While the Kazakh champions might arrive disorientated in the East End of Glasgow, Neil Lennon is his team will not lack a sense of direction in the first leg.
Although reliable information on Shakhter has proved rather hard to come by, the Celtic manager has taken on board the experiences of the Republic of Ireland team that travelled to Kazakhstan last September for a World Cup qualifier in which they prevailed 2-1, although it was anything but a routine victory.
Giovanni Trapattoni's side trailed 1-0 going into the last minute until a timely intervention from the best strike pairing Celtic never had, Robbie Keane converting a penalty and Kevin Doyle adding the winner.
The consensus from those at the Football Association of Ireland afterwards was that another day's acclimatisation would have been of huge benefit - there is a five-hour time difference - and consequently Lennon's side were due to arrive in Astana at 5.15am local time this morning, after a six-hour flight from Aberdeen.
"Speaking to the Irish association last week in Dublin they were saying they went a day too late," Lennon said. "Hence the reason we are leaving more or less straightaway [after yesterday's game at Pittodrie] and the recovery day on Sunday is going to be really important after the flight.
"We will probably take our own water and our own chef to make sure the food is OK as well, but by all accounts where we are going is quite westernised and up to speed.
"It's just a question of keeping the guys as fresh as we can. There's going to be a big time difference and a long flight. So getting them up and about on the Sunday is going to be important as well. Training, rest, recovery, players' fitness levels, injuries ... basically my medical staff are working day and night on that."
The draw has positives as well as negatives. Shakhter are, after all, in co-efficient terms at least, the weakest team Celtic could have faced at this stage, even if they won home and away in a previous round against BATE Borisov, the Belarusian outfit who took the scalp of eventual champions Bayern Munich in last year's group stage.
But while a short hop to Legia Warsaw or the likes might have been more challenging in football terms, the logistics of a trip to Kazakhstan take some beating.
Celtic have had to acquire visas for all current players, a process which, with players on international duty last week, required special dispensation from the Kazakh sports minister.
That means that even if Teemu Pukki, Schalke's Finnish striker, is signed before tomorrow's deadline, the five-day visa process will restrict his involvement to the second leg. No wonder Lennon feels Uefa should rethink their qualifying procedures a little in order to prevent this sort of situation cropping up again.
"For qualifying games, could you make them regionalised a bit more?" Lennon suggested. "Maybe eastern, central, western? Certainly, for the Europa League, look at the likes of Motherwell who had to go to Russia, or St Johnstone - they're out of pocket and that's not right. They're not getting rewarded at all for their efforts of last season.
"It would be better to have an idea of what might come ahead and help out some of the logistical planning. I'm not complaining because we're still in there with a great shout, but it's not easy."
As for the football, first-team coach Garry Parker watched Shakhter's league match against Astana yesterday. With only two of Shakhter's players involved in Kazakhstan's midweek international against Georgia, reports ahead of that suggested a team which eschew the more aesthetically-pleasing elements of the sport in favour of getting the ball forward at the earliest available opportunity. Additionally, for the third successive round, Celtic's away leg will be played on an artificial surface.
"I'm not convinced Shakhter will travel well," Lennon said. "They have to come here and I think with home advantage, with everything to play for, we'll be heavy favourites if the tie is tight. All our emphasis is going on trying to contain them then trying to nick a goal. Looking at them, they don't muck about, they try to get the ball forward quickly and play a pretty British-type game."
Such tactics will precipitate some important decisions in defence for Lennon, particularly now that Kelvin Wilson has departed for Nottingham Forest, but Steven Mouyokolo played at Aberdeen yesterday and Lennon could even throw in Virgil van Dijk.
"You don't want to throw him in sort of raw into a game like that," the Northern Irishman said. "But if it's needs must then we'll do that."
Few men in the Celtic line-up know more about the perils of long-distance travel than another of Lennon's defenders, Efe Ambrose. The Nigeria international was notoriously blamed by his team-mate Kris Commons for some costly errors in the last-16 encounter with Juventus last term soon after flying back from his side's Africa Cup of Nations win in South Africa.
As fate would have it, he is just back from another trip to Durban for his country's 2-0 friendly win. "It all depends on the outcome of the game," Ambrose said. "If you have a bad game, people start asking questions about the travelling.
"If you have a good game, nobody talks about the journey. For the last few years I have had to cope with the travelling. I am always flying and always playing."
On Celtic's ambitions in this season's competition Champions League, he added: "We want to look beyond the group stage and the second phase. We want to make sure we get to the quarter-finals because that would mean we are one step ahead. But it won't be easy as nobody looks at Celtic as underdogs after what we achieved last time."
In terms of travelling, Lennon's worst trip as a player came after a 2003 win against FBK Kaunas in Lithuania. "This [Kazakhstan] is the furthest I have been in Europe, that's for sure, but Lithuania was tough," he said. "On the way back the plane was on the runway and the speedometer broke.
"The guy didn't have a gauge of the speed so he was zooming up the runway and the next thing he just slammed the brakes on and we stopped about 50 feet from the edge of the runway. We had to stay another night because a bug had got into the filter and laid a nest and blocked the speedometer."
Logistical difficulties or not, get the right result on Tuesday and Celtic's return journey to the Champions League group stage really will have lift off.