Luke, I really liked your clear explanation, but I think you meant to say
the ANALEMMA has two components, the EOT and the declination. The EOT is
not dependent upon the obliquity; we would still have it even if the axis
were perpendicular to the ecliptic. Luckily, both independent components
have a common, cyclical variable, the time of the year, and therefore have
a single solution graph. Like you said, can you imagine the changing
analemma if precession were only 100 years instead of 26,000 or so years!
