Heathrow says the charges, which need to be approved by the Civil Aviation Authority (CAA), will help pay for £3 billion of investment, including the opening of the new Terminal 2 next year.
Airport bosses said that errors in previous passenger forecasts meant that Heathrow had lost out on around £650 million of charges over the last five years.
The CAA had based the previous level of charges on estimates that Heathrow would handle 78 million passengers a year by 2013, but the airport is only handling around 70 million.
More top news
His top speed is believed to be the highest ever recorded in the UK by a rider carrying a pillion passenger.
The mayor took time out from City Hall to join Conservative party workers handing out leaflets in Uxbridge and South Ruislip.
No matter where you look, London's population is getting older - with the exception of one of the capital's boroughs.