Lyse Doucet
Chief international correspondent

A leader who has never been fully tested takes the helm in Iran when its theocracy faces its greatest test in five decades.

Continuity and connections have pulled Mojtaba Khamenei, 56, to the top after the assassination of his father, Ayatollah Ali Khamenei, in the first salvos of this war.

But Iran’s third supreme leader since its 1979 revolution takes charge as the Islamic Republic confronts an existential battle.

For those who still mourn the loss of the many thousands killed in that crackdown on those protests, a harsh, hardline regime seems set to become even harsher.

Mojtaba Khamenei worked for decades in his father’s shadow; he knows all the details about how the deep state works when it confronts external threats and internal upheaval.

And this war is no longer just a political fight; it’s intensely personal. It’s also about revenge.

Mojtaba Khamenei lost not just his father in the Israeli strike on the supreme leader’s compound, but also his mother, Mansoureh Khojasteh Bagherzadeh, his wife Zahra Haddad-Adel, as well as a son, on that fateful Saturday morning.

Trump is warning that Mojtaba Khamenei “won’t last long”. He is in Israel’s sights too, with Defence Minister Israel Katz calling him “an unequivocal target”.

So Khamenei may still remain in the shadows for a while. It will deepen the mystery around this reclusive cleric.

• Read more of Lyse’s analysis here

The fall in oil prices on Tuesday is a moment of respite for global markets, but it is not a return to normal yet, especially for drivers at the pump, industry analysts told the BBC.

Petrol prices are fast to rise but slow to fall because sellers will want to sell the fuel they have already bought at a higher cost before reducing charges, said Alberto Bellorin from InterCapital Energy.

“The relief at the pump will take much longer to materialise,” he said.

Park Kee Hyun from the S Rajaratnam School of International Studies said “uncertainty remains high” despite the drop in oil prices on Tuesday.

Fuel prices will remain “volatile” as companies will charge a premium for shipments to account for any risk of the situation worsening, said Park.

Prices of US-traded crude and Brent have both fallen by more than 6% on Tuesday after surging since the start of the conflict.

Read more here.

Five members of the Iranian women’s football team have been granted humanitarian visas in Australia amid fears for their safety after the team declined to sing the national anthem ahead of their match against South Korea last week.

This prompted criticism in Iran, with one conservative commentator accusing the team of being “wartime traitors” and pushing for harsh punishment.

Immigration Minister Tony Burke said the women “were moved to a safe location” by Australian police. He said other squad members had been told they are welcome to stay in the country.

“They want to be clear they are not political activists. They are athletes who want to be safe,” he said, adding that talks had been going on over several days.

Late on Monday, US President Trump issued another warning to Iran about disrupting shipping in the Strait of Hormuz.

“If Iran does anything that stops the flow of Oil within the Strait of Hormuz, they will be hit by the United States of America TWENTY TIMES HARDER than they have been hit thus far,” Trump said in a post on his social media platform Truth Social.

About 20% of the world’s oil passes through the strait and the war has severely reduced sea traffic and sent global oil prices soaring.

“Additionally, we will take out easily destroyable targets that will make it virtually impossible for Iran to ever be built back, as a Nation, again — Death, Fire, and Fury will reign upon them — But I hope, and pray, that it does not happen!” he said.

Faisal Islam
Economics editor

Monday was the most volatile day of oil trading in world history. The oil price spiralled to $115 (£86) a barrel at one point early in the day, but word soon emerged of an emergency meeting of the G7 finance ministers.

Reports suggested there could be a 300 million-barrel release of emergency stockpiles co-ordinated by the International Energy Agency.

The speculation alone was enough to temper the rise in prices a bit, but they remained much higher than pre-conflict levels.

Then, however, word emerged of what sounded like a pivot away from a long-run war by US President Donald Trump, and the oil price went into freefall, dipping below Friday’s close. When Monday’s trading day started in Asia the oil price was hovering around $90.

The spiral up can be of little surprise of course when millions of barrels of crude oil are shut in to the Gulf, and when most Gulf countries are now – at best – reporting a slowing of their production, and at worst declaring force majeure shutdowns – a clause freeing them from liability for failure to supply due to events outside their control.

Read more here.

Ten days since the US and Israel launched strikes on Iran, the conflict’s impact has widened significantly, with Iran retaliating, Israel striking Lebanon, and oil prices surging. Iranian officials have selected the late supreme leader’s son as his successor, but Trump has signalled Mojtaba Khamenei does not have his support. Previously, US President Donald Trump said he wanted a say in the selection of Iran’s new leader.

Here is a roundup of key developments in the war:

• Speaking in Florida on Monday, Trump said although the US has had many military victories in Iran and the war would be completed soon, the US is “going to go further”. “We’ve already won in many ways, but we haven’t won enough,” Trump told Republican lawmakers
• The Iran Revolutionary Guard Corps has responded to Trump’s comments that the war in Iran would end soon, saying that they will “determine the end of the war”. Tehran will not allow “one litre of oil” to be exported from the region if the US and Israeli attacks continue, the IRGC says, according to Reuters.
• Trump describes the war as “an excursion” from his policy priorities but says it is important because he believes Iran was going to attack the US and Israel first
• The US president, however, does acknowledge the war’s economic and social impacts at home, saying the tumbling stocks will rise again soon and that US personnel deaths were unavoidable
• His comments come on the same day Trump had a phone call with Russian President Vladimir Putin and as the US military publicly identified a seventh service member death since the war began late last month. The total US death toll has risen to eight
• Across the Middle East, deaths have also been reported in Bahrain, the United Arab Emirates, and Lebanon. The Israeli military have continued to launch strikes inside Iran
• The UK chancellor says inflation is likely to rise in Britain as the country signals support for the release of oil reserves by G7 member countries to help counter rising oil prices
• French President Emmanuel Macron has been in Cyprus. The UK and other European nations have announced they are sending more military assets to Europe’s southern front
• And finally, players of Iran’s women’s national football team who are currently in Australia have been granted humanitarian visas to stay