Point detection and tracking

I have a USB camera connected to my computer. The camera only detects white and black and will show the picture of a circle with 2 points. One of them is concentric and fixed and it comes from a laser. The other is not concentric, it moves, and it is the reflection of the first one.

The idea is to obtain the coordinates of each point, and store them in a vector, for example, so I can later see the distance between them, send an information to my motor and the position of the 2nd point will change. This iteration will happen till the 2 points are concentric, which is the final objective.

I took 2 pictures. One of them shows only the first point, and the second one shows both. HOWEVER. in the real case, there won't be that "stain" evolving the first point. The 2 points will have the same size. This is only happening because the mirror for the reflection isn't ideal, but after it only show the point.

Only one point: http://imgur.com/a/tZqYB

2 points: http://imgur.com/a/asnAP

Since I have just began working with image processing, I would really appreciate some help on how to develop a program.

Thank you