Vanadium 50 said:
Hey, if the rules allow a starship, surely they allow a spectroscope. But I picked these stars because they are the brightest in the neighborhood. You don't need much more than "the really bright blue one over on the left" to identify them.
You do. Because there are a lot of bright blue stars in Milky Way. You do not know which one you are looking at. The three stars of Orion´s belt look much the same, so look at the belt from a different direction, and it´s hard to be sure of identification.
Vanadium 50 said:
The problem with distances to known objects is that we know these distances only to within a few percent. If your cluster is 5000 ly away, you know where yo are to maybe 200 ly.
Yes. Which is why the angular direction from Sun is much better known one.
The line between Small Magellanic Cloud and 47 Tucanae nicely points near the Sun. From Sun, the angular distance between centres of SMC and 47 is under 3 degrees - 47 is in front of outskirts of SMC.
47 is about 17 000 ly from Sun. Therefore, it is findable and identifiable in the general region of Magellanic Clouds for thousands of ly around Sun.
The said angular distance of 3 degrees is about 6 times the size of Moon. Suppose you are able to measure the distance with error of moon´s size - whether is´s 5 or 7 times the size of Moon. That 30 minutes should be improvable with tools, even without magnification.
Ascertaining that 47 Tucanae is displaced 30 minutes from its normal position would on the assumption that the distance is 17 000 ly tell you that you are 150 ly from Sun. Suppose your assumed 17 000 ly is in error by 1000 ly. This then means that you are making 10 ly error in your position - which you also would be making by 2 arc minute error in measuring the 3 degree distance between two hazy objects.
So, once you are within a few hundred ly of Sun, you can start picking up nearer objects. Like open clusters.
Making the detection threshold harsher, like magnitude 5,0, by my count leaves 10 Messier and 15 Caldwell objects, total 25.
Of these 25, 1 is a star cloud (M24), 1 a galaxy (M31 Andromeda), 3 nebulae (Orion, North America, Carina), 2 globulars (C80 Omega Centauri, C106 47 Tucanae). Remaining 18 are open clusters.
Noting the distances (and leaving the 3 nebulae in):
M6 4,2 1600ly open (Butterfly Cluster)
M7 3,3 1000ly open (Ptolemy Cluster)
M25 4,6 2000 ly open
M41 4,5 2300ly open
M42 4,0 1300ly nebula (Orion)
M44 3,7 600ly open (Beehive)
M45 1,6 400ly open (Pleiades)
M47 4,2 1600ly open
8 Messier objects in total, 1 of them nebula, 400 to 2300 ly
C14 3,7 7500ly open (Double Cluster)
C20 4 1600ly nebula (North America Nebula)
C41 0,5 150ly open (Hyades)
C50 4,2 5200ly open
C64 4,1 5000ly open
C76 2,6 6000ly open
C85 2,5 500ly open
C91 3 1600ly Wishing Well Cluster
C92 3 7500ly nebula (Carina)
C94 4,2 6000ly open (Jewel Box)
C96 3,8 1300ly open
C100 4,5 6000ly open
C102 1,9 500ly open (Theta Carinae)
13 Caldwell objects. So total 21 Messier and Caldwell objects, of which 3 are nebulae and 18 open clusters. 5 of the 18 are within 1000 ly of Sun (M44, M45, C41, C85, C102), the remaining 13 are up to 7500 ly away (shared by Double Cluster and Carina Nebula)
What is the angular distance between Carina Nebula and Theta Carinae cluster?