Two lights travelling toward each other.

Observing a clear night sky, I noticed what what appeared to be, by speed, brightness etc., a man-made sattelite travelling from south to north. After observing for about 2 minutes, I noticed a similar object travelling directly towards the first object, on the same (180 degrees out) course, at the same speed.
The two objects, when almost touching each other, abruptly stopped and remained stationary for about 30 seconds.
Then, literally at the speed of light, both objects disappeared in an easterly direction.
The local RAAF base (Pearce) was contacted, and informed me that there were no aircraft movements in the area, and that nothing had been seen on radar.
Date is approximate.  PD