2 objects, Thought they were stars at first. One remained stationary while the second object circled counter clockwise

In my backyard right after dark as usual tending to chickens. The stars just started to become visible. There was a really bright star that I assumed was a planet. Wasn’t moving. A few minutes later I noticed out of the corner of my eye a star-like object doing perfect circles around the bigger, brighter planet/star-like object, then quickly accelerating and fading out. Eventually, the brighter and larger stationary object disappeared. This occurred about 120 degrees southeast of my backyard. See additional report for info on daytime sighting the next day.