Abstract:

After analyzing the space objects’ two line elements (TLE) and the simplified general perturbations 4 (SGP4) orbit prediction model, the new TLE sampling fitting method is put forward due to the singularity existence in the iterative approximation procedure. The TLE fitting algorithm deduces the partial derivative matrix of satellite position vector with respect to modified TLE parameter based on the nonsingular transformation and introduces the column pivot element GivensQR decomposition algorithm to improve the efficiency of equation solution. Numerical simulations indicate that the method can enhance the TLE fitting precision and the accuracy of forecasting orbit, especially for the near earth space object.