Nonlinear Estimation Theory Applied to Orbit Determination
TEXAS UNIV AT AUSTIN APPLIED MECHANICS RESEARCH LAB
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The study is concerned with the development of an approximate nonlinear filter using the Martingale theory and appropriate smoothing properties. Both the first order and the second order moments are estimated. The filter, which is developed, can be classified as a modified Gaussian second order filter. Its performance is evaluated in a simulated study of the problem of estimating the state of an interplanetary space vehicle during both a simulated Jupiter fly-by and a simulated Jupiter orbiter mission. In addition to the modified Gaussian second order filter, the modified truncated second order filter is evaluated also in the simulated study. Results obtained with each of these filters are compared with numerical results obtained with the extended Kalman filter and the performance of each filter is determined by comparison with the actual estimation errors.
- Spacecraft Trajectories and Reentry