Name

Jonathon Smith

Date

April 2012

The OD project will consist of deriving the theory and algorithms and developing a computer program to establish the trajectory of an Earth-orbiting satellite given range and range rate observations from three ground stations.

1. Derive the equations of motion for a satellite moving under the influence of drag and
2. Derive the and matrices for the linearized system
3. Set up the batch algorithm to solve for where is the deviation of X from a reference or nominal solution. Account for a priori values of and P(to).
4. Set up the sequential algorithm to solve for where is the deviation of X from a reference or nominal solution. Account for a priori values of and P(to).

A minimum requirement to obtain a B in the course is to develop a computer program and successfully execute the batch processor algorithm. Additional credit will be given for implementing the sequential algorithm. You should write a final report containing the mathematical development, flowcharts and data processing results of your program.

The state vector being estimated, along with the stm, is given below. 0. X 1. Y 2. Z 3. dX 4. dY 5. dZ 6. mu 7. J_2 8. C_d 9. X_1 10. Y_1 11. Z_1 12. X_2 13. Y_2 14. Z_2 15. X_3 16. Y_3 17. Z_3 18. phi00 19. phi01 20. phi02 21. phi03 22. phi04 23. phi05 24. phi06 25. phi07 26. phi08 27. phi09 28. phi010 29. phi011 30. phi012 31. phi013 32. phi014 33. phi015 34. phi016 35. phi017 36. phi10 37. phi11 38. phi12 39. phi13 40. phi14