Stick "PSR " on the front and type it into the Galmap. It's there, right where it should be.
Don't know if it's important that the clue says "pulsars". A binary pulsar is a systm with a pulsar and another body which is not. Binary pulsars are two pulsars in one system. One is significantly more rare according to real world knowledge and in game much easier to identify than the other.
Unfortunately none of the pulsar systems do not match up to their real world counterparts even though we know very precisely the companions of almost all known pulsars.
In the real world, there is one system known that has two pulsars (i.e. neutron stars that we can observe as pulsars) orbiting each other, being PSRs J0737-3039A and J0737-3039B. These are both in game, though the system is nothing at all like reality.
Edit: Bonus Pulsar factoids:
PSR J0437-4715 is the most accurately timed pulsar. It has a rotational period of 5.757451 ms, so is a millisecond pulsar. Almost all millisecond pulsars are in binaries due to their formation method.
The PSR J0737-3039 system provides some of our best tests of general relativity to date. The binary period is 2.4 hours and the entire orbit will fit inside the radius of the sun. The masses of the two pulsars are known to three or four decimal places and are the most accurately measured masses outside of the solar system.
Both of these pulsars (actually all three I suppose) were discovered at the Parkes radio telescope in NSW Austraila.
Edit 2: Neither of these are particularly far away to visit. I dropped by PSRs J0737-3039A/B, J0613-0200 and J0437-4715 on the way back from the crab.