Both airports are investing millions in equipment to prevent future travel misery.
And the government is now bringing forward legislation to tackle drone misuse and abuse after critics said it delayed reforms, an accusation which was rejected by the Department for Transport last month.
It includes plans to give officers additional power to land, seize and search drones.
Exclusion zones will also be widened to a 5km radius (more than 3 miles) around airports in an area shaped like a London Underground sign, with straight line extensions for runways on either side of the no-fly circle.
Officers will also be given the power to issue fines of up to £100 for minor drone offences such as failing to comply with a request to land a drone or not showing their registration to operate such an aircraft.
Baroness Liz Sugg, the aviation minister, said: “Drones have the potential to bring significant benefits and opportunities, but with the speed of technological advancement comes risk, and safety and security must be our top priorities.
“That’s why we are giving the police powers to deal with those using drones irresponsibly.
“Along with additional safety measures these will help ensure the potential of this technology is harnessed in a responsible and safe way.”