders are revealed. The distribution maps of the revealed resonances are constructed. The dynamic structure of the orbital space was also investigated using the fast Lyapunov characteristic of MEGNO and represented by a MEGNO map of the region in the section by the plane (inclination of the orbit, major axis). It is shown that a feature of the dynamic evolution of most of the studied orbits is randomness arising under the influence of overlapping resonances of various types.

中文翻译：

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地球自转速度在1：2共振区近地轨道空间的动态结构

摘要—

本文介绍了在1：2共振区域随着地球旋转速度研究近地轨道空间动力学结构的结果。广泛的数值分析实验的结果，用于研究在半长轴上移动的物体的轨道演化范围为26 550至26 570 km，倾斜度为0°至180°。在该区域中，揭示了低阶轨道共振和Aspidal-Nodal世俗共振的五个组成部分的作用区域。构建所揭示的共振的分布图。还使用MEGNO的快速Lyapunov特性研究了轨道空间的动力学结构，并用平面（轨道的倾斜度，主轴线）对该区域的MEGNO映射表示。