THE honeymooning new Danish princess, Alexandra Manley from Hong Kong, and her husband Prince Joachim have vanished. The Danish press, which filled pages on the royal couple up to last weekend's wedding, have lost track of where they have gone. It appears the pair spent last Saturday night in the centre of Copenhagen at an apartment at Amalienborg Palace where the Prince used to live. The following morning, they joined wedding guests on a private jet to Paris. Prince Joachim's father, Henrik, has a large French family and the couple are believed to have sat among them for the flight from a air base outside Copenhagen. But there the trail goes cold. Suggestions are they flew on to the Philippines, where Prince Joachim originally proposed while he was working in Hong Kong. Or they may have boarded a flight to South America - Prince Joachim visited Brazil once and was so impressed many feel he may have decided to take his bride there on honeymoon.