yeah, but the people are the same. "don't worry, we've thought of everything, it's all under control, nothing can go worng."
Well, the thing about space travel is that it really is utterly predictable. Unless some force acts on a ship, it will travel in the same direction at the same speed forever. That's why the math to send a spaceship to the moon required very little computing power by today's standard. Indeed, the trajectory could have been worked out with sliderules (and probably was).
In addition, sensor technology is able to see large objects days or weeks before a collision is possible. And given the incredible speeds involved, a collision is extremely unlikely.
So unlike RMS Titanic, which had to grope through foggy, iceberg-filled seas, the TL13 space liner Titanic has no such problems. For drama, I assume that Really Small rocks can't easily be tracked so minor collisions are possible. But this really isn't realistic...
The space liner Titanic simply isn't subject to Acts of God like RMS Titanic was. Its problems will almost always be manmade.
later I'll see if I can run the approach vector math. sounds like fun.
To put it in perspective, consider that a size 7 planet's "0.25G" zone would occupy only 0.044% (1/2677th) of the area of that planet's 100 diameter zone. And that's using only two dimensions. The planet itself occupies 0.001% (1/10,000) of that area.
In 3 dimensions, a size 7 planet's "0.25G" zone would occupy only 0.0009% (1/107,979th) of the area of that planet's 100 diameter zone. The planet itself occupies 0.00001% (1/1,000,000) of that area.
So the chance of hitting a planet by accident is staggeringly remote. Individual grains of sand on a gym floor is probably understating the difficulty...
And as noted, to rendezvous with a moving planet, a ship chooses a trajectory that will place the ship at the planet's future location, assuming that the ship will accelerate at an exact rate for an exact amount of time, then decelerate by an exact amount for an exact amount of time. Any significant disruption in this sequence will result in a clean miss, *not* crashing into the planet.