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London side Take junction 2 off of the M2 motorway. At the roundabout take the second exit back under the motorway. At the next roundabout take the 2nd exit and park somewhere on the A228

Parking at the location is problematic with only lay bys and pavement parking to choose from. But if you are prepared to walk there are lay bys on the A228.

There is no easy rail access with Strood being the nearest station which is a few miles away.

There are no facilities in the immediate vicinity but the city of Rochester is a few minutes drive away

South East Gen

The CTRL is a high speed line so it's very unlikely that you will get anything slow moving on the line. High shutter speeds are a must. Also digital camera users with shutter lag beware - the train will have travelled a coach length in the time it takes to take a picture!

If you want to see Eurostars at anything approaching 300 km/h, then either end of the CTRL is not really the place.
In the down direction, the first time you can get above about 280 km/h is as you emerge from the Tunnel from where it is that sort of speed until you hit the loops next to the M20 a few miles out from Ashford, when line speed goes down to 270 km/h. If you concentrate your efforts within a couple of miles of the motorway services at Bearsted, then even the trains that have stopped at Ashford should be back up to near enough full speed.
Many thanks to Nev Arthur - Eurostar Driver for the above comment.

Cuxton Station
Gillingham Level Crossing
Gillingham Station
Grain Branch, Church Street
Grain Branch, Cliffe
Medway Viaduct, (Country end)
Milton Range Halt
Rochester Station