How do they take into account the relatavistic effects of time dilation? Just from Earth orbiting around the solar system, the relative velocity could change by up to 60km/s. I guess that's relativity easy to deal with as it's known, but what about our orbit around the galaxy, or the pulsar's own orbit?
I think you can do everything from the perceived time.
GPS system need to reconstruct the time of the satellites because we know they tick in sync, but those star tick independently it’s really about observing the blinking.
Yes but satellites revolve around us consistently. A pulsar's distance from Earth is dynamically changing according to several distinct systems: the Earth's orbit, the Sun's orbit and the pulsar's orbit.