To overcome the shortcoming of the original dual-Euler method, i.e., it presumes that the range of pitching angle was limited to and it can-t be used for continuous solution of super-maneuvering flight when the pitching angle was beyond this limited range, improvement was made to solve Eulerian angles for full scale continuously by introducing a discriminant function that can obtain the only one corresponding solution for both positive Eulerian system and negative Eulerian system. To validate the new method, a simple model of super-maneuvering was numerically simulated with the improved Dual-Euler method, and ��R-K�� algorithm with variant time steps was used for time integration. Results showed that the numerical solution was in perferct agreement with the theoretical solution.
��־��, ��ϲ��. �˷�ŷ�����������Եķ����о�[J]. ����ʦ��ѧԺѧ��(��Ȼ��ѧ��), 2000, 13(4):60-62 Xiong Zhibin, Liu Xibin. Research on methods for overcoming the singularity of the Euler equation[J].Journal of Yueyang Normal University(Natural Sciences), 2000, 13(4):60-62(in Chinese)
Фҵ��. ���պ������˶��Ľ�ģ[M]. ����:�������պ����ѧ������, 2003 Xiao Yelun. Model building for the motion of aircraft and spacecraft[M]. Beijing:Beijing University of Aeronautics and Astronatics Press, 2003(in Chinese)