On-board DA-based state estimation algorithm for spacecraft relative navigation

This paper analyzes the real-time relative pose estimation and attitude prediction of a tumbling target spacecraft through a high-order numerical extended Kalman filter based on differential algebra. In partic-ular, linear and nonlinear algorithms are developed and implemented on a BeagleBone Black platform, as representative of the limited computational capability available on onboard processors. The performance are assessed varying measurement acquisition frequency and processor clock frequency, and considering various levels of uncertainties. Moreover, a comparison among the different orders of the filter is carried out.

[1]  J. Junkins,et al.  Analytical Mechanics of Space Systems , 2003 .

[2]  Michèle Lavagna,et al.  Nonlinear filtering methods for spacecraft navigation based on differential algebra , 2014 .

[3]  L. Isserlis.  ON A FORMULA FOR THE PRODUCT-MOMENT COEFFICIENT OF ANY ORDER OF A NORMAL FREQUENCY DISTRIBUTION IN ANY NUMBER OF VARIABLES , 1918 .

[4]  H.F. Durrant-Whyte,et al.  A new approach for filtering nonlinear systems , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[5]  Oliver Montenbruck,et al.  Satellite Orbits: Models, Methods and Applications , 2000 .

[6]  S. R. Marandi,et al.  A preferred coordinate system and the associated orientation representation in attitude dynamics , 1987 .

[7]  R. Park,et al.  Nonlinear Mapping of Gaussian Statistics: Theory and Applications to Spacecraft Trajectory Design , 2006 .

[8]  P. W. Hawkes,et al.  Modern map methods in particle beam physics , 1999 .

[9]  Martin Berz,et al.  The method of power series tracking for the mathematical description of beam dynamics , 1987 .

[10]  Jeffrey K. Uhlmann,et al.  Unscented filtering and nonlinear estimation , 2004, Proceedings of the IEEE.

[11]  Daniel J. Scheeres,et al.  Nonlinear Semi-Analytic Methods for Trajectory Estimation , 2007 .

[12]  Robert Bell,et al.  Autonomous rendezvous and docking technologies: status and prospects , 2003, SPIE Defense + Commercial Sensing.

[13]  A. Morselli,et al.  Differential algebra space toolbox for nonlinear uncertainty propagation in space dynamics , 2016 .