Noticed a very large bright circular light above my home hovering ..

I had stepped outside my house to have a cigarette at approx. 9:30pm on 10/28/22 .. A light caught my eye that was position above my house but more toward the SE part of the sky .. I watched it for a few minutes and decided to grab my phone to take a video. It was a very large circular sphere . At first I thought it was a star but it was far too big to be a star .. it also was not the moon nor a plane. It was emitting a bluish green light and a bright white light that seemed to pulsate . There was a tree blocking my view so I positioned myself in the driveway to get it on video the best I could . It did not move in any direction while I was watching it , it only pulsated ...almost like a heart beating is the only way I can describe it. I am ex Navy and am familiar with what different aircraft looks like from multiple distances .. This was probably 30,000-40,000 ft up and looked to be extremely large .. Bigger than a football field . I went inside to get my roommate and by the time we got back out (within 1 minute) it was gone .
There was no clouds in the sky and the weather was clear . There was other stars present as well as a crescent moon but nothing this else remotely this bright . On my video it seemed to split into two separate objects , although I did not see this with my eyes. It did not make any sound.