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The Length of the Vulcan Year

MAGolding

Fleet Captain
Fleet Captain
What is the length of the Vulcan year?

Nobody knows, as far as I know.

However, Vulcan has a sun according to "Operation - Annihlate!"

SPOCK: An hereditary trait, Captain. The brightness of the Vulcan sun has caused the development of an inner eyelid, which acts as a shield against high-intensity light. Totally instinctive, Doctor. We tend to ignore it, as you ignore your own appendix.

A sun is an equivalent of Earth's sun, a star close enough to a planet to illuminate and heat it, and usually close enough to appear as a visible disc in the sky of the planet instead of appearing as a mere dimensionless dot in the sky of the planet.

Therefore, Vulcan, being close enough to a star to be warmed by it, must oribt around at least one star, and possibly orbit around two or more stars which are much closer together than the distance between them and Vulcan. Vulcan can either orbit directly around its star(s) or else orbit around some object which orbits around that star, an object like another planet, a brown dwarf, or possibly a star too dim to give Vulcan as much heat and light as the more distance star that is Vulcan's sun.

Since Vulcan must orbit around at least one star, it has an orbital period, which would be a year of Vulcan. Though of course it is possible that the length of the period called a year in a Vulcan calendar could be significantley longer or shorter than its orbital period for some reason.

There is very little evidence of the Vulcan clanendar and time keepling system. In many Star Trek productions Vulcans mentioned years, months, or days, but it is unknown whether they mean Vulcan time units or are using Earth time units, or hypothetical Starfleet, hypothetical Federation, or hypothetical Galactic Standard time units. And it is unkown whether when Vulcans mention time spans in Vulcan time units those are translated into Earth time units for the benefit of the audience.

In Star Trek VI: The Undiscovered Country Captain Sulu of the Excelsior is mkaing a long entry when the klingon moon Praxis explodes.

Stardate 9521.6, Captain's log, U.S.S. Excelsior. Hikaru Sulu commanding. After three years I've concluded my first assignment as master of this vessel, cataloguing gaseous planetary anomalies in the Beta Quadrant. We're heading home under full impulse power. I am pleased to report that ship and crew have functioned well.

In a later meeting at Starfleeet Headquarters Spock says.

SPOCK: Good morning. Two months ago a Federation starship monitored an explosion on the Klingon moon Praxis. We believe it was caused by over-mining and insufficient safety precautions. The moon's decimation means a deadly pollution of their ozone. They will have depleted their supply of oxygen in approximately fifty Earth years.

Two Earth months l seem like areasonable time span for Spock to have initiated diplomatic discussions with the Klingons. During this meeting Kirk also says:

KIRK: Let them die! Has it occurred to you that this crew is due to stand down in three months? We've done our bit for King and Country. You should have trusted me.

Sometime after the meeting Kirk makes a log entry:

Captain's log, stardate 9522.6. I've never trusted Klingons, and I never will.

So apparently two months have passed and the stardate got only 1.0 stardate units higher. This indicates that in that era there is aratio of about 0.5 stardate units per month.

After some adventures which may take days or weeks or maybe months the last line in the movie is:

Captain's log, U.S.S. Enterprise, stardate 9529.1. This is the final cruise of the Starship Enterprise under my command. This ship and her history will shortly become the care of another crew. To them and their posterity will we commit our future. They will continue the voyages we have begun and journey to all the undiscovered countries, boldly going where no man, where no one, ...has gone before.

So this is about 7.5 stardate units after the beginning of the movie and about 6.5 stardate units after Kir's first log. At about 0.5 stardate units per month, that is about 13 months after Kirk's earlier log and15 months after Sulu's log at the beginning of the movie. But fi the movie takes less than the three months until Kirk and his senior staff are due to reture, then there would be less than four months in about 6.5 stadate units, or less than 0.6153 (zero point six one five three) months per stardate unit. At a ratio of 0.6153 months per stardate unit, one stardate unit would equal about 1.625 (one point six two five) months. So that fits fairly well.

In the Voyager episode "Flashback", there are flashbacks to events on the starship Excelsior during Star Trek VI: The Undiscovered Country.

JANEWAY: There must be some reason why your mind brought us here. Maybe this memory is connected to the girl in some way. How long ago is this?
TUVOK: Stardate 9521, approximately eighty years ago.
JANEWAY: Who were you fighting?
TUVOK: The Klingons.
JANEWAY: Klingons. Before you collapsed in Engineering, you thought we were approaching Klingon space. Why are you fighting Klingons?
TUVOK: This battle was precipitated by an incident that took place three days earlier.

I thought that Tuvok said that two days had passed since Excelsior detected the explosion of Praxis. If the stardate is still 9521, days after Sulu said it was stardate 9521.6, there must be fewer than 0.4 stardate units in the two or three days since the explosion of Praxis and thus the ratio of days per stardate unit must be 0.1333 to 0.2, or lower.

If three days (two to four) equal two months (one to three) then there should be about 0.6666 to 4 days in a month. thus it is possible that Spock and Tuvok used tiem units from different planets in their statements. Possibly there are about 0.6666 to 4 Vulcan days in an Earth month, making an Vulcan day equal about t7.5 to 45 Earth days. But if Spock mentioned some other type of months instead of Earth months in star Trek VI: The Undiscovered Country the rleatioon ship between Vulcan days and Earth days would be unkown.

Or posssibly Spack and Tuvok used the same time unit which was translated for Earth audiences as "month" in Star Trek VI: The Undiscovered Country and as "day" in "Flashback".

