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研究生: 郭任傑
Kuo, Jen-Chieh
論文名稱: 追星儀之全天動態星場模擬
All-Sky Dynamic Starfield Simulation for the Development of Star Trackers
指導教授: 陳炳志
Chen, Bing-Chih
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2024
畢業學年度: 113
語文別: 中文
論文頁數: 59
中文關鍵詞: 追星儀動態星場模擬器
外文關鍵詞: star tracker, dynamic starfield simulation
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  • 追星儀是一種高精度的感測器,透過辨識視野中恆星位置來確定指向,進一步確定衛星姿態。隨著科技進步,計算性能提升,現代追星儀能夠在內部進行快速星場識別和姿態計算,達到更高的精確度。本研究主要為了因應追星儀的發展,開發全天動態星場模擬系統用以驗證追星儀演算法的效能。目前已有的星空模擬軟體雖然能夠模擬靜態星空影像,但無法滿足追星儀演算法驗證的需求,尤其是模擬動態星場。因此,本研究提出了能整合必要天體數據並考慮衛星空間旋轉的星場模擬系統,這對於追星儀演算法的開發和驗證有其必要性。本研究工作引入了不同座標系統的轉換,包括地球座標系統和天球座標系統,建立星圖模擬的框架。使用歐拉角和四元數描述衛星姿態和變化。除此之外,本研究工作也導入了光學系統的模擬,包含光學系統中鏡頭、感測器規格對視野的影響和如何模擬感測器的電子系統,並且將天體的位置和亮度投影到影像平面上以數值呈現。在天體的模擬上,除了恆星外,也從軌道參數計算了主要行星與太陽、月亮等太陽系天體的亮度和座標。模擬的靜態與動態星場影像與現有的模擬軟體進行了對比,驗證了本文系統在原本星像軟體的可靠性之上,還加入驗證追星儀演算法的功能。本研究開發的星場模擬系統能夠模擬衛星在不同姿態下拍攝到的星空影像,對於驗證追星儀的演算法性能具有重要價值。此系統彌補了現有星空模擬軟體在衛星動態模擬方面的不足。

    In this study, we try to develop an all-sky dynamic starfield simulation system to verify the performance of the star tracker algorithms in response to the development of the star tracker.
    This paper concludes the methods and describes the specific process of simulating the images captured by a star tracker, from inputting parameters of optics, sensors, and observing modes to the final image generation.
    The results of static starfield simulations are shown and compared with the existing simulation software Stellarium to verify the accuracy of the system in this paper. The results of dynamic starfield simulations are also included, which are based on the simulation of the rotation of the satellite in its orbit.

    摘要 iii All-Sky Dynamic Starfield Simulation for the Development of Star Trackers iv 目錄 viii 表目錄 xii 圖目錄 1 第1章、 緒論 3 1.1 研究動機 3 1.1.1 衛星姿態感測與控制 3 1.1.2 追星儀 3 1.1.3 現有星空模擬軟體之不足 3 1.2 論文組織架構 4 1.2.1 模擬天體的選擇 4 1.2.2 座標系之轉換 4 1.2.3 追星儀靜態圖像 4 1.2.4 衛星動態運動之成像 4 第2章、 模擬天體的選擇 5 2.1 模擬的條件 5 2.2 恆星 5 2.3 行星與月球 5 2.3.1 行星與月球位置 5 2.3.2 行星星等 7 2.4 月球與太陽 11 2.4.1 月球與太陽星等 11 2.4.2 月球與太陽大小 11 2.4.3 月相與缺角 11 第3章、 座標系之轉換 12 3.1 座標系定義 12 3.1.1 地心天球參考系統 12 3.1.2 國際天球參考系統 13 3.1.3 LVLH座標系統 14 3.1.4 攝影機座標系 14 3.2 座標系統轉換 15 3.2.1 ICRS至GCRS 15 3.2.2 GCRS至LVLH 15 3.2.3 LVLH到攝影機座標系 15 3.3 衛星的位置與速度 16 第4章、 追星儀靜態圖像 17 4.1 光學系統 17 4.2 電子系統 18 4.2.1 暗電流雜訊 18 4.2.2 點擴散函數 18 4.3 亮度動態範圍 19 4.3.1 照度轉為數值 19 4.3.2 雜訊、訊噪比對星點判讀之影響 20 4.4 非點光源的成像大小 21 4.5 攝影機座標系與影像平面 21 4.6 靜態模擬圖像 22 4.6.1 指定攝影機方向 24 4.6.2 包含月球與行星的模擬 25 第5章、 衛星動態運動之成像 27 5.1 旋轉的數學表示 27 5.1.1 歐拉角 27 5.1.2 四元數 29 5.1.3 四元數插值 31 5.2 動態模擬影像 32 5.2.1 單軸旋轉 34 5.2.2 兩個轉軸以上之旋轉 36 第6章、 結論 37 參考文獻 38 附錄A JPL DE430之運動方程 41 A.1 質點與質點交互影響 41 A.2 形狀天體受質點影響 41 A.3 月球受地球潮汐影響 43 A.4 月球的旋轉 44 附錄B 模擬參數明細 46 B.1 與光學系統相關 46 B.2 與感測器相關 46 B.3 與衛星相關 46 B.4 與觀測相關 46 B.5 選項 46

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