In the end, tests of the lunar module were carried out not suborbitally, and unmanned, but manned and in orbit.
Figure 1: Little Joe III booster with LEM side view
Scale is 0.030, dimensions are in inches.
NASA
Figure 2: Little Joe III booster with LEM end view and scrap views showing different fins.
NASA
Reference: "Static Stability and Control Characteristics of a 0.030-Scale Model of a Little Joe II-LEM Space Vehicle at Mach 1.57 TO 4.63," NASA TM X-1139, Langley Research Center, September 1965
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