| Citation: | HUO Yurong, LI Zhi, HAN Leiet al. Computation method of collision probability of space object based on Laplace transformation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(4): 810-819. doi: 10.13700/j.bh.1001-5965.2017.0263(in Chinese)
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The collision probability of space object is an important information for judging whether a collision occurs in the space debris collision warning, and is important for the maneuvering avoidance of the spacecraft. Based on the Laplace transformation and the definition of the power series, the collision probability calculation method and the collision probability expression expressed by the power series in the short-term encounter were discussed. The truncation error in the form of power series was determined and the number of terms of power series was analyzed under different precision requirements. The results of collision probability calculation based on Laplace transformation are compared with those of Chan method and Monte Carlo method for 2009 US-Russian satellite collision event. The validity of Laplace transformation method and the advantage of computing accuracy are verified.
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