It is quite a lottery win when you think about the fact that 200 years after Khan launched his ship into the void of space, it would be found by a starship roaming that void, who just happen to have the one historian who is a expert of earth history from 200 years ago, sort of like hitting a bullet with another bullet while blindfolded going down a cobbled hill on a unicycle. Lol
Every so often--two cars will back into each other in an otherwise vacant lot![]()
The odds of a chance encounter in interstellar space are much, much lower than that. Astronomically lower
Fortunately there is a perfectly reasonable explanation.
When shooting it is common to "lead the target", aim a little ahead of its present position so the target and the projectile will arrive at the same spot at the same time.
Interplanetary probes are launched on curved orbits which will intersect the orbits of their target planets at a spot where the planets will arrive at the same time as the probes arrive. They aren't aimed in a straight line directly at the present position of the planet, because we don't yet have rockets powerful enough to travel on such trajectories.
The stars in our galaxy all orbit around the center of mass of galaxy, with silightly diffrent directions and speeds. So over time the directions between stars change slowly. So a starship travelling between two stars will airm in a direction slighty ahead of of the target star so both the target star and the starship will arrive at the same point at the same time.
Because the Botany Bay traveled at only fraction of the speed of light, they had to aim it far ahead of the trajectory of the target star, so that the target star and the Botany Bay would arrive at the same spot in space at the same time.
But when warp drive was invented, interstellar ships could travel hundreds or thousands of time of fast as the Botany Bay, and thus had to aim only a small fraction as far ahead of their target stars as the Botany Bay had to. So every faster than light shp which headed for the destination star of the Botany Bay would use a different course and would pass too far from the Botany Bay to detect it.
And as the Sun and the target star of the Botany Bay orbited around the center of the galaxy, the line between the Sun and the destination star got closer and closer to the trajectory of the Botany Bay. Eventually the line got close enough to the trajectory of the Botany Bay, and shps sensors improved so much, that a starship headed from Earth to the target star passed close enough to the Botany Bay to detect it. And that starship happened to be the Enterprise.
Possiby the Enteprise returned to its own era at the end of "Tomorrow is Yesterday" int he Solar System and so was heading to another star to begin its voyage to its assigned area of space, the star which happened to be Khan's destination.
So the the Enterprise encountering the Botany Bay doesn't have to be a great coincedence.
Though of course the particular area of interest of the historian assigned to the Enterprise is a bit of a coincidence.
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