The Tale of Aragorn and Arwen, an appendix to the main story, relates that Aragorn and Arwen had a son, Eldarion, and at least two unnamed daughters. One year after Aragorn's death, Arwen dies at the age of 2,901.
He died at the age of 210, after 122 years as king. The graves of the hobbits Merry and Pippin (who had died in Gondor 58 years earlier) were set beside his. He was succeeded on the throne by his son, Eldarion. Arwen, heartbroken by the loss of her husband, died shortly afterwards in Lothlórien.
However, he does not possess the ability to live forever, and he cannot choose to be mortal or immortal like Arwen, the half-Elf he loves and eventually claims as his wife. Because Aragorn is mortal and Arwen chose to remain in Gondor and become mortal, their son, Eldarion, is mortal as well, despite his Elven lineage.
Why didn't Arwen go to the Undying Lands after Aragorn died?
Only Elves and those deemed worthy (like Gandalf and Frodo) could sail to the Undying Lands. And by choosing to stay with Aragorn, she was forgoing her place on the boats and binding herself to the realm of men, thus becoming mortal.
In one of the texts in The Nature of Middle-Earth, Tolkien writes that Eldarion would have lived 120 years, and that his descendants would have lived longish life spans for normal humans (about 80–85 years) but not more than that.
I think it's probably fair to say that the Dunadain of both Arnor and Gondor considered themselves Numenoreans in exile. Aragorn himself told Arwen on his deathbed that he was “the last Numenorean”.
Her situation in the Lord of the Rings is a little bit different in that she's not tied to the One Ring at all. It's not sucking out her life force as it gets closer to its own doom. Rather, she's chosen mortality to stay on Middle Earth with Aragorn and has begun to feel the passing of time.
After Aragorn's death, Legolas made a ship in Ithilien and left Middle-earth to go over the sea. His strong friendship with Gimli prompted Legolas to invite him to accompany him to the Undying Lands; making him the first and only Dwarf to do so. He was never seen again in Middle-earth.
Legolas, for example, stayed in Middle-earth for many years, only choosing to go to the Undying Lands after Aragorn's death. Interestingly, Legolas also asked Gimli to accompany him because of their close friendship, making Gimli the only Dwarf to ever travel to Valinor.
So even though giving away this necklace was not Arwen giving away her immortality, it was symbolic of it. Did Arwen lose her immortality? The answer is yes.
Arwen was the youngest child of Elrond and Celebrían; her elder brothers were the twins Elladan and Elrohir. Through her father, she was the granddaughter of Eärendil the Mariner (the second of the Half-elves), great-granddaughter of Tuor of Gondolin, and therefore a direct descendant of the ancient House of Hador.
The royal blood that flows through the veins of the Dúnedain allows them to live three times as long as normal Men. Aragorn's heritage is the reason for his longevity, and he's not the only Lord of the Rings character to benefit from being one of the Dúnedain (and not, as some believe, part Elf).
Arwen was 2,778 years old in T.A. 3019 when she married Aragorn and became Queen of Gondor. She died, one year after Aragorn in F.A. 121. She was 2901 years old.
Isildur's father was Elendil, descended from Elros, founder of the Kingdom of Númenor. Since Elros was half-elven, from the marriage of Beren to the elf Lúthien, he and his descendants enjoyed much longer life than other men.
Legolas does not marry or have any children, based on the appendix of The Lord of the Rings. Regardless of who his mother was, Legolas is the last of his line. When he sails into the West at the beginning of the Fourth Age, he leaves no family members behind.
It is later mentioned that Tauriel is a talented warrior and was therefore made leader of the Mirkwood border guards. Legolas, the son of Mirkwood's Elven king Thranduil, is indicated to be attracted to her, but as she is a lowly Silvan Elf, she does not believe herself worthy of him.
No, Legolas was a Silvan Elf whereas Galadriel was Noldorin. It is possible that Legolas was related to some of the Elves of Lothlorien, but not to Galadriel.
Éowyn falls in love with Aragorn, but though he respects her, he does not return her feelings, as he is betrothed to the elf Arwen. As Aragorn points out, her duty is with her people; she has to shoulder the responsibility of ruling Rohan in Théoden's stead when the war-host of Rohan go to war.
After Aragorn's death, Arwen departed from Minas Tirith and returned to the abandoned Lothlórien. There she stayed for a time until she gave up her life in Fo. A. 121 at Cerin Amroth, and was buried there.
the Evenstar, a jewel which Arwen gives to her love Aragorn; invented for The Lord of the Rings film series directed by Peter Jackson. The Evenstar, a ship in Janny Wurts's Wars of Light and Shadow. Evenstar, a French company organizing cultural and musical events.
"He was Aragorn son of Arathorn, the nine and thirtieth heir in the right line from Isildur, and yet more like Elendil than any before him." Aragorn was a descendant of Elros Tar-Minyatur.