For example, if Vulcan was a planet sized exomoon of a giant exoplanet, tidal locking would slow down the roatation of Vulcan until Vulcan was tidally locked to the planet.so that one side of Vulcan always faced the giant planet and the other side always faced away from it. Thus the "day" on Vulcan, the period between two successive sunrises, would equal the month Vulcan, the length of Vuclan's orrbit around its planet.

Since the orbital period of a planet sized exomoon around its griant exoplanet might last between about 1.5 to 15 Earth days, it would be possible for Vulcan to have a day/month between about 7.5 and 45 Earth days long.

But as Timo pointed out in another thread, the Vulcan month of Tasmeen has at least twenty days, so Vulcan can't have month and a day of the same length.

Fans have often wondered about the large orbs seen in the Vulcan sky in various productions. Any particular orb seen in the Vulcan sky either was gravitationally bound to Vulcan or was not. If an world was gravitationally bound to Vulcan, it could be a moon of Vulcan, or the other planet in a double planet with Vulcan, or else it could be the planet which Vulcan orbited as a moon.

In the TOS episode "The Man Trap" Uhura and Spock have a discussion:

UHURA: No, you have an answer. I'm an illogical woman who's beginning to feel too much a part of that communications console. Why don't you tell me I'm an attractive young lady, or ask me if I've ever been in love? Tell me how your planet Vulcan looks on a lazy evening when the moon is full.
SPOCK: Vulcan has no moon, Miss Uhura.
UHURA: I'm not surprised, Mister Spock.

So that seems to make it impossible for any of the orbs seen in the Vulcan sky to be a moon of Vulcan.

If Vulcan and one of the orbs seen in the sky are sister planets of roughly similar size and mass forming a double planet, Vulcan would probably be tidally locked to the sister planet. Thus the Vulcan day would equal the length of one complete orbital peirod of the two planets around their common center of mass.

And it is pssible, though unlikely, that the two planets would be close enough that their orbital period, and thus the day of Vulcan, would be about one to two Earth days long.

What about when two orbs are seen in the Vulcan sky at the same time? The smaller orb could be a moon of the other planet in the double planet. It would be rather improbable, though not impossible, for one of the planets in a double planet to have a moon in a stable orbit.

Or maybe the smaller orb could be a moon that orbits both planets in the double planet at several times the distance that they orbit around their common center. Just a a triple star often has two stars that orbit each other closely and a third star which orbits farther away.

And the "planet" Vulcan could actually be a giant, planet sized moon of a giant planet. Thus the other orbs seen the Vulcan sky could be other large moons of the giant planet. One or more might obit the giant planet farther out than Vulcan did, but at least one would orbit the giant planet closer than Vulcan did, since most editions of Star Trek: The Motion Picture have a scene where a smaller astronomical object passes in front of a larger astronomical orbject.. The larger astronomical object would be the giant planet which Vulcan orbits and the smaller astronomical object would presumably be another moon orbiting closer to the giant planet.

There is one other possibility for the smaller astronomical object passing in front of the larger one. This little script describes what it might be. The is at Vulcan for resupply, and Spock is down on Vulcan on business one night when Uhura accosts him"

Uhura: "Spock! There you are!"

Spock: Yes. You seem upset, Lieutenant."

Uhura: "Damn right I'm upset! We've been at Vuclan for a couple of days, and I didn't bother to come down with my boyfriend because I thought Vulcan wasn't a romantic place to visit, even since you lied and said that Vulcan has no moon!

spock: Vulcan has no moon, Miss Uhura.

Uhura (pointing at the sky): What's that? I could have enjoyed a romantic evening with a friend, but you said that Vulcan has no moon!

Spock: That is T'Khut. T'khut is not a moon, it is a giant planet that Vulcan orbits, thus making Vulcan a moon.

Uhura: Arggh! Why are you so pedantic? I could have enjoyed a romantic night just as well by planet light as by moon light. So what is that smaller object, another moon of T'Khut?

Spock: No. TMhut is not a moon, it orbits around Vulcan.

Uhura: So T'Mhut is a moon of Vulcan! You lied.

Spock: According to planetary science definitions, any object large enough to have a spheriodal shape counts as a planet. Thus "Tkhut, Vulcan, and T'Mhut are all planets according to Planetary science. According to astronomical definitions, T'Khut is a planet because it orbits a star, Vulcan is a moon because it orbits the planet T'Khut, and T'Mhut is a moon of a moon or a submoon because it orbits the moon Vulcan. So T'Mhut is not a moon by either definition.

Uhura drops to her knees and pounds on the ground.

Uhura: Aaaash!

Passing Vulcan child: She is emotional, isn't she.

A subsatelllite or submoon or moonmoon is possible but rather unlikely to have a stable orbit.

https://en.wikipedia.org/wiki/Subsatellite

Since Vulcan has no moon, a Vulcan month could not be the orbital period of a moon around Vulcan. But possibly the synodic period for the orbits of Vulcan and another moon of a giant planet to line up in the same configuration again might be a period in the Vulcan calendar that could be translated as a month.

Gene Roddenberry and D.C. Fontana wrote "No Moon" on a sketch of Vulcan for the TAS epiosode "Yesteryear", but the artists depicted a moon like object in the Vuclan sky anyway. If Roddenberry and Fontana didn't want Vulcan to have a moon, why did Fontana write in the script - and Roddenberry accept - mention of a Vulcan month?

Maybe they forgot that without a moon, