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Orbit Determination Using Pulsar Timing Data and Orientation Vector

Published online by Cambridge University Press:  24 October 2018

Hua Zhang ,
Rong Jiao  and
Luping Xu
Hua Zhang*
Affiliation:
(School Aerospace Science and Technology, Xidian University, Xi' an, China710126)
Rong Jiao
Affiliation:
(School of Electronic Engineering, Xi' an Shiyou University, Xi' an, China710165)
Luping Xu
Affiliation:
(School Aerospace Science and Technology, Xidian University, Xi' an, China710126)
*
(E-mail: zhanghua@mail.xidian.edu.cn)
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Abstract

X-ray Pulsar Navigation (XPNAV) uses the Time Difference of Arrival (TDOA) of the pulsar signal between the spacecraft and Solar System Barycentre (SSB) to determine position. In this paper, a novel method to improve the performance of XPNAV via exploiting the pulsar position vector is proposed. First, the field of view of the collimator is utilised to find the pulsar orientation direction. Then, a searching strategy based on the modified Powell method under given coordinate frames is proposed. We also mathematically prove the existence of the extreme value of the searching strategy. Subsequently, an observation model based on the pulsar radiation vector is presented and applied to formulate the observation function together with pulsar time transfer function. Finally, an Adaptive Divided Difference Filter (ADDF) algorithm is introduced to iteratively estimate the position and velocity of the spacecraft. Numerical simulations show that the vector searching method is feasible and the pulsar radiation direction can improve the navigation performance by 75%. The simulation results also show that the ADDF performs better than Unscented Kalman Filtering (UKF) and DDF in position estimation.

Keywords

Pulsar NavigationAdaptive divided difference Kalman filteringInformation Fusion
Type
Research Article
Information
The Journal of Navigation , Volume 72 , Issue 1 , January 2019 , pp. 155 - 175
Copyright
Copyright © The Royal Institute of Navigation 2018 

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