Spring 2003 16.61AC3-3 The code gives the numerical values for all of the stability derivatives. Can solve for the eigenvalues of the matrix A to find the modes of the system 0.0331±0.9470 0.5633 Stable, but there is one very slow pole There are 3 modes, but they are a lot more complicated than the longi tudinal case Slow mode 0.0073 → Spiral Mode Fast real 0.5633 → Roll Damping Oscillatory-0.0331±0.94702→ Dutch roll Can look at normalized eigenvectors Spiral Roll Dutch Roll B0.0067|-0.01970.3269-28 p-0.0009-0.07120.119892 0.0520.0400.0368-12 1.0001.00001.0000° Not as enlightening as the longitudinal case.Spring 2003 16.61 AC 3–3 • The code gives the numerical values for all of the stability derivatives. Can solve for the eigenvalues of the matrix A to find the modes of the system. −0.0331 ± 0.9470i −0.5633 −0.0073 – Stable, but there is one very slow pole. • There are 3 modes, but they are a lot more complicated than the longi￾tudinal case. Slow mode -0.0073 ⇒ Spiral Mode Fast real -0.5633 ⇒ Roll Damping Oscillatory −0.0331 ± 0.9470i ⇒ Dutch Roll Can look at normalized eigenvectors: Spiral Roll Dutch Roll β 0.0067 -0.0197 0.3269 -28◦ pˆ -0.0009 -0.0712 0.1198 92◦ rˆ 0.0052 0.0040 0.0368 -112◦ φ 1.0000 1.0000 1.0000 0◦ Not as enlightening as the longitudinal case. 3