Looked like a aeroplane, but extreme bright with no other lights only white

I was looking up at a single star when I saw what was an aeroplane suddenly appear to the side of the star but it was brilliant white with no other flashing lights, as I watched it to the right of the star it travelled a good distance for about 15 seconds, I was watching the light when it disappeared and I thought it strange as the sky was clear, it suddenly appeared about 2 seconds later back where I first observed it as bright as ever but it could not possibly travel as fast as that to cover the distance it did and as I watched it, it did the same again, I thought what's going on here. My mind was confused, it then disappeared again and 2 seconds later appeared where I first saw it, I ran inside to get my binoculars which took me approximately 6 seconds but there was nothing else to see except the single star . It has blown my mind a little as I've never seen the likes of it and I love looking at the stars but this was strange.