The only mention I can find in SGGK of Sir Lucan is in line 553:
Lancelot, and Lionel, and Lucan the Good.
There are other Arthurian sources (in particular Malory's Morte d'Arthur) which mention Sir Lucan as a Knight of the Round Table (and sometimes say that he was King Arthur's butler):- but in SGGK, Sir Lucan is just a name.
Sir Lucan is a knight in King Arthur's court in "Sir Gawain and the Green Knight." He plays a minor role in the poem and is one of the knights present at Camelot when the Green Knight issues his challenge. Sir Lucan is described as brave and loyal, but he is not a central character in the story.
The Green Knight's name is Sir Gawain. He is a character from Arthurian legend and appears in the medieval poem "Sir Gawain and the Green Knight."
Sir Gawain is from the legends of King Arthur. He fought and cut off the head of the Green Knight in 'Sir Gawain and the Green Knight'.
He is in bewildered and proud of Gawain.
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what happens when sir gawain meets the green knight on new years day
Sir Gawain uses a sword as his weapon in the book "Sir Gawain and the Green Knight."
In "Sir Gawain and the Green Knight," Sir Gawain's guide is the porter of the castle where he seeks shelter. The porter leads Sir Gawain to meet the lord of the castle and facilitates his interactions with the other characters in the story.
what happens when sir gawain meets the green knight on new years day
The first time the Green Knight swings his axe, Sir Gawain flinches but the Green Knight stops before hurting him. Instead, he is testing Sir Gawain's courage and honor.
In "Sir Gawain and the Green Knight," it is the Green Knight who declares Gawain purged of his sins after Gawain confesses his wrongdoing and accepts his penance. The Green Knight acknowledges Gawain's honesty and humility, forgiving him for his betrayal.
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The cast of Sir Gawain and the Green Knight - 2009 includes: Simon Armitage as Himself - Presenter