Figure 31. LLVl Simulation Results with Best-Fit Shaping Constants ............................. 71
Figure 32. £-Ratios for Ranges from 1 to 25 Miles .............................................................. 86
Figure 33. Percentage of Impacts Between Flight Line and Any Radial .......................... 87
Figure 34. Percentage of Impacts in 5-Degree Sectors ........................................................ 88
Figure 35. Exponential Weights for Fading-Memory Filters ............................................. 93
Figure 36. Recursive Filter Factor for Last Data Point........................................................ 94
Figure 37, Atlas Launch Summary..................................................................................... 102
Figure 38. Delta Launch Summary." ................................................................................... 135
Figure 39. Titan Launch Summary..................................................................................... 148
Figure 40. Thor Launch Summary ..................................................................................... 164




                                                 Table of Tables
Table 1. Effects of Mode-5 Shaping Constant A on Atlas IIA Risks .................................. 10
Table 2. Predicted Failure Probabilities for Representative Configurations .................... 17
Table 3. Predicted Failure Probabilities for All Configurations ........................................ 18
Table 4. Comparison of Weighting Percentages ................................................................. 19
Table 5. Filter Factor Influence on Weighting Percentages ................................................ 21
Table 6. Failure Probabilities for Atlas, Delta, and Titan ................................................... 24
Table 7. Number of Atlas Failures - All Configurations (532 Flights) .............................. 25
Table 8. Number of Delta Failures-All Configurations (232 Flights).............................. 25
Table 9. Number of Titan Failures - All Configurations (337 Flights) .............................. 25
Table 10. Number of Eastern-Range Thor Failures (85 Flights) ........................................ 25
Table 11. Number of Failures for All Vehicles (1186 Flights)............................................ 26
Table 12. Date of Most Recent Failure ................................................................................. 26
Table 13. Percentage Weighting for Sample of 1186 Launches ......................................... 27
Table 14. Response-Mode Occurrence Percentages ............................................................ 27
Table 15. Recommended Response-Mode Percentages for Flight Phases O- 2................ 28
Table 16. Recommended Response-Mode Percentages for Flight Phases O- 1................ 29
Table 17. Absolute Failure Probabilities for Response Modes 1 - 5 .................................. 29
Table 18. Percent of Response Modes 3 and 4 That Tumble .............................................. 30


9/10/96                                                     V