You don't get to a fares check if stations share a routeing point. The permitted routes are the shortest route to a routeing point and the shortest route from the routeing point to the destination, without doubling back.
Not the shortest route, but direct trains to and from the common routeing point, stopping short of the routeing point if required to avoid doubling back, as per Part F of the NRG.
Bekesbourne has no direct trains to Ashford Intl, or to Ramsgate Group.
Sturry has no direct trains to Dover Priory or Faversham.
So nothing here.
(Plus the shortest overall route and a through train, if one exists.)
No through train. The shortest route can be calculated here:
http://www.bukitlawang.com/routes/routes.aspx
and is
Sturry 0
Minster 9
Sandwich 13.75
Deal 18
Walmer 19.5
Martin Mill 22.25
Dover Priory 27.25
Kearsney 29.5
Shepherds Well 32.75
Snowdown 34.75
Aylesham 35.75
Adisham 36.75
Bekesbourne 39.75
This is Sturry - Minster - Sandwich - Dover Priory - Bekesbourne.
There are only two trains per day in each direction between Minster and Sandwich. The route via Ramsgate is more than 3 miles longer, and not permitted.
07:54 and 08:16 Minster - Sandwich
15:56 and 16:56 Sandwich - Minster
If you pick a suitable time of day, NRE will sell you one ticket for the complete journey:
http://ojp.nationalrail.co.uk/service/timesandfares/STU/BKS/030413/0740/dep?directonly&via=Deal
http://ojp.nationalrail.co.uk/service/timesandfares/BKS/STU/030413/1307/dep?directonly&via=Deal
The ticket is therefore valid Bekesbourne - Dover Priory, Dover Priory - Sandwich, etc. It is cheaper than those tickets, but the saving is not as much as you might think.
If you wanted to do the full loop for some strange reason, and there was no Sandwich - Minster train, you'd need a ticket valid for Sandwich - Ramsgate - Minster.
Minster is in the Ramsgate routeing point.
According to NRE, a Sandwich - Minster ticket is valid via Ramsgate. There does not appear to be a relevant easement permitting this, and the NRG does not say that it is permitted, but one must only assume that the 'common routeing points rule' also permits this. Note that Sandwich - Sturry, where both stations are associated stations, as opposed to one associated station and one routeing point, is unambiguously valid via Ramsgate.
Shorter routes using a recognised walk are also permitted by the routeing engine, however recognised walks are not defined anywhere, so again this is another ambiguity....
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So the ticket is valid to travel Sturry Ramsgate Dover Bekesbourne (going direct between Minster and Sandwich if a train is available) for £3.50 (off-peak day single)
You cannot go via Ramsgate, only Minster. You would need two tickets for Ramsgate.
There must be similar cases wherever there are twons with two stations that are not rail linked
The Dorking lines have similar.
I think I'll have a look at Maidstone next!
Yes, similar there.