The Court of Appeal will today begin hearing submissions in the application brought by Stephen Fray, the man convicted of attempting to hijack a Canada-bound aircraft in 2009.
In October 2009, Fray was sentenced to a total of 83 years' imprisonment.
However, he will only serve a maximum of 20 years because the sentences are to run at the same time.
But Fray is appealing against the conviction and sentencing.
Fray was convicted on nine counts of illegal possession of a firearm, shooting with intent, robbery with aggravation, assault at common law and breaches of the Airport Act.
However, he was only convicted on eight of the charges arising from the attempted hijacking of the CanJet aircraft at the Sangster International Airport.
The plane, which had more than 160 passengers on board at the time, was scheduled to depart for Cuba, en route to Halifax in Canada.