2 stars orbiting each other before breaking apart and flying out of sight

Two objects which appeared to be stars few at one another, one from the east, another from the west. They were both single bright objects that looked indistinguishable from the other stars in the sky aside from the fact that they were moving. Upon reaching each other they seemed to start orbiting each other not unlike a binary star system for 4 or 5 revolutions before breaking off and continuing to fly in their original directions before becoming dimmer and disappearing from view. From my vantage point this interaction occurred between the constellations of Orion and Sirius. These "stars" appeared about the same luminosity of an average star, around the same as those in the constellation of Orion but not as bright as Sirius of Venus. As they flew away I tried to follow one of them but it quickly became too dim to see. This whole episode lasted about 8 to 10 seconds. There were aircraft in the vicinity but not near this event, and the objects I witnessed did not have any blinking lights typical of aircrafts and only appeared as one solitary light.