By Magnus Rudolph Hestenes
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Extra resources for Calculus of variations and optimal control theory
Working on this second objective, he had just crossed the shoreline of a small bay heading out to sea, when the entire tail section of his A-7E came off. As the aircraft rolled about 90 degs. out of control, he pulled the ejection handle and eventually hit the water yards from a small fishing boat carrying an old man and a very young, frightened boy. They insisted he get in the boat. He did. Some time later he was returned to friendly territory. In addition to the two aircraft killed, one A-7E was severely damaged by an explosion near the tail of the aircraft, shredding the rudder and parts of the horizontal stabilizer surfaces and damaging the engine.
2 Tour of duty'. The relationship between the loss rate and the probability of surviving N missions given by Eq. 8b) can be used to determine the number of missions that represent an acceptable tour of duty for a military aviator. 90 as the acceptable probability for surviving a tour of duty or CS. The number of missions that result in that particular value of CS can be determined by rearranging Eq. 8b) to solve for N. 5c. 6 missions according to Eq. 8e). 5 also can be used to determine the tour of duty.
This guidance is easier to write than to follow (Note 8). The life span of an aircraft from program inception to removal from service can exceed 50 years. Consequently, an aircraft that begins life in 2002, when the threats are primarily guns and missiles, can still be in operation, in one form or another, in 2052, when the threats could include the DE weapons, CB agents, and nuclear threats, in addition to significantly improved guns and missiles (Note 9). 10 AIRCRAFT COMBAT SURVIVABILITY ANALYSIS AND DESIGN Combining the difficulty in predicting the future threats with the uncertain future political environment and the additional roles and missions the aircraft might be called upon to perform leads one to the conclusion that the design threats should not be just the threats of the day, but must include the threats of the future.