Do you understand that the accuracy of predictions does not mean that the model is correct?Here is a little experiment. Download Stellarium. It is heliocentric software and it is 100% free. Punch in your coordinates and pick 10 random observations. Then take binoculars or a small telescope and verify for yourself. I have used the software many many times. It has helped me find planets, star clusters, and nebulas. There is no doubt in my mind, after being out many nights, the model portrayed in that software is the correct one. It is always on point and on time. I am open to almost anything but we DO live on a planet that circles around a burning ball of plasma and we do have planetary neighbors that you can see for yourself. Mars could never come between us and the sun, it is impossible. Put a solar filter on your scope and prove otherwise if this is something you believe in =)
But is astrophysics on point at all times? I think not. They say gravity is king and disregard any notions of electrical forces being at work in the cosmos. This is ignorant imo.
The point I'm trying to make that I hope you take with you is that a model can be precise and accurate without being correct.