Was Kepler aware that Venus and Mars have a golden section relationship other than that he attributed to them in his 5 perfect solids model of the Solar System? The dodecahedron and the icosahedron, which Kepler placed between the Earth and Mars and Venus, both have the golden section in their structure.
The value for Venus's semi-major axis (in AU) to the power of 21 multiplied by that of Mars to the power of 55 equals $\varphi$ (the golden section) to the power of 34! These are Fibonacci numbers and any such sequence means that using powers above or below in the Fibonacci sequence (or the Lucas sequence) will give an approximate same answer.
From NASA: Venus's semi-major axis (0.72332102 AU) to the power of 21 times Mars's semi-major axis (1.52371243 AU) to the power of 55 equals $\varphi$ to the power of 34. The discrepency is 1.000088909, but it would be the 76th root of this, 1.00000117, to correct the equation. Venus's semi-major axis to the power of 13 times Mars's semi-major axis to the power of 34 equals $\varphi$ to the power of 21, which is is 1.002919389. The 47th root is 1.000062026. Venus's semi-major axis to the power of 18 times Mars's semi-major axis to the power of 47 is $\varphi$ to the power of 29, which is 1.008694078. The 65th root is 1.000133186.
What understanding of these relationships and calculations did Kepler demonstrate in his published works?