After you have left Tekagi's arch, after that little movie where Tekagi dies, you are supposed to flee with the others into the nebula. But first you need to kill some Rheinland strike force that arrives. It consists of some gunboats and other Rheinland fighters.

I am having the same issue. I dock, and the mission never continues. It just goes through the ordinary landing seqenuce, lets you reload, purchase ships, etc - but you can't continue the mission. Is there a resolution for this?

No one has an answer? Come on, there has to be a way to finish this mission!

After the cutscene you launch from Tekagi arch, Hekkera should upload a waypoint head towards it, then 2 Rhienland Gunboats and seveal Kusari Fighters arrive, but so does 2 Blood Dragons and Juni, destoy the hostile targets, head to the Chugoku jump hole, onece in Chugoku, head to kyoto. when u are able to land, watch cutscene, head to bar, accept mission for Hakkera.

I know I shall meet my fate, somewhere in the stars above, those I fight I do not hate, those I guard I do not Love

Are you sure you're landing in the right place? When you dock with Tekagi's Arch a cutscene should immediately activate.

I'm sure I'm landing at the right place. I just blew the shield generators - no problems there, heck I have time to take out the battleship and a few fighters, but usually when I take out too many fighters it says I ran out of time or some such junk. Ozu tells me to land, so I do, then it goes to a nice calm landing sequence and it doesn't proceed any further than that. I can shop, repair, buy a Titan if I was level 34, and launch to empty space, but the mission will not proceed. I've replayed both the 8th and 9th missions in an attempt to get past, but it fails miserably, with the same damn cutscene.

Buy a Titan ????????
Has someone been modding?

Wait a minute, you not only have the chance to repair and shop, but buy a Titan too?! I've heard of people using mods to unlock SP-only systems and whenever they enter the bases in those systems all they can do is take off again, but this is just plain weird. Go to the bar(if this base has one) and look at all the NPCs. What faction(s) do they belong to? Because it seems like your game thinks that Tekagi's Arch is a completely different base!

It is not possible to buy or repair your ship at Takegi's Arch. If your are playing with a Moded version of FL you might have to replay any mission prior to the Arch or delete the saved games and start over. The unmodded version of the game simply does not allow the player to do the things you have mentioned.