2 white lights, we initially thought they were stars, then thought they must be satellites, as they were moving.

The first one moved slowly, like a satellite, then another began to move towards it, at a similar speed. They continued moving towards each other. They met and crossed each other, but didn't go far. They began to come back together, then, in close proximity from each other, seemed to 'dance', i.e. swapping places in a clockwise, anti-clockwise, clockwise motion, repeating this a few times. The first one then started to move away slowly, while the second one stopped still. The second one then moved away a little faster.

I thought these were satellites until my friend told me that satellites do not move in this way. Can you confirm this for me, please, or attempt to explain what we saw that night?