Bright light emitted plume before disappearing

Walking to the car, my mother and I both noticed a very bright light flying from west to east to the south of us. It was low in the sky and seemed maybe only a mile or two away. At first we thought it might be a helicopter, but we realized quickly it was a solid light with no blinking signal lights and no apparent shape other than the orb of light. As it flew, it emitted what looked like a plume of light/fog/smoke into the direction it flew, and then the single light seemed to break into two. For a minute or so our view of it was partially obscured by a large tree (unfortunately this is where I stopped filming). We watched it emerge from the other side of the tree, then it suddenly disappeared. A murky cloud seemed to be left in its place, which continued moving at the same pace and trajectory, but shortly thereafter the cloud disappeared too. It was a perfectly clear night, we saw plenty of stars and not a single cloud in the sky. We heard no sound from the orb.
Falcon 9
SpaceX
SLC-40, Cape Canaveral SFS