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kljesta64 said:

It can not slow the planets rotation because its not moving at all..to slow it down or to stop it it would have to be a much stronger force than a big wave,I think.. about the ship I remember they could barely walk which means there was no zero gravity so its only natural how the ship and the crew behaved. so how was the wave affected by zero gravity (or black hole pulling it up) but not the rest.. my best bet is that the planets gravitational field (when the wave was created) at some moment was off place and probably still is (probably fluctuating) so it got caught by the black hole in the higher orbit or there would be no wave AHAHHAA I dont know weird things happen around a black hole .. I blame the black hole.

planets and suns can orbit around a black hole for thousands of years..I didnt really get the part about those freakin years I cant even start thinking about them..

SvennoJ said:

 Docking with a spinning space station out of balance, basically a giant wobbly wheel. Then applying thrust outside the center of mass to escape orbit. It would just start the station spinning again. 

didnt they turn off the thrusters before docking ? then they applied forward thrust while the station was still spinning but that would not make it spin even more..

 

Yeah they used the time difference to explain why nothing evolved on that planet, not much time has passed there yet on an evolutionary time scale. I guess you can also use that to explain tidal lock away (The wave has friction with the planet underneath and will slow it down eventually) Tidal forces not breaking up or heating up the planet are a bit more difficult to ignore.
Gravitational time dilation gets rather difficult together with rotating objects in orbit. I found that article from Neil deGrasseTyson. He also admits that they took some big liberties with the theories. Interesting article anyway.

Funny part: Why not send robots:  as I understood it, they did not know which planet they would go to until they came out on the other side of the wormhole, and that’s not a decision a robot could make because you’re not communicating with the robot through the wormhole. So, humans had to be there to make that judgment once they got across and got the extra data. Yep that worked out well :)

About the docking. The docking port would not be at the rotational axis with a big part of the station missing. It would be wobbling around in a circle and impossible to dock with. (Assuming the unlikely scenario that an explosion causes a single axis rotation in the first place) After achieving docking, they fire the thrusters to counter rotation, yet those thrusters are not in line with the centrifugal force. You would get part vector that slows the rotation down and a rest vector that starts another rotation. Granted they somehow get the rotation under control, then they fire the main thrusters whike hanging under the center of mass. Besides going forward the station would start to somersault as well. Then they use the 2 landers for a sling shot around the black hole (you don't really need extra power to get through a sling shot unless you start it wrong, then it takes a whole lot of force to fix your orbit at that point). I guess this time they positioned the landers correctly. Yet when the one runs out of fuel first, the other keeps pushing and it should start to spin again. Manoeuvering things in space is a bitch :) I guess at the last part they use the station's thrusters, otherwise he would not fall away when he disengages either. So I guess they can balance out the thrust for that last manoeuvre. Everything before that is hogwash.

I guess they could have done a space walk to board the station and fix it with the station's thrusters. It would look too similar to Gravity I guess. Send Tars. Although why don't they have remote access to the controls in the first place.

Anyway it's not like Star trek ever designed their ships to have the main thrusters push against the center of mass :) Has to look good first.