大规模星座近圆无奇异同步快速轨道预报方法

For dealing with the challenges of strong nonlinearity of perturbed dynamics and numerous satellites when predicting the orbital evolution of a large-scale constellation, a nonsingular multi-satellite synchronous orbit prediction method based on the average rate matrix is proposed. Firstly, the orbital dynamics model under the second-order zonal perturbation is established based on Hamiltonian theory. Secondly, a near-circular nonsingular analytic orbit prediction model is proposed by using nonsingular orbit elements. Afterward, a multi-satellite orbit synchronous prediction algorithm is constructed based on matrix theory, which significantly improves the efficiency of multi-satellite orbit prediction. Taking the Starlink constellation as the simulation example, the results show that the proposed method can increase the calculation speed by an order of magnitude, and the error of 7-day orbit prediction is less than 2. 7 km.