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D Lissajous plots with time being the third dimension. The red circle in all figures indicates the
starting point of the cycle, and the black arrows indicate the direction of rotation.
The orientation of the Lissajous plots for the tip-launcher case in Figure 6-18 is slightly
different from the clean-wing case seen in Figure 6-9, since the tip-launcher plots include two
extra span stations, one on the tip launcher (BL183) and one at 100% span (BL180). However,
the overall trends are similar. Most of the plots are circular in nature. Much of the forward
portion of the wing exhibits a 90° phase shift. However, upon movement inboard toward the
wing root, a more elliptical behavior is seen. Near the transition from counter-clockwise to
clockwise rotation on the right portion of the plot, regions of 180° phase shift emerge. The
figure-eights and other “odd” shapes are also seen for the tip-launcher case, indicating a
continuous phase variation within 1 cycle. These occur most prominently in the tip launcher and
LE antennae locations, and along the TE.
Figure 6-19 A) and D) are individual Lissajous figures taken at 98% span vs. 44% chord
location, which corresponds to the secondary shock region ahead of the primary shock as seen in
Figure 6-15 C). In this region, an odd circular shape forms due to the continuous phase variation
caused by the formation of this secondary shock, which is due to the tip launcher’s presence. The
3-D plot in C) provides more insight as to how the Cp varies with time. Notably, a loop feature is
seen occurring in the last quarter of the cycle. Figure 6-19 B) and E) are individual Lissajous
figures taken at 93% span vs. 67% chord location, which corresponds to shock recovery region
as seen in Figure 6-16 C). The phase relationship for this figure is close to 45° with some
unsteadiness due to the shock transition. The 3-D plot in E) shows a loop feature happening in
the last half of the cycle. Figure 6-19 C) and F) are individual Lissajous figures taken at 88%
span vs. 70% chord location, which also corresponds to shock recovery region as seen in Figure
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