User blog:BEJT/Asgardian Ageing Calculations

Introduction
It is known that Asgardians live much longer than humans. In sites like this one, the Marvel database, and question and answer forums, it is said that Asgardians age at a normal human rate until they reach adulthood, and then begin to age very slowly. So, can we estimate an exact age when they start ageing slower? And the rough rate of ageing they then have, compared to humans?

Lifespans
In the opening of Thor: The Dark World, straight after The Avengers, Odin says, "We are not gods. We are born, we live, we die. Just as humans do," to which Loki replies, "... Give or take 5000 years." From this, it can be taken that Asgardians live approximately 5000 years longer than humans.

I'm not entirely sure what the average human lifespan was in May 2012, as there are different pieces of information. For now, I have used the result of 71.5 years from here, here, and here, and therefore estimating about 71.4 years around May 2012. If the actual answer is different, I can plug the new numbers in. So, the average lifespan of an Asgardian is approximately 5000 years + 71.4 years = 5071.4 years.

When I refer to "human years" and "Asgardian years" here, I am not referring to Asgard's orbit (if it even has one), but rather the relativity to human lifespans. For example, "2 in dog years is 14 in human years." So, 5071.4 in Asgardian years ≈ 71.4 in human years.

Therefore, labelling the age they slow down at as age x years, and the multiplier of [difference in human years] ÷ [difference in Asgardian years] when past x years as y, then past x:
 * [age in human years] - x ≈ ([age in Asgardian years] - x) × y
 * so [age in human years] ≈ x + ([age in Asgardian years] - x) × y
 * and ([age in human years] - x) ÷ y ≈ [age in Asgardian years] - x
 * so [age in Asgardian years] ≈ x + ([age in human years] - x) ÷ y

y, the Multiplier of Differences in Years
Now, to find y: y will be based on Thor and Loki's ages, as they are the only Asgardians for whom we have a good idea of date of birth. This will then be compared against Chris Hemsworth and Tom Hiddleston's ages when they filmed each film they star in (not including the Doctor Strange credits scene, as it is part of Thor: Ragnarok). Loki is not actually Asgardian, but a Frost Giant, however his ageing has aroused no questions among the Asgardians - he clearly ages at an unnoticeably close rate to Asgardians. Although, because Thor is the only one who is true Asgardian, his stats will have double the weight of Loki's when averaging.

When was Loki born for a start? On May 30, 2010, in Thor, we flash back to "965 A.D." By my usual rules of assigning an arbitrary date to just a given year, ((May 30, 965 A.D.) × 1 + (July 2, 965 A.D.) × 2) ÷ 3 = June 21, 965 A.D. as the date for the "965 A.D." moment. With the Frost Giants arriving on June 21, 965 A.D. then, it would take the Asgardians around 5 days to arrive and fight back against the Giants' establishment. Therefore they arrive around June 26, 965 A.D. They fight back, pushing the Frost Giants back to Jotunheim by June 27, 965 A.D. There they find Loki, left out to die, only around a day old. Loki was born approximately on June 26, 965 A.D. (965.4836 in decimals).

When was Thor born, then? Thor is the older brother, because in Thor, Odin proclaims Thor to be his "first-born". While, yes, Loki is technically not his "born" at all, this is at a point in the film where he is still pretending Loki is his biological son, and thus if Loki were older, he would have called Thor his second-born - but no, his first. This also makes sense as to why Thor would be entrusted the throne, given that he is older and therefore first in line. Assuming Asgardians have a 9-month gestation period (as up until early adulthood, they mature at the same rate as humans, so this would make sense), realistically, the minimum gap in age between the two brothers would have to be at least 13 months, for it to not raise suspicion among the brothers themselves, nor among Odin's subjects. The brothers are, however, very close in age. The actors playing them as young boys, at a point when the characters' ageing is still normal, were very close in age (within a couple of months, see more later), so, Thor would've been born about 13 months earlier. Again, using my usual months rule, ([May 26, 964 A.D.] × 2 + [May 16, 964 A.D.] × 1) ÷ 3 = May 23, 964 A.D. Thor was born approximately on May 23, 964 A.D. (964.3921 in decimals).

