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基于多邊形距離的衛星對地時(shí)間窗口快速計算方法
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中國電子科技集團公司電子科學(xué)研究院

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A Fast Calculation Method for Satellite Earth Time Window Based on Polygonal Distance
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    摘要:

    隨著(zhù)近地軌道上的衛星數量急劇上升、衛星之間通過(guò)組網(wǎng)以星座的方式協(xié)同工作,增加了對地監測的能力。“星鏈”是近年來(lái)低軌巨型星座的典范,“星鏈”星座衛星軌道高度低,周期短,重訪(fǎng)率高;衛星攜帶傳感器后對地球表面形成探測區域,星座不同衛星能夠同時(shí)對重點(diǎn)區域實(shí)現多重覆蓋,可對全球主要地區完成24小時(shí)不間斷偵察監視。將建模計算得到的覆蓋區域和目標區域在二維平面表示為多邊形(星下點(diǎn)表示為平面內一點(diǎn)),可以把衛星對目標區域覆蓋時(shí)間窗口計算問(wèn)題轉化為圖形之間的幾何關(guān)系判斷問(wèn)題。同時(shí),針對固定步長(cháng)耗時(shí)較長(cháng)的問(wèn)題,根據多邊形之間的距離設計了求解時(shí)間窗口的快速計算方法。依據平面內多邊形預測距離的變化率動(dòng)態(tài)設置步長(cháng),一天內參與覆蓋邊界計算、與目標區域相交判斷的采樣點(diǎn)數目由86500個(gè)減少為457個(gè),相比于固定步長(cháng)方法效率提升約99.5%。

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    With the rapid increase of the number of satellites in low Earth orbit and the cooperation of satellites in constellation through networking, the ability of ground monitoring has increased. The "Starlink" is a model of low orbit giant constellations in recent years. The satellite orbit of the "Starlink" constellation is low, with short periods and high revisit rates; After carrying sensors, satellites form a detection area on the Earth"s surface, and different constellations of satellites can simultaneously achieve multiple coverage of key areas, completing 24-hour uninterrupted reconnaissance and monitoring of major regions around the world. This article represents the coverage area and target area obtained through modeling and calculation as polygons in a two-dimensional plane (the point below the star is represented as a point in the plane), which can transform the problem of calculating the time window for satellite coverage of the target area into a problem of determining the geometric relationship between the shapes. At the same time, a fast calculation method for solving the time window was designed based on the distance between polygons to address the problem of long time consuming fixed step sizes. By dynamically setting the step size based on the change rate of the predicted distance of polygons in the plane, the number of sampling points involved in coverage boundary calculation and intersection judgment with the target area within a day has been reduced from 86500 to 457, which improves the efficiency by about 99.5% compared to the fixed step size method.

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石習,馮占林,趙會(huì )朋,秦曉珊.基于多邊形距離的衛星對地時(shí)間窗口快速計算方法計算機測量與控制[J].,2023,31(9):290-296.

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  • 收稿日期:2023-05-31
  • 最后修改日期:2023-06-06
  • 錄用日期:2023-06-06
  • 在線(xiàn)發(fā)布日期: 2023-09-18
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