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精确判断卫星进出南大西洋辐射异常区(SAA)对于保护卫星上重要仪器、延长卫星寿命和制定观测计划至关重要,这就是所谓点定位问题,简单说来就是判定球面上一点P是否位于指定的球面区域R内的问题。传统的研究方法是把球面简化为平面,研究点与平面多边形的关系。但SAA区域为球面上的区域,用平面简化得出的点定位误差较大。提出判断点在球面区域内外的算法,处理了可能出现的奇异情况,实现了点在球面区域内的准确定位。
Accurately judging whether a satellite enters or exits the South Atlantic Radiation Anomalous Area (SAA) is crucial for protecting important satellite equipment, extending satellite lifetimes, and developing observation plans. This is called point location problem. In short, it is to determine whether a point P on a sphere is located at a specified Problems in the spherical area R. The traditional research method is to simplify the sphere into a plane, the relationship between the research point and plane polygons. However, the area of SAA is the area on the spherical surface, and the point positioning error obtained by plane simplification is larger. The algorithm of judging the points inside and outside the spherical area is put forward to deal with the possible singularity and realize the accurate positioning of points in the spherical area.