Image source, Getty Images

Viewing and listening guide to US presidential election results on the BBC.

Image source, AP

From casting a vote overseas to long queues of voters, the US electorate faces a number of complications.

Hillary Clinton has cast her ballot in  Chappaqua, New York state, alongside her husband Bill Clinton.

She is the first woman from a major US political party to vote for herself in a presidential election, as seen in this footage from the ABC news network: 

Image source, Rossiya 1 TV

BBC Monitoring has been watching Russian TV coverage of the US election campaign. The Russian broadcasts seem to be aimed at undermining faith in the US political system as a whole rather than promoting the interests of either candidate.

"Democracy, which the Americans have got used to teaching the rest of mankind, sometimes resorting to violent methods, simply does not exist," state Channel One TV declared.

While official Rossiya 1 TV opined that democracy in America has a "sickening stench". Dmitry Kiselev (pictured above), seen by many as the Kremlin's chief propagandist, has been echoing Republican attacks on Hillary Clinton and the US political system, but has little positive to say about Donald Trump.

All the main TV channels in Russia are calling the campaign "the dirtiest in US history," and since voting kicked off they have continued to focus on the imperfections of the US electoral system. It "sometimes leads to a situation when the winner is not the person favoured by most Americans," Channel One said. Whoever wins, Dmitry Kiselev suggested, will be a "lame-duck president".

The statistical analysis website run by Nate Silver, who famously predicted the US election result in all 50 states in 2012, has tweeted its latest forecast for the election, giving Hillary Clinton a 71.6% chance of victory. 

That's up from the 65% chance it was giving her on Sunday: 

Meanwhile, the latest BBC poll of polls projects a 48% share of the vote for Mrs Clinton, with Mr Trump trailing on 44%. 

Check out our US election poll tracker for more details. 

Where will the race be decided? Here's a quick digital video taking you through the final hours of the campaign and the swing states that are likely to decide who reaches the White House: 

It could be a whole load of worry over nothing, but security experts say the risk of the election being hacked should be taken seriously. 

The US Department of Homeland Security has been carrying out "cyber hygiene" tests on voting systems across the country, our North America technology reporter writes. Read more here.

Image source, Getty

• Voting started on the East Coast at 06:00 EST (11:00 GMT), though some villages in New Hampshire cast ballots shortly after midnight. 
• Both Hillary Clinton and Donald Trump took part in a hectic schedule of last-minute campaign events into the early hours of Tuesday. Both touched down in North Carolina, Pennsylvania and Michigan.
•  Mrs Clinton said she looked forward to a "hopeful, inclusive, big-hearted America". 
•  Mr Trump spoke of a "magnificent chance to beat the corrupt system". 
•  The result could emerge around 21:00 PST (05:00 GMT) once the West Coast finishes voting. Individual state projections are expected after 19:00 EST (00:00 GMT)           
• Hour-by-hour guide to the election results

In case you fancy a different way of getting into the elections, here's a clay explainer on the two candidates from our friends at the BBC's Newsround: 

Democratic vice-presidential candidate Tim Kaine urged Americans to vote as he cast his ballot in Virginia: "Just turn out and participate."

It's a similar message from Hillary Clinton's team, delivered in a slightly less predictable way:

Stars including Lady Gaga, Madonna, Beyonce and Bruce Springsteen all got behind Hillary Clinton in a bid to help get the Democratic candidate over the line. 

Watch a roundup of the key A-list endorsements from the campaign's closing stages:

Recognise these two cuties? 

Have a look at our photo gallery showing the evolution of the two presidential candidates through the years. 

Image source, Clinton and Trump campaigns

Nick Bryant
BBC New York Correspondent

Image source, Getty Images

Some of the wisest words I have heard during this campaign came from the governor of Ohio and Republican presidential hopeful John Kasich.

During a campaign stop at a brewery in Michigan, he explained how he had implored young aides, during a picturesque swing through the upper peninsula of the Great Lake State, to avert their eyes from their smart phones and to take in the scenery passing by unnoticed outside.

Though sometimes it meant coming late to the newest Trump Twitter storm or reading the freshest batch of Clinton campaign emails a few minutes after Wikileaks released them - an eternity in this age of hurtling news cycles - I have tried to heed his advice.

For the landscape of America is not just a wonder to behold, but always provided clues to this election.

Read Nick's full piece on whether the US has got the politics it deserves.

Confused about swing states and electoral college votes and how they are crucial in deciding who gets to the White House? 

The BBC's Jeremy Vine explains the complicated maths that will decide the US presidential election result, with the help of some very clever computer graphics: 

See the BBC's hour-by-hour guide to the US elections

Image source, ap

Tim Kaine, Democratic vice-presidential candidate and running mate of Hillary Clinton, has arrived at a polling station in Virginia to cast his ballot, according to this Fox news reporter:

Today Programme
BBC Radio 4

The polls have not even opened in most places but the first unofficial result is in.

Mark Dindoff is the selectsman for the tiny New Hampshire town of Hart's Location where they already have their results. He told the BBC's Today programme who had won the battle for their 37 votes.

Today Programme
BBC Radio 4

The election campaign has been beset by misogyny, fear and xenophobia, says Daily Beast founder Tina Brown.

But she predicts there will an "enormous surge of joy" if her favoured candidate, Hillary Clinton, is elected as the first woman president.

Radio 4 PM programme