Moving star stopped and then another star appeared right next to it and they started moving.

I was a kid back then and I don't remember what year it was, but it should be between 1990 and 1995.
I was watching a night sky from the balcony on the 5th floor. I'd guess the time should have been between 19:00 and 22:00 when I noticed a "falling star" as I was watching a dark starry sky.
The location of the building and my approximate position is here:
 https://www.google.com/maps/place/47%C2%B002'57.5%22N+28%C2%B051'35.5%22E/@47.0493128,28.8587608,388m/data=!3m2!1e3!4b1!4m5!3m4!1s0x0:0x0!8m2!3d47.049311!4d28.859857  
Using that Google map image as a point of reference, I was looking in the top left direction with roughly this spot in the center of my view:
 https://www.google.com/maps/place/47%C2%B002'59.8%22N+28%C2%B051'33.7%22E/@47.0499478,28.8582568,388m/data=!3m2!1e3!4b1!4m5!3m4!1s0x0:0x0!8m2!3d47.049946!4d28.859353  
The “star” slowly moved from top-right corner of the visible portion of the sky to the center.  At first, there were nothing that seemed too unusual – I've seen “falling stars” before and was told those are satellites and this one didn't look too different.  Until it started weirdly changing its trajectory, which no longer looked like a straight like, although it was a slight change anyway. It then stopped around the center of visible portion of the sky for a few seconds or maybe a 1-1.5 minute.  Then another star appeared right next to that one.  It didn't fully appear immediately – it was slowly increasing its brightness.  It is also interesting that while gaining brightness it become too bright compared to the first star and then decreased its brightness, ending up looking just like it.  It was like when you start the car engine it initially operates at a higher rpm and then calms down and uses it's idle-mode rpm.
Overall it took ~ 0.6 seconds to appear, with 0.1 of that time spent to decrease brightness.  After that they didn't move for some time (I'd guess 2-3 minutes) and then started moving roughly in the same direction where the first star came from.  I don't remember how exactly did they disappear, maybe they've moved out of my sight or a building blocked my view.  
I'm going to send an email with a gif animation of those movements.
Witness indicates that the date of the sighting is approximate.  PD