Parameter space of orbital flips resulting from the N-body, DA and CDA integrations. Initial orbital parameters: m_per/m = 1, ω = 0, e_per = 0.2, a_per/a = 10, e = 0.2. The initial values of inclination and Ω are scanned. For the N-body integrations, the true anomaly of both outer orbit and inner orbit are initially set to 0. Integrations in which flips occur (i.e. j_z crossed zero) are shown as red points while those without are shown in blue. As can be seen, the DA calculations have significantly different results from N-body while CDA corrects most of the errors in DA.