I was thinking about this and the "way" I got my players into a Time Travel Mode, was to cause a accident to happen. I had them being chased by either Pirates or Waht-ever, had their ships jump engine, power plant, and maneuver engines all take minor hits. All are still working but giving off some non-standard signals and etc (needs some repair and maintance). Then I force them to run to close to a sun and have to jump, with the computer not working at 100% either so it is less than perfect jump calculations. Thus it is a kinda Mis-Jump, that from the get go can be determined that something is strange/different/wrong.
So thus they end up in a different system with a bunch of mechanical failures, and damage. One but has to look at the ship to see that it has taken damage from a fight. The crew can mostly fig or rig most systems to get by to limp into the local starport, that is most likely a type "C".
Now I would have this Starport a Corporation owned one, and most of the authorities are lax to say the least, and are willing to overlook certain matters and issues for a "price". Please note I have always run my campaigns in the Verge Subsector, and have three Corps that have been fighting one another there for a long time; Pell Corp, GTE Tech. Corp, and Treckeon Corp. The Verge sub-sector has always been a backwater location and has never had a strong Imperial presence to control the peace there. It has relied on local governements and these Corps to do that...mostly over the years.
So to continue, I have the ships transponder replaced with a current one, and then the player continue on in many different adventures. I then involve them in what they would consider historic events, like causing a local War and etc. They try to stop it but in so doing so, they cause a person to die that was to die and setting the stage for events to happen they way they did.
I have always lived with the "Rule" that if one can go back in time that anything that they do there, they were meant to do and they are not changing anything. Remember with most histories, they are written from someones perspective, and that means it might not be totally correct or stated exactly as it truly happened. So the written history might not be exactly what or how something actually happened
Now this does leave you the GM with lots of room to have fun!