Title:
Analytical Aerodynamic Force Moment Coefficients of Axisymmetric Composite Geometries in Rarefied Flow

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Hart, Kenneth A.
Simonis, Kyle R.
Steinfeldt, Bradley A.
Braun, Robert D.
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Abstract
Recent developments in symbolic mathematics allow for analytic modeling of rarefied hypersonic aerodynamic coefficients of nontrivial geometries. These analytic models enable rapid trajectory propagation and sensitivity analysis for objects in low-Earth orbit. High fidelity modeling can be accomplished by generating an aerodynamic database via Direct Simulation Monte Carlo, however this process is computationally intractable considering the 13,000 pieces of debris in orbit. Analytic modeling provides a rapid alternative to DSMC with little loss of fidelity. In this investigation, the Schaaf & Chambré model is applied to geometries composed of conical frustums and cylindrical hulls, validated against DSMC results, and extended to arbitrary geometries of revolution with errors less than 5% relative to traditional numerical simulation.
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2015-01
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