STS Tranquility
With the navigation laid in, following a beacon to the STS Tranquility, Friday pilots your ship on an indirect direct route. The gravitational tides of the star Sigma Madelline, along with the gas giants and rocky planets, along with acceleration and braking thrust phases, make the route a long uneven arc rather than a straight line.
17 hours later...
The ship approaches the STS Tranquility, the complex braking thrust getting you into a parallel orbit around the star near by. Matched and just slightly higher, you get a good view of the science vessel. The powerful sensor arrays are extended (they would be retracted in transit) but there are no lights shining from the vessel, other than navigational warning beacons that flash routinely.
How do you propose to investigate the craft?