Now, how old were the actors when they shot the films? Thor was filmed from January 11, 2010 to May 6, 2010. The middle of the shoot was therefore March 9.5, 2010. Therefore, in the middle of the filming for Thor: The Avengers was filmed from April 25, 2011 to August 31, 2011. The middle of the shoot was therefore June 28, 2011. Therefore, in the middle of the filming for The Avengers: Thor: The Dark World was filmed from September 10, 2012 to December 14, 2012. The middle of the shoot was therefore October 27.5, 2012. Therefore, in the middle of the filming for Thor: The Dark World: Avengers: Age of Ultron was filmed from February 11, 2014 to August 6, 2014. The middle of the shoot was therefore May 10, 2014. Therefore, in the middle of the filming for Thor: The Dark World: Thor: Ragnarok was filmed from July 4, 2016 to October 28, 2016. The middle of the shoot was therefore August 31, 2016. Therefore, in the middle of the filming for Thor: Ragnarok:
 * Chris Hemsworth was born on August 11, 1983.
 * Tom Hiddleston was born on February 9, 1981.
 * Chris Hemsworth was 9707.5 days old.
 * Tom Hiddleston was 10,620.5 days old.
 * Chris Hemsworth was 10,183 days old.
 * Tom Hiddleston was 11,096 days old.
 * Chris Hemsworth was 10,670.5 days old.
 * Tom Hiddleston was 11,583.5 days old.
 * Chris Hemsworth was 11,230 days old.
 * Chris Hemsworth was 12,074 days old.
 * Tom Hiddleston was 12,987 days old.

When finding the weighted average age of a character, I always weigh each value by 1 ÷ (given age in years). This is because, the younger a person is, the less ambiguous their age is. If a baby character were played by a 2-month-old, the character really has to be within a month either way. If a character is played by a 5-year-old, the character really has to be within a year either way. If a character is played by a 30-year-old, they could be within 5 years either way really, and so on. So the younger the age, the more weight it has (ie. (1 ÷ 3) is larger than (1 ÷ 12)), and I find that using this reciprocal system works out nicely for the curve of weight based on leniency. Here we are not dealing with actors at particularly different ages, but all the same, I keep up the weighing average. So, ([first age in years] × (1 ÷ [first age in years]) + [second age in years] × (1 ÷ [second age in years]) + [third age in years] × (1 ÷ [third age in years])...) ÷ ((1 ÷ [first age in years] + (1 ÷ [second age in years]) + (1 ÷ [third age in years])...). You might notice that any [age in years] × (1 ÷ [age in years]) = 1. So really, the formula is: [number of age values] ÷ ((1 ÷ [first age in years]) + (1 ÷ [second age in years]) + (1 ÷ [third age in years])...)
 * So, for Chris Hemsworth's weighted average age, at the average date his films are set (to be calculated later):
 * 5 ÷ ((1 ÷ (9707.5 ÷ 365.25)) + (1 ÷ (10,183 ÷ 365.25)) + (1 ÷ (10,670.5 ÷ 365.25)) + (1 ÷ (11,230 ÷ 365.25)) + (1 ÷ (12,074 ÷ 365.25)))
 * = 29.32560.
 * And for Tom Hiddleston's weighted average age, at the average date his films are set (to be calculated later):
 * 4 ÷ ((1 ÷ (10,620.5 ÷ 365.25)) + (1 ÷ (11,096 ÷ 365.25)) + (1 ÷ (11,583.5 ÷ 365.25)) + (1 ÷ (12,987 ÷ 365.25)))
 * = 31.50487.

Usually this is all to find the weighted average to find a date of birth for a character, but because they age like humans, but this is not the case here - which is why I found a weighted average age rather than DoB. But with this weighted average age needs a date averaged with the same weights to assign the point of this age to. So, we take the dates the middle of the films in question were set and find the weighted average with the same values.
 * The middle of Thor is June 1, 2010.
 * The middle of The Avengers is May 4, 2012.
 * The middle of Thor: The Dark World is November 13, 2013.
 * The middle of Avengers: Age of Ultron is May 4, 2015.
 * The middle of Thor: Ragnarok is roughly June 10, 2017.

