Image source, Press Association

Welcome to those of you just joining us. We're entering the second day of US President Donald Trump's state visit. Here is today's agenda:

• Donald Trump and PM Theresa May will co-host a business breakfast meeting at St James’s Palace.
• Afterwards, Mr Trump and Mrs May will host talks in Downing Street, where the prime minister is expected to raise the issue of climate change.
• At lunchtime, First Lady Melania Trump will attend a Downing Street garden party with Mrs May’s husband Philip.
• At 13:45 BST, Mr Trump and Mrs May will host a joint news conference.
• This evening there will be a banquet at the US ambassador's residence, with Prince Charles and Camilla, Duchess of Cornwall in attendance.

Foreign Secretary Jeremy Hunt tweets that he is "honoured" to have attended last night's state banquet.

Meanwhile, International Trade Secretary Liam Fox tells Radio 4's Today programme he backs "my friend" Mr Hunt in the Conservative leadership race, describing him as an "entrepreneur by background".

Today Programme
BBC Radio 4

Image source, Getty

International Trade Secretary Liam Fox describes Ivanka Trump, Mr Trump's daughter, as "charming, intelligent, and extremely well-informed".

He tells Radio 4's Today programme that the pair spoke at last night's banquet, discussing Ms Trump's interests in women in trade and development, "and how we can use trade as an empowering tool to take people out of poverty".

He adds that she did not use the opportunity to pitch a business deal between the UK and US.

Today Programme
BBC Radio 4

Friend of Mr Trump and CEO of media company Newsmax, Christopher Ruddy, tells Radio 4's Today programme that he has advised the president to have his tweets "reviewed".

He says: "I have always said to him that I think tweeting is fine but it needs to be reviewed.

"I'm a journalist and I wouldn't even post anything to Newsmax without an editor. So it's always good to have a third eye on these things and I would encourage him to do that.

"But at the end of the day, he's the president and as you know, Donald Trump makes his own decisions."

As part of the state visit, and ahead of today's planned protests, Transport for London has closed some roads around Westminster and Green Park.

BBC Breakfast

Alex Kenny, who will join the Stand Up To Trump protest today, tells BBC Breakfast Mr Trump's views are "destabilising and polarising the world", adding: "We can't let this kind of visit go unnoticed or uncommented on."

"This is the most powerful person in the world and through his communications and through his policies… he's legitimising racism and homophobia,” he says.

On the trade discussions expected today, Mr Kenny says: "Sometimes I think Britain is stronger when it says no to America."

Christopher Ruddy, chief executive of US media company Newsmax Media and a friend and confidant of Mr Trump, says the president is "so happy" with the trip so far.

He tells Radio 4's Today programme that Mr Trump "loves this country", adding: "His mother was born in Scotland, he's always felt he was almost a British citizen."

Speaking about the Trump family, Mr Ruddy says: "They were so impressed, and these are folks not easily impressed. Remember they have their own ballrooms and palaces... so they're used to very high living, sort of American royalty."

BBC Breakfast

BBC political correspondent Jessica Parker says day two of Donald Trump's state visit will take on a different feel: "If yesterday was all about the pageantry, today is all about the politics.

"You couldn't really imagine two more different political leaders.

You've got President Trump the disruptor, the impromptu tweeter as we saw yesterday. And then you've got Theresa May, whose greatest misdemeanor was famously running through a field of wheat."

A multi-million-pound security operation is under way, creating an impenetrable ring of steel around the US president, as Donald Trump starts his UK state visit.

Read what he's brought with him here.

Image source, Getty Images

Image source, PA

Image source, AFP

Image source, Getty Images

Image source, AFP

See more pictures from yesterday here.

Laura Kuenssberg
BBC political editor

Image source, AFP

Theresa May, the careful politician who gradually inched her way upwards through the machine of the political party she loves and hoped to protect.

Donald Trump, who relishes baiting those who disagree with him, and taunting the media. Mrs May, who gives the impression she would rather be left alone with her red boxes.

This time that difference is all the greater because the prime minister is on her way out of the door, while the president seeks another term in office.

But don't expect dramatic joint announcements on Tuesday.

If the political outcomes are a barometer of power, the truth is that Theresa May's is fading - with the US and Donald Trump having at least half an eye on who is coming next.

Read Laura's full blog here

There are protests planned in several UK cities, including what organisers are calling a “national demonstration” in Trafalgar Square.

Labour leader Jeremy Corbyn will address protesters at the London rally, after he boycotted last night’s state dinner.

He tweeted that the protest was "an opportunity to stand in solidarity with those he's attacked in America".

Good morning. It is day two of the US president’s three-day state visit to the UK. On today's agenda:

• Donald Trump and PM Theresa May will co-host a business breakfast meeting at St James’s Palace.
• Afterwards, Mr Trump and Mrs May will host talks in Downing Street, where the prime minister is expected to raise the issue of climate change.
• At lunchtime, First Lady Melania Trump will attend a Downing Street garden party with Mrs May’s husband Philip.
• At 13:45 BST, Mr Trump and Mrs May will host a joint news conference.
• This evening there will be a banquet at the US ambassador's residence, with Prince Charles and Camilla, Duchess of Cornwall in attendance.

Join us throughout the day for live coverage.

That's where we'll leave our live coverage for today, as the first day of Donald Trump's UK state visit ends with a banquet at Buckingham Palace hosted by the Queen.

The day began with the US president reigniting his political feud with London Mayor Sadiq Khan moments before he touched down at Stansted Airport.

From there, the day was dominated with pageantry, with President Trump visiting Westminster Abbey and taking tea with Prince Charles and the Duchess of Cornwall.

On Tuesday, the trip will take a more political turn, as the president visits Downing Street for talks with Theresa May, followed by a joint press conference.

Outside, Labour leader Jeremy Corbyn will address protesters gathering in central London.

It's sure to be a busy day, so do join us again.

Laura Kuenssberg
BBC political editor

Image source, Reuters

No 10 is expected to urge the White House to take climate change more seriously, and to think carefully about its approach to Iran.

In the other direction, expect the US to raise concerns over involving the Chinese telecoms firm Huawei in developing British infrastructure and, of course, the tentative conversations there have already been about trading after Brexit are likely to continue.

But don't expect dramatic joint announcements on Tuesday.

If the political outcomes are a barometer of power, the truth is that Theresa May's is fading - with the US and Donald Trump having at least half an eye on who is coming next.

Read Laura's full blog here