Denmark king visits Greenland
Trump's threats to seize the vast mineral-rich Arctic island by force if necessary have ratcheted up tensions between Washington and EU and NATO member Denmark.
The visit was announced in late January, when the 57-year-old Danish monarch expressed his solidarity with the island, which is home to 57,000 people.
Frederik is due to be in the capital Nuuk on Wednesday, in Maniitsoq, some 150 kilometres (90 miles) north of Nuuk, on Thursday, and in Kangerlussuaq, farther north, on Friday, to visit the Danish troops' Arctic training centre.