The average date of Chris' films is: ([June 1, 2010] × (1 ÷ (9707.5 ÷ 365.25)) + [May 4, 2012] × (1 ÷ (10,183 ÷ 365.25)) + [November 13, 2013] × (1 ÷ (10,670.5 ÷ 365.25)) + [May 4, 2015] × (1 ÷ (11,230 ÷ 365.25)) + [June 10, 2017] × (1 ÷ (12,074 ÷ 365.25))) ÷ ((1 ÷ (9707.5 ÷ 365.25)) + (1 ÷ (10,183 ÷ 365.25)) + (1 ÷ (10,670.5 ÷ 365.25)) + (1 ÷ (11,230 ÷ 365.25)) + (1 ÷ (12,074 ÷ 365.25))) = September 12.31445, 2013 (2013.6981).

The average date of Tom's films is: ([June 1, 2010] × (1 ÷ (10,620.5 ÷ 365.25)) + [May 4, 2012] × (1 ÷ (11,096 ÷ 365.25)) + [November 13, 2013] × (1 ÷ (11,583.5 ÷ 365.25)) + [June 10, 2017] × (1 ÷ (12,987 ÷ 365.25))) ÷ ((1 ÷ (10,620.5 ÷ 365.25)) + (1 ÷ (11,096 ÷ 365.25)) + (1 ÷ (11,583.5 ÷ 365.25)) + (1 ÷ (12,987 ÷ 365.25))) = April 29.83663, 2013 (2013.3269)

You can't divide their years in age by their human years (actors' ages) because of the x years before their ageing slowed down - it is not just direct relationship. But you CAN look at the years left before life expectancy (the 71.4 human ≈ 5071.4 Asgardian), because it's a point where we know what is roughly equal. To get what you multiply their Asgardian years by to get the human years, you need to find the other point we can know to be roughly equal: the two characters' averaged age in human years equalling their actual age, Asgardian years, at their averaged date. And then the coefficient can be found between these two points. So: [years between human averaged age of character and the human life expectancy] ÷ [years between Asgardian age (actual no. of years alive) of character and the Asgardian life expectancy] Therefore: ([average human lifespan in May 2012] - [character's average human age in the films]) ÷ ([character's date of birth + [Asgardian lifespan, which is 5000 + [average human lifespan in May 2012]]] - [average date of character's films]) And because we're using a weighted average of both Thor and Loki, with a weight of 2:1, this is the formula: ((([average human lifespan in May 2012] - [Thor's average human age in the films]) ÷ ([Thor's date of birth + [5000 + [average human lifespan in May 2012]]] - [average date of Thor's films])) × 2 + (([average human lifespan in May 2012] - [Loki's average human age in the films]) ÷ ([Loki's date of birth + [5000 + [average human lifespan in May 2012]]) - [average date of Loki's films])) × 1) ÷ 3 Which is: ((([71.4] - [29.32560]) ÷ ([964.3921 + [5000 + [71.4]]] - [2013.6981])) × 2 + (([71] - [31.50487]) ÷ ([965.483 + [5000 + [71.4]]) - [2013.3269])) × 1) ÷ 3 = 0.01024587176. y = 0.01024587176.

x, the Age at Which Ageing Slows Down
Now, to find x: Remember: [age in human years] ≈ x + ([age in Asgardian years] - x) × y Therefore, for Thor:
 * [29.32560] ≈ x + ([2013.6981 - 964.3921] - x) × 0.01024587176
 * 29.32560 ≈ x + [2013.6981 - 964.3921] × 0.01024587176 - x × 0.01024587176
 * 29.32560 ≈ 1 × x + 1049.306 × 0.01024587176 - 0.01024587176 × x
 * 29.32560 ≈ (1 - 0.01024587176) × x + 10.75105
 * 18.57455 ≈ 0.98975x
 * 18.76691 ≈ x

