Trump becomes US president
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- Donald Trump sworn in as 45th US president, in historic power transfer from President Obama
- In his inaugural address he vowed to fight for the "forgotten" Americans
- Taking aim at Washington elites, he vowed: "Our country will prosper again"
- Protesters have smashed windows and clashed with riot police on Washington's streets
- Watch live coverage by clicking on play button above, on BBC World News, BBC World Service radio and, in the UK, the BBC News Channel
Live Reporting
By Max Matza and Yaroslav Lukov
All times stated are UK
Bush watches from hospital
A spokesman for former President George HW Bush, 92, says he and his wife Barbara, 91, son Neil, and daughter-in-law Maria were watching the inauguration ceremony from Houston Methodist Hospital in Texas.
Mr and Mrs Bush were both admitted to hospital earlier this week due to dizziness and breathing issues.
In a letter to President Trump, Mr Bush wrote that "my doctor says if I sit outside in January, it will likely put me six feet under".
"Same for Barbara. So I guess we're stuck in Texas," he wrote.
His son, former President George W Bush, sat on the dais during the inaugural ceremony.
A tale of two presidents in pictures
Some more photos of all the day's action here.
Compare and contrast
This image comparing Obama's 2009 inauguration with Trump's is circulating...
Trump impeachment effort begins
The website impeachdonaldtrumpnow.org has just gone live.
The organisers behind the campaign, Free Speech for People and RootsAction, cite Trump’s ownership of his luxury hotel and golf course businesses while in office.
They allege this is a conflict of interest and an ethics violation.
Read up on all of Trump's potential conflicts of interest here:
Donald Trump: A list of potential conflicts of interest
Trump signs orders
As former President Obama speaks, Donald Trump signs orders for formal Cabinet nominations and a proclamation for a national day of patriotism, his spokesman says.
Obama 'milking it'
"Michelle and I have been really milking this goodbye thing," says Obama.
He says he and Michelle were just the "frontman and frontwoman" of the movement.
"Yes we did!" Obama says as he leaves.
Obama: 'The privilege of my life'
Despite the naysayers, "all of you came together, in small towns and big cities, a whole bunch of you really young, and you decided to believe".
He praises those who campaigned for him and explained to their "parents how to pronounce Barack Obama".
"This has been the privilege of my life."
Some Trump supporters didn't stick around
Tara McKelvey
BBC News, White House correspondent
"Once President Trump started speaking, hundreds of people - many wearing Trump hats - started heading out in the Silver Ticket section. Some said they were hungry or wanted coffee. But still it was surprising to see so many people leave during the speech."
'You pathetic loser'
Trump ally Roger Stone has taken to Twitter to air some grievances, and pat himself on the back.
Check out his top hat and three-piece suit.
Obama thanks supporters
"When we started on this journey, we did so with an abiding faith in the American people and their ability, our ability, to join together and change the country."
We knew that "change didn't happen from the top down, but the bottom up".
'Yes we did!'
"Yes we did!" a crowd is shouting for Obama, as he lands at Andrews Air Force base.
The former first couple are listening to the national anthem with their hands held over their hearts.
Has Trump borrowed Obama photo?
New York Magazine editor Kyle Buchanan notes the background photo of the new Donald Trump presidential Twitter account - crowds waving flags in front of the Capitol building - is actually a photo from Barack Obama’s 2009 inauguration.
Some have noted that crowds were somewhat sparser at today's Trump swearing-in, compared with Obama's.
Biden takes the train
Former veep Joe Biden is now travelling in somewhat less grander style.
He and his wife, Jill, have just boarded an Amtrak train which will take them to their home state of Delaware.
Biden, who served for decades as a US senator, famously liked riding the train into DC every morning, rather than live in the capital city itself.
The ride is just about two hours in each direction.
Who was the designated survivor?
In the event of a disaster, one member of the president's cabinet always stays behind.
That person, who is known as the designated survivor, was Secretary of Homeland Security Jeh Johnson.
In the event of the worst, he would have wound up as the new US president.
Millions watch
Trump's inauguration ceremony was broadcast live to millions of people around the world.
Trump tweets... from his old account
Rather than using his new @POTUS Twitter account, the new president has used his @realDonaldTrump account to tweet segments from his inaugural speech.
What was missing from speech?
More snap analysis from BBC reporters...
Obama policies wiped from White House website
The Wall Street Journal's energy reporter spots this:
In fact, all of the White House policy pages have been deleted or replaced by this image:
Trump effigy burns in Montreal
Solidarity protests are going on across Canada.
Here are some images from the scene in Montreal.
