Asymptotics beyond all orders for a low Reynolds number flow

The solution for slow incompressible flow past a circular cylinder involves terms in powers of 1/log epsilon, epsilon times powers of 1/log epsilon, etc., where epsilon is the Reynolds number. Previously we showed how to determine the sum of all terms in powers of 1/log epsilon. Now we show how to go beyond all those terms to find the sum of all terms containing epsilon times a power of 1/log epsilon. The first sum gives the drag coefficient and represents a symmetric flow in the Stokes region near the cylinder. The second term reveals the asymmetry of the flow near the body. This problem is studied using a hybrid method which combines numerical computation and asymptotic analysis.