The Hwasong-12 intermediate-range missile that Pyongyang unleashed yesterday represented a major escalation of tensions over its weapons programmes.
In recent weeks it has threatened to send a salvo of missiles towards the US territory of Guam, while President Donald Trump has warned of raining "fire and fury" on the North.
After the latest launch Trump said that "all options" were on the table, reviving his implied threat of pre-emptive US military action just days after congratulating himself that Kim appeared to be "starting to respect us".
Both the North's key ally China and Russia, which also has ties to it, backed the US-drafted declaration, but it will not immediately lead to new or tightened sanctions.
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The Rodong Sinmun newspaper, mouthpiece of the North's ruling party, today carried more than 20 pictures of the launch near Pyongyang. One showed Kim smiling broadly at a desk with a map of the Northwest Pacific, surrounded by aides.
South Korea's military said yesterday that it had travelled around 2,700 kilometres (1,700 miles) and reached a maximum altitude of 550 kilometres.
The official Korean Central News Agency (KCNA) cited Kim as saying that "more ballistic rocket launching drills with the Pacific as a target in the future" were necessary.
Yesterday's launch was a "meaningful prelude to containing Guam, advanced base of invasion", he said, and a "curtain-raiser" for the North's "resolute countermeasures" against ongoing US-South Korean military exercises which the North regards as a rehearsal for invasion.
Independent analysts posted images online suggesting that Kim's map showed an intended flight path of 3,200 kilometres, implying that the missile may have fallen 500 kilometres short. A South Korean defence official told AFP they were still analysing the North's images.
Yesterday's missile overflight triggered consternation in world capitals and on the ground, with sirens blaring out and text message alerts in Japan warning people to take cover.
At the Security Council emergency meeting US ambassador Nikki Haley warned that "enough is enough" and that tough action had to be taken.
"It's unacceptable," Haley said. "They have violated every single UN Security Council resolution that we've had, and so I think something serious has to happen."
But despite Washington's rhetoric, US officials privately echo the warning by Trump's now former chief strategist Steve Bannon - that a pre-emptive strike against the North is impossible given its capacity to inflict massive retaliation on the South.
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