Single Pulsar Lateral Segmental Bidirectional Ranging

For non-linear orbits, positional errors in the lateral direction of a pulsar can cause positional errors along the line of sight of the pulsar, resulting in distortion of the X-ray pulsar profile. Experimental results indicate that, over a complete observation period, the positional errors accumulated in the first half of the observation time due to initial positional errors are much smaller than those accumulated in the second half. To address this phenomenon, this paper proposes using the distortion of the pulsar profile to invert the lateral position or velocity information of the pulsar. It provides sensitive directions for two time intervals and proposes a lateral segmented two-way ranging method. This method divides the observation time into two segments, calculates the corresponding sensitive directions separately, and introduces dictionary folding to accelerate the calculation speed of the two-dimensional grid search. Experimental results show that this method provides high-precision positional information in both directions.