Orbit estimation of the interferometric cartwheel using an extended linearized Kalman filter

Author(s):  
H. Nies ◽  
O. Loffeld ◽  
U. Gebhardt ◽  
V. Peters
2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Shu Ting Goh ◽  
Ossama Abdelkhalik ◽  
Seyed A. (Reza) Zekavat

The differential geometric filter is implemented to estimate the absolute and relative positions of the spacecraft in a formation. The extended Kalman Filter is also implemented as a benchmark for the differential geometric estimation. Only relative positions between the spacecraft are measured. Relative positions are measured using a wireless local positioning system (WLPS) installed in all spacecraft. Two different scenarios are studied: (1) the observations include WLPS measurements only and (2) the observations include WLPS measurements in addition to measurements for the absolute position of one spacecraft made by a radar that takes measurements from the earth’s surface. Results show that the differential geometric estimation has better stability performance and a faster convergence rate compared to the extended Kalman filter.


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