Javier,
You're comparing apples with oranges
While you're first travelling away from the sun, Celestia is showing you the optical diameter of the Sun: its physical diameter is being projected onto your viewscreen.
If you have "Scaled discs" enabled, then you have asked Celestia to draw circles with sizes that are proportional to how bright an object is, not how big it is. When you have travelled beyond a certain distance, where the Sun's optical diameter is smaller than a certain amount, Celestia changes from showing you an image proportional the physical size to showing you a circle with a diameter proportional to its luminosity (or proportional to its albedo if it's an object that doesn't glow).
Celestia's builtin calculation for the maximum diameter to draw for an object with high visual luminosity happens to produce a circle that's very slightly larger than what it draws for the Sun's optical diameter at the transition distance.
That maximum size is strictly arbitrary. Chris could have chosen something larger or something smaller. It'd be nice if one could adjust the scaling factor and limits for the luminosity diameters, but it's hardwired inside Celestia.
Does this clarify things?