For Loki:
 * [31.50487] ≈ x + ([2013.3269 - 965.483] - x) × 0.01024587176
 * 31.50487 ≈ x + [2013.3269 - 965.483] × 0.01024587176 - x × 0.01024587176
 * 31.50487 ≈ 1 × x + 1047.8439 × 0.01024587176 - 0.01024587176 × x
 * 31.50487 ≈ (1 - 0.01024587176) × x + 10.73607
 * 20.7688 ≈ 0.98975x
 * 20.98388 ≈ x

Using the same (1 ÷ age) weights, as well as the 2:1 weight for Thor to Loki, to find the final value of x: (18.76691 × ((1 ÷ 29.32560) × 2) + 20.98388 × ((1 ÷ 30.35202) × 1)) ÷ (((1 ÷ 29.32560) × 2) + ((1 ÷ 30.35202) × 1)) = 19.48905. x = 19.48905.

So, Asgardians age normally to the age of 19.48905 then age at 0.01024587176 speed. Age in human lifespan-based years = (([Age in actual years] - 19.48905) × 0.01024587176) + 19.48905 Age in actual years = (([Age in human lifespan-based years] - 19.48905) ÷ 0.01024587176) + 19.48905

Working Out Other Asgardians
This means you can now work back and find the dates of birth for other Asgardians.

The year - 1.1 is - 2 and then 0.9 through that year. Except there's no year 0 in the B.C./A.D. system, so it's actually a year ahead. So add 2 to the number before the decimal and then take 1 - the decimal for the amount through the year, which you can then convert into a date.

Bor
To be completed.

Odin
Anthony Hopkins was born on December 31, 1937. The middle of the Thor shoot was March 9.5, 2010. Therefore, in the middle of the filming for Thor, Anthony Hopkins was 26,366.5 days old. The middle of the Thor: The Dark World shoot was October 27.5, 2012. Therefore, in the middle of the filming for Thor: The Dark World, Anthony Hopkins was 27,694.5 days old. The middle of the Thor: Ragnarok shoot was August 31, 2016. Therefore, in the middle of filming for Thor: Ragnarok, Anthony Hopkins was 28,733 days old. 3 ÷ ((1 ÷ (26,366.5 ÷ 365.25)) + (1 ÷ (27,694.5 ÷ 365.25)) + (1 ÷ (28,733 ÷ 365.25))) = 75.46561.

The middle of Thor is June 1, 2010. The middle of Thor: The Dark World is November 13, 2013. The middle of Thor: Ragnarok is June 10, 2017. ([June 1, 2010] × (1 ÷ (26,366.5 ÷ 365.25)) + [November 13, 2013] × (1 ÷ (27,694.5 ÷ 365.25)) + [June 10, 2017] × (1 ÷ (28,733 ÷ 365.25))) ÷ ((1 ÷ (26,366.5 ÷ 365.25)) + (1 ÷ (27,694.5 ÷ 365.25)) + (1 ÷ (28,733 ÷ 365.25))) = October 21.87839, 2013 (2013.8065).

Age in actual years = (([Age in human lifespan-based years] - 19.48905) ÷ 0.01024587176) + 19.48905 So, (([75.46561] - 19.48905) ÷ 0.01024587176) + 19.48905 = 5482.81724. Therefore 5482.8172 on 2013.8065. 2013.8065 - 5482.8172 = - 3469.0107. - 3469.0107 means 1 - 0.0107 through year 3469 + 2 B.C. 0.9893 through 3471 B.C. Although the months system didn't exist that far back, this would give a birthday of roughly December 28, 3471 B.C.

Odin was born around late 3471 B.C. (December 28th by modern dating systems). This makes him:
 * 482.9, or 24.2 in human years, during the Thor: The Dark World flashbacks.
 * 2752.7, or 47.5 in human years, when Hela was born.
 * 4433.4, or 64.7 in human years, when Thor was born.
 * 4434.5, or 64.7 in human years, when Loki was born.
 * 4444.5, or 64.8 in human years, in the second Thor flashback.
 * 5479.4, or 75.4 in human years, in Thor.
 * 5481.4, or 75.5 in human years, in The Avengers.
 * 5482.9, or 75.5 in human years, in Thor: The Dark World.
 * 5486.5, or 75.5 in human years, in Thor: Ragnarok.

