In recent years, the U.S. Air Force has made extensive use of large scale simulation models to evaluate satellite and booster procurement strategies. This study describes the differences and similarities of the three most common simulation programs employed and establishes a simpler, closed form approximation which may be implemented on a desk-top calculator. The final sections present comparisons between the simulation results and the analytical approximations using specific test cases cited in the documentation of the simulation models described. Finally, an explanation is provided regarding the relationship between the simulation models and the closed form solutions.
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