As they sat amongst their fellow passengers, the couple were the image of normality as they worked on handheld portable devices and talked to a fellow traveller.
When Felipe took over the office of the king, one of the biggest changes was the simplest. On his desk he installed a laptop, something King Juan Carlos did not use.
Since their inauguration Felipe and Letizia have attended several events together and separately, and at the end of June made their first overseas trip to visit the Pope.
The Vatican also recently revealed that the Argentine-born cardinal will make a trip to Spain in 2015, including a stop in Santiago de Compostela to commemorate the pilgrimage of Saint Francis of Assisi.
Newly crowned Felipe and Letizia, meanwhile, are currently in Portugal and will also visit Morocco in the upcoming weeks on an official state visit.