Fibonacci is to Sun
Spiral is to ???????
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Well, it is a sort of
Numbers of Fibonacci can be joined (on a number line representation in two dimensions, for example forming squares etc.) to form a Spiral.
In a similar fashion,
Several suns (which are basically stars) can form Asterism (which is a subset of usually known constellation) which consists of specific geometric shapes.
Well, based on latest edit/hint, I guess it is
It has 7 letters and it is the path that sun takes around vega. The analogy taken is the path traversed by / loci of Fibonacci numbers and the sun