Path: Airships/Modeling
% Compute the geometric integrals for a double-ellipsoid airship hull.
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Form:
[I1, I3, J1, J2] = AirshipIntegrals( a1, a2, b, hullFraction, xo );
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Inputs
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a1 (1) Semi-major axis of front ellipsoid [m]
a2 (1) Semi-major axis of rear ellipsoid [m]
b (1) Semi-minor axis of each ellipsoid [m]
hullFraction (1) Fraction of total length regarded as hull
(point from nose at which fins begin)
xo (1) x-Location of body-frame origin [m]
(measured back from nose)
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Outputs
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I1 (1) Integral of (dA/dx) from nose to hull length / (vol)^(2/3)
I3 (1) Integral of x*(dA/dx) from nose to hull length / L*(vol)^(2/3)
J1 (1) Integral of 2*r from nose to hull length / (vol)^(2/3)
J2 (1) Integral of 2*r*x from nose to hull length / L*(vol)^(2/3)
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Reference: Jones, DeLaurier, "Aerodynamic Estimation Techniques for
Aerostats and Airships", AIAA Lighter-than-Air Systems
Conference, Anapolis MD, 1981, Paper No. 81-1339.
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Copyright (c) 2003 Princeton Satellite Systems, Inc.
All rights reserved.
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