Frigga
To be completed.

Elliot Randolph
To be completed.

==Volstagg= To be completed.

Hela
Cate Blanchett was born on May 14, 1969. The middle of the Thor: Ragnarok shoot was August 31, 2016. Therefore, in the middle of filming for Thor: Ragnarok, Cate Blanchett was 17,276 days old. 17,276 ÷ 365.25 = 47.29911.

The middle of Thor: Ragnarok is June 10, 2017. June 10, 2017 (2017.4397).

Age in actual years = (([Age in human lifespan-based years] - 19.48905) ÷ 0.01024587176) + 19.48905 So, (([47.29911] - 19.48905) ÷ 0.01024587176) + 19.48905 = 2733.75882. Therefore 2733.75882 on 2017.4397. 2017.4397 - 2733.75882 = - 716.31912. - 716.31912 means 1 - 0.31912 through year 716 + 2 B.C. 0.68088 through 718 B.C. Although the months system didn't exist that far back, this would give a birthday of roughly September 6, 718 B.C.

Hela was born around mid-to-late 718 B.C. (September 6th by modern dating systems). This makes her:
 * 1680.7, or 36.5 in human years, when Thor was born.
 * 1681.8, or 36.5 in human years, when Loki was born.
 * 2733.8, or 47.3 in human years, in Thor: Ragnarok.

Skurge
To be completed.

Heimdall
To be completed.

Hogun
To be completed.

Fandral
To be completed.

Thor
As established above, 964.3921. This is May 23, 964 A.D.

Thor was born around May 23, 964 A.D. This makes him:
 * 1.1 when Loki was born.
 * 11.1 in the second Thor flashback.
 * 1046.0, or 30.0 in human years, in Thor.
 * 1047.9, or 30.0 in human years, in The Avengers.
 * 1049.5, or 30.0 in human years, in Thor: The Dark World.
 * 1050.9, or 30.1 in human years, in Avengers: Age of Ultron.
 * 1053.0, or 30.1 in human years, in Thor: Ragnarok.

Loki
As established above, 965.4836. This is June 26, 965 A.D.

Thor was born around June 26, 965 A.D. This makes him:
 * 10.0 in the second Thor flashback.
 * 1044.9, or 30.0 in human years, in Thor.
 * 1046.9, or 30.0 in human years, in The Avengers.
 * 1048.4, or 30.0 in human years, in Thor: The Dark World.
 * 1052.0, or 30.1 in human years, in Thor: Ragnarok.

Sif
To be completed.

Lorelei
To be completed.

Extra
Finally, I'd like to place the scene with Loki and Thor as children. This isn't to do with Asgardian ageing really, as it is during their human-speed ageing, but it felt appropriate to still have it here. Dakota Goyo, who plays young Thor, was born on August 22, 1999. Ted Allpress, who plays young Loki, was: The middle of filming for Thor was March 9.5, 2010. Therefore: ([December 9.5, 974 A.D.] × (1 ÷ (3852.5 ÷ 365.25)) + [December 10, 975 A.D.] × (1 ÷ (3916.5 ÷ 365.25))) ÷ ((1 ÷ (3852.5 ÷ 365.25)) + (1 ÷ (3916.5 ÷ 365.25))) = July 10, 975 A.D.
 * 9 on May 21, 2009, meaning he was born between May 22, 1999 and May 21, 2000.
 * Born in 1999, meaning he was born between January 1, 1999 and December 31, 1999.
 * Likely still 13 on June 18, 2013, suggesting he was born between June 19, 1999 and June 18, 2000.
 * So, Ted was born June 19, 1999 and December 31, 1999. This means he was born around September 24.5, 1999.
 * Dakota was around 3852.5 days old. This would place the scene around May 23, 964 A.D. + 3852.5 days = December 9.5, 974 A.D.
 * Ted was around 3819 days old. This would place the scene around June 26, 965 A.D. + 3819 days = December 10, 975 A.D. If he were born as early as possible, he would be around 3916.5 days old.