The twice daily flights depart London Gatwick at 07:00 and 14:10 each day.The flights are four hours long.
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"Calls and emails are coming in all the time" from players who say they had been forced to sign non-disclosure agreements, it is claimed.
Transport Secretary Chris Grayling believes Network Rail should share the responsibility with private train operating companies.
Commuters are facing a miserable journey this morning as a three-day strike begins in protest over driver only trains.