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ASEN 5070: Statistical Orbit Determination I Fall 2013 Professor Brandon A. Jones

ASEN 5070: Statistical Orbit Determination I Fall 2013 Professor Brandon A. Jones Professor George H. Born Lecture 23: Conceptual Filter Comparison and Numeric Considerations. Announcements. Homework 7 Due Friday Lecture Quiz Due by 5pm

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ASEN 5070: Statistical Orbit Determination I Fall 2013 Professor Brandon A. Jones

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  1. ASEN 5070: Statistical Orbit Determination I Fall 2013 Professor Brandon A. Jones Professor George H. Born Lecture 23: Conceptual Filter Comparison and Numeric Considerations

  2. Announcements • Homework 7 Due Friday • Lecture Quiz • Due by 5pm • In the coming weeks, we will start to bounce between topics in Chapters 4 and 5 • Information filter -> Square-root Information filter

  3. Conceptual Question

  4. Filter Conceptual Comparisons

  5. Filter Conceptualization • Linearization • Observation and Uncertainties

  6. Batch Filter Conceptualization • Least Squares (Batch)

  7. Batch Filter Conceptualization • Least Squares (Batch) • Replace reference trajectory with best-estimate • Update a priori state • Generate new computed observations Iterate a few times.

  8. Sequential Filter Conceptualization • Conventional Kalman

  9. Sequential Filter Conceptualization • Conventional Kalman

  10. Sequential Filter Conceptualization • Conventional Kalman

  11. Sequential Filter Conceptualization • Conventional Kalman

  12. Sequential Filter Conceptualization • Conventional Kalman

  13. Sequential Filter Conceptualization • Conventional Kalman

  14. Sequential Filter Conceptualization • Conventional Kalman

  15. Sequential Filter Conceptualization • Conventional Kalman

  16. Sequential Filter Conceptualization • Conventional Kalman

  17. Sequential Filter Conceptualization • Conventional Kalman

  18. Sequential Filter Conceptualization • Conventional Kalman

  19. Sequential Filter Conceptualization • Conventional Kalman

  20. Sequential Filter Conceptualization • Conventional Kalman

  21. Sequential Filter Conceptualization • Conventional Kalman

  22. Sequential Filter Conceptualization • Conventional Kalman

  23. Sequential Filter Conceptualization • Conventional Kalman

  24. Sequential Filter Conceptualization • Conventional Kalman

  25. Sequential Filter Conceptualization • Conventional Kalman

  26. Sequential Filter Conceptualization • Conventional Kalman

  27. Sequential Filter Conceptualization • Conventional Kalman

  28. Sequential Filter Conceptualization • Conventional Kalman

  29. Sequential Filter Conceptualization • Conventional Kalman Evolution of covariance Mapping of final covariance

  30. Sequential Filter Conceptualization • EKF

  31. Sequential Filter Conceptualization • EKF

  32. Sequential Filter Conceptualization • EKF

  33. Sequential Filter Conceptualization • EKF

  34. Sequential Filter Conceptualization • EKF

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  40. Sequential Filter Conceptualization • EKF

  41. Sequential Filter Conceptualization • EKF

  42. Sequential Filter Conceptualization • EKF

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  44. Sequential Filter Conceptualization • EKF

  45. Sequential Filter Conceptualization • EKF

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  50. Sequential Filter Conceptualization • EKF

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