| 点在球面多边形内外的判定方法及应用 |
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| 引用本文： | 黄跃,陈黎,卢宇.点在球面多边形内外的判定方法及应用[J].天文研究与技术,2011(4). |
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| 作者姓名： | 黄跃 陈黎 卢宇 |
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| 作者单位： | 北京师范大学天文学系;中国科学院高能物理研究所; |
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| 基金项目： | 国家自然科学基金(10778716); 973项目(2009CB824800); 北京师范大学自主科研基金资助 |
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| 摘 要： | 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。
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| 关 键 词： | 球面多边形 内外点判断 南大西洋异常区 |
Method for Determining Whether a Point is in a Spherical Polygon and Its Application |
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| Huang Yue,Chen Li,Lu Yu.Method for Determining Whether a Point is in a Spherical Polygon and Its Application[J].Astronomical Research & Technology,2011(4). |
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| Authors: | Huang Yue Chen Li Lu Yu |
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| Institution: | Huang Yue1,Chen Li1,Lu Yu2(1.Department of Astronomy,Beijing Normal University,Beijing 100875,China,2.Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100039,China) |
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| Abstract: | Accurate determination of whether a satellite is in the South Atlantic Anomaly(SAA) region is very important for protecting on-board important instruments,extending the service life of the satellite,and planning observations.This is essentially the so-called point positioning problem,which is in brief how to solve whether a point P is in a spherical polygon R.Traditional methods are to approximate the relevant sphere as a plane and to study the positioning of P relative to R as on the plane.The SAA is a sph... |
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| Keywords: | Spherical polygon Inner/outer point judgement South Atlantic Anomaly(SAA) |
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