South West Trains tweeted this picture of a tree on the line at Sherborne. They say staff are expected on site to move it in the next 20 minutes.
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The sunrise was loudly cheered by crowds at the Neolithic site.
Professor Sir Brian Jarman told BBC Radio 4's Today programme "it's likely" that similar events to Gosport have occurred in other hospitals.
It comes after a report found more than 450 patients had their lives shortened after being prescribed powerful painkillers.