| 在轨卫星星等建模与计算 |
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| 引用本文： | 杨莉,吕相银,金伟,赵纪金,杨华. 在轨卫星星等建模与计算[J]. 应用光学, 2014, 35(3): 365-370 |
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| 作者姓名： | 杨莉 吕相银 金伟 赵纪金 杨华 |
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| 作者单位： | 1.电子工程学院 脉冲功率激光技术国家重点实验室,安徽 合肥 230037, |
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| 基金项目： | 电子工程学院科研基金资助项目(KY10042) |
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| 摘 要： | 星等的大小代表了星体对于人眼的可观测程度。卫星星等的理论计算对于观测跟踪卫星光学系统设计等具有重要的指导意义。结合天文学、轨道动力学、辐射度学、光度学和计算数学理论，建立了计算人造卫星星等的物理数学模型。计算了卫星的可见光反射能量随轨道运行的瞬时特征，结合人眼的视觉特性，推导出了轨道卫星星等的计算方法，并进一步针对卫星表面为灰体的情况给出了一种计算卫星星等的方法及星下点卫星星等的周期性计算曲线，结果表明:星下点观测的卫星星等随卫星在轨道上位置的变化非常显著，对同一卫星，不同星下点观测到的星等差异仅在日照区就可达5个等级之多。
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| 关 键 词： | 卫星 星等 轨道 可见光 |
| 收稿时间： | 2013-11-14 |
Model and calculation of orbital satellite apparent magnitude |
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| YANG Li,LvXiang-yin,JIN Wei,ZHAO Ji-jin,YANG Hua. Model and calculation of orbital satellite apparent magnitude[J]. Journal of Applied Optics, 2014, 35(3): 365-370 |
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| Authors: | YANG Li LvXiang-yin JIN Wei ZHAO Ji-jin YANG Hua |
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| Affiliation: | 1.State Key Laboratory of Pulsed Power Laser Technology,Electric Engineering Institute,Hefei 230037,China;2.Key Laboratory of Infrared and Low Temperature Plasma of Anhui Province,Electric Engineering Institute ,Hefei 230037,China |
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| Abstract: | Apparent magnitude represents the observed level of aster to human eyes. The calculation of the satellite apparent magnitude is useful for the design of the optical system to observe and track the satellite.Based on the principle of astronomy,dynamics of orbits, radiometry,photometry and computational mathematics, a physical mathematical model for computing satellite magnitude was built. Firstly, the amount of visible light energy reflected by orbit satellite was calculated. Secondly, the calculation method was given after deducing the association character of human eyes. Then a kind of brevity method to calculate the apparent magnitude for grey-reflection satellite was given. Finally, the calculated curve for apparent magnitude observed from subastral point was obtained. The result shows that the apparent magnitude observed from subastral point varies obviously with the change of the satellite position in orbit.The magnitude difference for one satellite under different subastral points is up to 5 magnitudes only within sunshine region. |
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| Keywords: | satellite apparent magnitude orbit visible light |
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