The debris cloud formed from the fragmentation of space objects evolves under orbital dynamics,pose a continuous threat to the safe of spacecraft.Traditionally,the debris cloud is regarded as a collection of independent fragments,and these fragments are propagated to obtain the overall evolution characteristics.This method requires a large number of samples and is therefore inefficient.In view of the uncertainty of the debris distribution,the density of the debris cloud can be directly calculated based on the boundary value problem and the probability density transformation.The high-order Lambert solution is constructed based on differential algebra,and the high-order Jacobian of the system is computed,which is used in the transformation of fragment distribution probability.The numerical examples show that the high-order methods can increase the calculation efficiency by 10 times,and the relative error of the results is within 1％.
关键词
空间碎片/轨道边值问题/概率分布演化/微分代数
Key words
space debris/boundary value problem/probability distribution evolution/differential algebra
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