X-ray pulsar-based navigation using time-differenced measurement

Abstract In order to reduce the composite impacts of the systematic biases in the X-ray pulsar-based navigation system, an innovative navigation method is proposed. The proposed method employs the time-differenced measurement which is the difference between the measurements at the neighbor epochs. For Earth-orbiting satellite, the systematic biases vary slowly over the navigation period, and the time-differenced measurement can greatly reduce the major part of systematic biases. Through observability analysis, the corresponding navigation system is demonstrated to be completely observable. In order to solve the correlation between the process and measurement noises in the proposed method, a modified unscented Kalman filter is derived. In addition, the modified unscented Kalman filter propagates the selected sigma points to generate the time-differenced measurement model without involving linearization error. The results of simulations have shown that the proposed method can effectively reduce the composite impacts of systematic biases including the pulsar angular position error, pulsar distance error, Earth ephemeris error, and satellite-borne clock error.

[1]  Zhuang Zhao-wen.  The Kalman Algorithm Used for Satellite Clock Offset Prediction and Its Performance Analysis , 2008 .

[2]  Li Li,et al.  X-ray pulsar-based navigation system with the errors in the planetary ephemerides for Earth-orbiting satellite☆ , 2013 .

[3]  Jie Ma,et al.  X-ray pulsar navigation method for spacecraft with pulsar direction error , 2010 .

[4]  Tian,et al.  CNS/Pulsar Integrated Navigation Using Two-level Filter , 2010 .

[5]  L. D. Liu,et al.  Robust Kalman filtering for discrete-time nonlinear systems with parameter uncertainties , 2012 .

[6]  Liu Liangdong,et al.  The use of X-ray pulsars for aiding navigation of satellites in constellations , 2009 .

[7]  R. Battin.  An introduction to the mathematics and methods of astrodynamics , 1987 .

[8]  Wu Jie,et al.  High-Precision Navigation Approach of High-Orbit Spacecraft Based on Retransmission Communication Satellites , 2012 .

[9]  Jie Ma,et al.  Pulsar navigation for interplanetary missions using CV model and ASUKF , 2012 .

[10]  S. Butman,et al.  Navigation Using X-Ray Pulsars , 1981 .

[11]  Li Ming.  Navigation Principles Using X-ray Pulsars , 2007 .

[12]  Zheng-hong Tang,et al.  Polynomial regression calculation of the Earth's position based on millisecond pulsar timing , 2012 .

[13]  S. Sheikh.  The Use Of Variable Celestial X-ray Sources For Spacecraft Navigation , 2005 .

[14]  J. Paredes,et al.  Feasibility study for a spacecraft navigation system relying on pulsar timing information , 2004 .

[15]  D. Pines,et al.  SPACECRAFT NAVIGATION USING X-RAY PULSARS , 2006 .

[16]  Tian Feng.  Error Estimation of Pulsar Timing Based Spacecraft Autonomous Positioning , 2011 .