APPROXIMATE SERIES SOLUTIONS OF THE THREE-SPECIES ATMOSPHERIC DEIONIZATION DIFFERENTIAL EQUATIONS
GENERAL ELECTRIC CO SANTA BARBARA CA TEMPO
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In the course of investigating the effects of a nuclear explosion on electromagnetic wave propagation, it is often convenient to consider the ionized constituents of the atmosphere to be represented by a single species of positive ions, a single negative ion species, and electrons. The number densities of these charged particles at a specific time after detonation are then obtained from the solution of a system of three differential equations which describe the time rate of change of each particle density. An exact analytic solution has not been found for these equations, and hence either approximate analytic forms or numerical integration methods are employed. The latter offers high accuracy but is often too time-consuming for general application. In this report a new set of approximate analytic solutions are derived which provide accuracies approaching that of numerical integration for many cases, but which retain the advantage of rapid computation.
- Atmospheric Physics
- Inorganic Chemistry
- Numerical Mathematics
- Nuclear Explosions and Devices (Non-Military)