Parameter Estimation of Pulsar Position Based on Least Square

The pulsar position parameters error is one of the main factors affecting the accuracy of X-ray pulsar autonomous navigation and pulsar time keeping. There is a nonlinear relationship between pulsar position parameters and pulsar timing residuals. Based on the above issues, this paper established a mathematical model for parameter estimation of pulsars’ right ascension and declination errors, analyzed the pulsar timing residuals caused by different planetary ephemeris, and studied the influence of the errors of right ascension and declination of pulsars on the timing residuals. On this basis, the pulsar position parameters are estimated by the least square method. And the simulation experiment and analysis are carried out. The results show that, based on the proposed method, using DE430 planetary ephemeris, when the timing residual is 0.1 us, the accuracy of pulsar position estimation accuracy is about 0.03 mas, which shows the effectiveness of the proposed method.