The first thing you should do is open up the Directional Scanner and warp around the system
Locating Your First Target: Now it's time to give hunting a try. The first thing you should do is open up the Directional Scanner and warp around the system a bit Knight gold to see if you can locate your target's approximate position.
If you can find him on the scanner and narrow the angle down a bit, you can see what objects in the system are close to him. Once you have his rough position, launch the appropriate scan probe. If he is 10-15 AU away, use a Spook probe, if he is 5-10 AU use the Fathom probe, and if he is less than five AU away, use the Snoop probe.
If you can't find him at all on your scanner, he is either cloaked or in a 'deep safe-spot'. If he is cloaked, you will just have to give up for the time being because it's not possible to find cloaked ships with probes.
A deep safe-spot is a point in space that is more than 15 AU away from any object in the system, making it impossible to get close enough to see him on a scanner without the use of probes.
To find a deep safe-spot, you will need to use either Ferret or Observatory probes, depending on how deep it is, as these are the only probes with ranges exceeding 15 AU.