Police were called to the line near Newells Lane at 4.24pm on Thursday (November 5).
A British Transport Police spokesman said: “BTP and Sussex Police officers attended the incident, which is currently being treated as non-suspicious.
“Medics from South East Coast Ambulance Service also attended and a woman, believed to be 66 and from the local area, was pronounced dead at the scene.
“The woman’s family have been informed and a file will be prepared for the coroner.”
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