验证卫星通过地球表面某一区域的解析方法
Analytical Method for Verification of a Satellite Pass over a Region of the Earth Surface
摘要：
本文提出了一种分析方法，用以检验人造地球卫星在轨道运动中是否经过地球表面的某一区域。该方法基于轨道的未扰动开普勒近似和区域的圆段S近似。为了定义环境条件，使用了一个圆锥面，其顶点在地球中心，切割出圆弧段。圆锥面与开普勒平面的切线确定了地球表面上卫星轨迹在S段内出现的时间间隔。这些切线在开普勒轨道平面上的变换以及它们与开普勒椭圆交点的确定是本文方法的基础。
英文摘要：
An analytical method is proposed in this work for verification whether an artificial earth satellite during its orbital motion passes over a region of the earth surface. The method is based on undisturbed Keppler's approximation of the orbit and approximation of the region by a circular segment S. In order to define the situational condition, a conic surface is used with apex in the earth centre, cutting out the circular segment. The tangents of the conical surface with Keppler's plane determine the time intervals in which the satellite trace on the earth surface occurs inside the segment S. The transformation of these tangents in the plane of Keppler's orbit and the determination of their crossing points with Keppler's ellipse lies in the basis of the examined method.
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