Efficient algorithm for precise space-time determination of space debris based on numerical fitting method
Huanqin Wu, Maocai Wang, Guangming Dai, Zhiming Song, Xiaoyu Chen, Lei Peng · 2024
Space debris poses a serious threat to the safety of the spacecraft. Aiming at the expensive and time-consuming problem of long-term accurate perturbation calculation of space debris, several numerical fitting methods are applied to the determination and prediction of space debris orbit. Lagrange polynomial interpolation, cubic spline interpolation, and Chebyshev polynomial fitting methods are used to interpolate and calculate the space debris trajectory function with high accuracy according to the measured amount of space debris. The orbital prediction of space debris is also carried out a period of time. Through a large number of experiments, the fitting effects of three fitting methods under perturbation conditions with different time intervals and different order of harmonic terms are analyzed. The experiments show that the three numerical fitting methods can ensure the fitting accuracy of space debris trajectory and can quickly calculate the position and velocity of space debris at any time.