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Chebyshev不等式在空間碎片碰撞概率置信度中的應(yīng)用

發(fā)布時間:2018-08-07 18:36
【摘要】:空間碎片的碰撞預(yù)警與規(guī)避能有效避免碰撞事件的發(fā)生.碰撞概率是碰撞預(yù)警的主要判據(jù),也是航天器規(guī)避機(jī)動決策的主要依據(jù).由于計算碰撞概率的各相關(guān)參數(shù)帶有誤差,導(dǎo)致計算得到的碰撞概率值并不準(zhǔn)確,難以做出規(guī)避機(jī)動決策,因此評估碰撞概率值的可信程度是亟需解決的問題.本文給出了一種碰撞概率置信度的計算方法,利用各影響參數(shù)的標(biāo)準(zhǔn)差,通過誤差傳遞的方法計算碰撞概率的標(biāo)準(zhǔn)差,結(jié)合單邊Chebyshev不等式,給出碰撞概率值大于10~(-4)閾值時的置信度,并結(jié)合實際案例進(jìn)行了分析.
[Abstract]:Collision warning and avoidance of space debris can effectively avoid collision events. Collision probability is the main criterion of collision early warning and the main basis of spacecraft maneuver decision. Due to the errors in the relative parameters of calculating the collision probability, the calculated collision probability values are not accurate, so it is difficult to make the decision to avoid maneuvering. Therefore, it is urgent to solve the problem of evaluating the reliability of the collision probability values. In this paper, a method of calculating the confidence of collision probability is presented. The standard deviation of collision probability is calculated by the error transfer method using the standard deviation of each influence parameter, and the one-sided Chebyshev inequality is combined. The confidence degree when the probability value of collision is greater than 10 ~ (-4) threshold is given, and the actual case is analyzed.
【作者單位】: 中國科學(xué)院國家天文臺;中國科學(xué)院大學(xué);
【分類號】:V528

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1 陳雪艷,李平,袁藝,石向星;基于改進(jìn)的Chebyshev神經(jīng)網(wǎng)絡(luò)的用水量預(yù)測[J];石油化工高等學(xué)校學(xué)報;2005年01期

2 高太元;李明軍;高智;;CMP潤滑方程的Chebyshev加速超松弛法求解[J];自然科學(xué)進(jìn)展;2007年12期

3 劉祖潤,曾U喺,

本文編號:2170975


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