How Did Kepler Discover the Sun's Position in Planetary Orbits?

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Kepler's discovery that the sun is at one focus of planetary orbits stemmed from his extensive analysis of Tycho Brahe's astronomical observations. He spent decades experimenting with various models to accurately describe the movements of planets. Through a process of trial and error, he ultimately identified elliptical orbits as the correct model. This led him to formulate his three laws of planetary motion. Kepler's work significantly advanced the understanding of celestial mechanics.
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I know that kepler looked at Tacho Bradhe's work and knew the equations related to ellipses

but the question is as simple as:

how did kepler knew the sun was at one of the foci of the ellipse?
 
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Kepler worked for decades studying the observations of Tycho Brahe, trying to come up with a set of rules that would describe the observations. After trying a huge number of things, he was able to distill it down to his three laws. I imagine he arrived at an ellipse with the sun at one focus through simple trial and error.
 

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