@fast,
It might help to imagine the reality - the embodied experience, if you like - of another type of creature such as a whale or a bat. A bat, for example, navigates by sonar. So it 'sees' with sound, with such a high degree of accuracy that it can intercept a mosquito on the wing. But then it is a very simple intelligence which has no 'concepts' whatever, and one can imagine it has no idea of stars, mountains, or anything else in the way H Sapiens does.
The human reality is based on an array of sensory capabilities which sees light in certain frequencies and understands spatial relationships relative to the size of its body and oriented with regards to its environment. All this information is constantly being synthesized by the brain to create 'reality'. Human reality is different to bat reality or whale reality (or cat, cow, mouse, ape, etc etc.) It is also distinguised by the fact that humans are capable of forming abstract concepts, using language, and cognizing relationships and objects which are not physically or temporally present.
But even given all that, it should be clear that cognition is a bodily and mental phenomenon. Within it there is a realm of experience we designate (rightly) as 'objective' or 'external'. But even though we think of it as such, and it is indeed external or objective to us, the way in which it exists is still intrinsically generated by our sensory and cognitive faculties. So the star is really there - it is not 'an idea in your mind' in the sense of not having an intependent existence - but the precise mode of its existence, its name ('star'), distance, and so on - the reality of 'star' is nevertheless a function of cognition.