Length of Trump speech
This from the Washington Post:
Trump’s speech was about 1,400 words versus about 2,400 for President Obama’s first inaugural speech.
Obama’s second inaugural address in 2013 was about 2,100 words.
So this is goodbye, Obama
Obama and the former First Lady have just boarded a military helicopter which will take them to Andrews Air Force Base.
The chopper is called Executive One - not Marine One - since Obama is no longer president.
The Obamas will then will board a plane to California for a holiday.
The LA Times says the Obamas are headed to Sunnylands estate in Rancho Mirage, where the former president has taken several golf vacations and hosted foreign leaders over the past eight years.
As the former president departed, he shook hands with Trump and his wife, and also thanked his security detail
Trump cheered by crowds on terrorism
Trump's reference to radical Islamic terrorism went down especially well with the crowd. The new president had consistently accused Obama of avoiding the term out of political correctness.
Obama had retorted that he was reluctant to lump in militants with the more than a billion Muslims around the world.
Trump word cloud
These are the words Trump used most often during his speech.
Each word is given a size to indicate how frequently it was used.
It appears that "America" and "Americans" were some of the President's most often-used words.
'Populist and nationalist to the core'
More insta-analysis from our correspondents at the scene...
Picture: Trump taking the oath
The new president flanked by the new first lady, Melania, and their son Barron.
'To the best of my ability, which by the way...'
The New Yorker takes an inauguration potshot at Trump's bombastic speaking style.
How long until he tweets?
President Trump now has control of the official @POTUS Twitter account, including all of the followers it comes with.
How long until he uses his new megaphone?
Listen: The 'angriest inaugural address' - professor
BBC Radio 5 live
Dr Mike Cornfield, associate professor of Political Management at the George Washington University, told BBC Radio 5 live's Anna Foster he thought President Trump's address was the "angriest inaugural address" he had ever heard.
Dr Cornfield said he thought the new president's approach was "confrontational", "vintage populism" and "extraordinary for a man who did not win the popular vote and did not fill this Mall".
More speech snippets
Trump on radical Islamic terrorism, and hopes and dreams...
Talent show teen v Beyonce
The National Anthem was sung by 16-year-old former America's Got Talent contestant Jackie Evancho, accompanied by the US Marine Band.
Her performance sounded like it was live. In 2013, Obama's last inaugural, Beyonce was criticised for lip-synching the national anthem in her performance.
BBC reporters in the area say crowds are now repositioning themselves to try to get a view of Trump as he leads a parade back to the White House.
@FLOTUS turned over to the new first lady
The @FLOTUS account has also been turned over, passing from Michelle Obama to Melania Trump.
Michelle Obama is now tweeting from @FLOTUS44.
Rabbi faces backlash
Trump had three clergy deliver invocations, and now he’s got three more for benedictions and scripture readings. Six is an inauguration record. Most have two, Nixon had five.
The rabbi, Marvin Hier, founded the Simon Wiesenthal Center in Los Angeles to fight anti-Semitism and bigotry. More than 3,000 people signed a petition asking him not to participate in this inauguration because they said Trump has only encouraged bigots.
Rabbi Hier stood by his decision. He is friendly with the family of Jared Kushner, Trump’s son-in-law and an Orthodox Jew. His family are big donors to the Wiesenthal Center.
'Rain is a sign of God's blessing'
As prayers continue, Reverend Franklin Graham tells the new president that the rain falling is a sign from above.
'We did it' - ex-KKK leader
A "we did it" congratulatory message from former KKK leader David Duke.
Obama: 'Good job, good job'
"Hear these words. You will never be ignored again," says Trump as he rises in a crescendo to finish with his signature promise.
"Together we will make America wealthy again.
"We will make America proud again.
"And yes, together we will make America great again."
"God bless America", he says twice before leaving the lectern.
Obama seen mouthing: "Good job, good job."
'We all bleed the same red blood'
"A new national pride will lift our sights and heal our divisions," says Trump.
"It's time to remember that old wisdom our soldiers will never forget. That whether we are black or brown or white we all bleed the same red blood of patriots."
Trump speech - snap analysis
Here's snap analysis on Trump's speech by BBC correspondents.
'Time for empty talk is over'
"We must think big and dream even bigger. l will no longer accept politicians who are all talk and no action, constantly complaining, but never doing anything abut it," Trump says.
"The time for empty talk is over, now arrives the hour for action. Do not allow anyone to tell you that it cannot be done."
'Always pursue solidarity'
"There should be no fear," Trump says before praising the nation's law enforcement and armed forces.
"Most importantly we will be protected by God" he tells the crowd.
'No room for prejudice'
"When you open your heart to patriotism, there is no room for prejudice"