Aragorn is not half Elf, although he is a descendant of Elros, who is half Elf (and the brother of Elrond, the half-Elf who raised him), which explains why Aragorn's life span is unusually long.
So, adding it all together, the estimated number of generations between Elros and Aragorn is 65. If I'm doing my math right (and I very well may not be, please let me know if that's so), this would make Aragorn approximately 0.0078125% elvish.
He's half-elven and through Arwen (and also Aragorn) he is a descendant of Beren and Luthien. So will he like his mother (and grandfathers) be able to make the choice to be mortal (man) or immortal (elven)?
The Dúnedain were descended from the Edain, the Elf-friends: the few tribes of Men of the First Age who sided with the Noldorin Elves in Beleriand. The original leader of the Edain was Bëor the Old, a vassal of the Elf lord Finrod. His people settled in Eldar lands.
Elrond Half-elven is a fictional character in J. R. R. Tolkien's Middle-earth legendarium. Both of his parents, Eärendil and Elwing, were half-elven, having both Men and Elves as ancestors.
Arwen is one of the half-elven who lived during the Third Age; her father was Elrond half-elven, lord of the Elvish sanctuary of Rivendell, while her mother was the Elf Celebrian, daughter of the Elf-queen Galadriel, ruler of Lothlórien.
Technically, Arwen is Aragorn's aunt, but it's not as weird as it sounds (at least within the context of Middle Earth). The romance and marriage of Arwen and Aragorn are unique in a variety of ways.
A descendant of the rulers of Gondor and Arnor, Aragorn is considered the lost heir of Gondor. When he was just two years old, his father was killed by Orcs and his mother sent him to live among the Elves in Rivendell. He was raised by Elrond, the half-Elf Lord of Rivendell, and renamed Estel.
Legolas was the son of Thranduil, King of the Woodland Realm of Northern Mirkwood, who appeared as "the Elvenking" in The Hobbit. Thranduil, one of the Sindar or "Grey Elves", ruled over the Silvan Elves or "Wood-elves" of Mirkwood.
In it, she talks a lot about how Legolas, although he is Sindar (High-Elven), identifies as a Wood-Elf, to the point of acting more like a subject of Thranduil than his son.
Elrond Half-elven was born in the Havens of Sirion in Beleriand, late in the First Age. His father was Eärendil, a great half-elven mariner who carried a star across the sky at the end of the First Age. Elrond's mother was Elwing, also known as Elwing the White, also half-elven.
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.
Frodo Baggins, fictional character, a hobbit (one of a race of mythical beings who are characterized as small in stature, good-natured, and inordinately fond of creature comforts) and the hero of the three-part novel The Lord of the Rings (1954–55) by J.R.R. Tolkien.
' Thus, the mother of Arwen is revealed to be Celebrian, Galadriel and Celeborn's daughter, making Arwen their granddaughter.
They are both elvish nobles, as Legolas is the son of King Thranduil and Arwen is the daughter of Elrond.
The elves, or the Eldar, are immortal in the sense that they cannot die from illness or old age, however they can be slain. If they do die, they are summoned to the Halls of Mandos on Valinor, where they may eventually be returned to a physical form, although only in Valinor.
Because Arwen is Elrond's daughter and also Half-Elf, she too has the choice to be a mortal woman or an immortal Elf. In Arwen's mind, there is nothing that can separate her from Aragorn, as she would rather die happy with him than regret her decision to leave him for all of eternity.
"Frodo saw her whom few mortals had yet seen; Arwen, daughter of Elrond, in whom it was said that the likeness of Lúthien had come on earth again; and she was called Undómiel, for she was the Evenstar of her people." Arwen Undómiel, often called Arwen Evenstar, was one of the half-elven, married to Aragorn II.
In the context of the movies, I believe what Jackson was going for is that Arwen sacrificed her immortality for Frodo in order to save him after he was stabbed by the morgul blade at Weathertop. As a result, she was hence intimately tied to the fate of the Ring through Frodo. As the Ring grew in power, she weakened.
In the year 121 of the Fourth Age, after Aragorn's death, Arwen died of a broken heart at Cerin Amroth in Lórien, and was buried there one year after the death of Aragorn, to whom she had been wedded for 122 years. She was 2901 years old.
With the destruction of Sauron's One Ring in the last years of the Third Age, the Elven-rings also lost their power, including the Three. The Keepers of those Three Rings left Middle-earth together on the White Ship: Galadriel, Elrond and Gandalf, the Keepers of the Three Rings.
Arwen was her granddaughter
Galadriel and Celeborn had a daughter named Celebrian, who married Elrond and became the mother of Arwen (as well as her brothers, Elladan and Elrohir).