Would would occur if a person travelled from a wormhole in flat empty space, to one on Earth?

Question

We are using a Morris-Throne Wormhole Metric. Let's presume the throat of this wormhole (in internal hyperspace) is short, let's say 1km.

Now, as you are travelling through the entrance wormhole, your speed is ~0 relative to the movement of the galaxy, however, you are moving through the throat onto a piece of mass (Earth) travelling at 107,000km/h relative to the galaxy. There would also be a sudden increase in galaxy-relative rotation (empty space with 0 rotation -> Earth with 460m/s). How would this transition occur? My current guess is an increase of local speed relative to the galaxy occurs during the movement throughout the throat.

Apologies if this question is hard to answer, but it only occured to me recently that this "transition" between empty space (space moving at no speed relative to the galaxy) and curved spaces (space with great local mass such as on a planet that is moving relative to the galaxy) is the reason why wormholes must be maintained many AU away from the centre of a system. In my world, wormholes are positioned in positions around their local star so that their velocity and rotation is equivalent to the other mouth. (1 wormhole 5 au around the star at 500,000km/h, another wormhole 8 au around a larger star at 500,000km/h)

Answer 1

Everything dies.

I have already given some answer in this site about wormholes, and I don't tire of reminding everyone that these beasts have mass. Even a very small one can be more massive than Earth - a one meter wide one would have a mass like that of Jupiter. Check this other answer for more details.

Anyway, suppose someone manages to jump through the mouth in interstellar space. They'll take anywhere between a moment and a few months to exit at the other side (regardless of throat length). The other side will contain the debris of what once was Earth, which will be orbiting the wormhole mouth.

The person will come out of the wormhole mouth fast as a bat come outta hell, in an escape trajectory of the sun. The higher probability is that it will miss all debris and will eventually leave the solar system. Less probable will be hitting some rock at a few kilometers per second, which probably results in instant death. The corpse might either orbit the sun or the wormhole, depending on how the impact changes their speed.

As for speed variation - it's all relative to the wormhole. They would exit it at the same speed they entered it. Keep in mind that since the wormhole is pretty massive, it will accelerate anyone approaching it. A ~1 meter wide wormhole will have a escape velocity of around 59.5 km/s at around one jovian radius from its "entrance", much higher at the mouth itself. What this means is that when you come around 35,000 km from a mouth, your speed will be at least 59.5 km/s relative to it. May be greater, but not smaller than that.

This also means that when you exit on the other side you will decelerate, and by the time you are 35,000 km from it you will still be going at 59.5 km/s in the very least (relative to the wormhole). Since the escape velocity of the sun around 1 AU is in the order of 42.1km/s, this effectively means it's a matter of time until you either fall into the sun or exit the solar system altogether.