Disappearing line of Star-Like Objects

I opened my bedroom curtains at approximately 06:10 today. It was still dark. I looked up into the night sky and saw a selection of stars which I began to focus on as it was a clear and calm night sky. As I looked up I suddenly got a strange feeling of movement in the sky which captured my attention and as I began to focus I observed one star moving slowly vertically into space. I was unsure whether it was just my imagination but then I saw another star moving along the same path behind the first and then several more. They were all following the same bearing of approximately 060 degrees and when I compared this movement with two brighter adjacent stars I got the sensation that the Earth was rotating towards me. This continued for at least 30 seconds with more star like objects following the same rotating line. Eventually, I could see the end of the line of moving stars until it finally disappeared leaving the original selection of stars first seen.