Pre-correction X-ray pulsar navigation algorithm based on asynchronous overlapping observation method

In order to shorten the data update period and further improve the accuracy, a pre-correction X-ray pulsar navigation algorithm based on asynchronous overlapping observation method is proposed. The asynchronous overlapping observation method partially overlaps the two adjacent observation periods, so that the data update period depends on the minimum pulsar observation period rather than the maximum like the other algorithms. The number of sampling points is also reduced to 2, which will effectively reduce the calculation burden. The proposed pre-correction extended Kalman filter uses observation data of adjacent sampling points to achieve a two-fold correction and makes up for the problem of insufficient observations on some sampling points caused by the observation method. Finally, simulations show that the proposed algorithm reduces the position and velocity errors by 21.55% and 19.13% compared to the EKF based on asynchronous observation method when using three detectors to observe the corresponding pulsars simultaneously. At the same time, the running time of one data update calculation is only 6.6% more than that of the EKF algorithm based on synchronous observation method.