Barrowman Equations for Computing the Rocket Center of Pressure

(page excerpted from http://my.execpc.com/~culp/rockets/Barrowman.html, c/o Randy Culp )

In March, 1967, James S. Barrowman of the NASA's Sounding Rocket Branch submitted a document entitled 'The Practical Calculation of the Aerodynamic Characteristics of Slender Finned Vehicles' as his Master's thesis to the School of Engineering and Architecture of the Catholic University of America. The document included, among other things, the simple algebraic method for calculating the center of pressure of a rocket flying subsonically at small angles of attack. Barrowman Diagram


Parameter Definitions

LN = length of nose
d = diameter at base of nose
dF = diameter at front of transition
dR = diameter at rear of transition
LT = length of transition
XP = distance from tip of nose to front of transition
CR = fin root chord
CT = fin tip chord
S = fin semispan
LF = length of fin mid-chord line
R = radius of body at aft end
XR = distance between fin root leading edge and fin tip leading edge parallel to body
XB = distance from nose tip to fin root chord leading edge
N = number of fins


Nose Cone Terms

Conical Transition Terms

Fin Terms

Finding the Center of Pressure


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