Solution of the h-equation for a single point source excitation of magnitude K

An analytic solution to the equation 4A4h/sub xx/ + h/sub yy/ = K delta(x-x*)delta(y-y*) is determined using standard methods for partial differential equations. Nonhomogeneous boundary conditions complicate the solution considerably. The actual boundary conditions employed include a linear temperature distribution along the centrifuge wall, constant end cap temperatures, and an upper atmosphere that is insulated. This solution can be used in conjunction with existing solutions to the Pancake equation to calculate primitive variables. 14 references, 3 figures