Abstract

We investigate a procedure for determining the shadow cone of the Earth in the course of the motion of a satellite in the ecliptic plane. The average time spent by the satellite in the Area of the Earth’s shadow is estimated depending on the orbit parameters in the outer sphere of the Earth’s gravitational influence. The obtained estimate of the average time spent by the satellite in the shadow allows us not to take the shadow into account in the qualitative analysis of satellite motion. The results obtained for a conical shape of the shadow are compared with the results obtained for a cylindrical shape, and a choice is made in favor of the conical one.

中文翻译：

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关于估算黄道面移动时人造卫星在地球阴影区域的平均停留时间

摘要

我们研究了在黄道面中卫星运动过程中确定地球阴影锥的过程。估计卫星在地球阴影区域所花费的平均时间取决于地球引力影响外层的轨道参数。卫星在阴影中花费的平均时间的估计值使我们在对卫星运动进行定性分析时不必考虑阴影。将阴影的圆锥形获得的结果与圆柱形状的获得的结果进行比较，并选择了圆锥形。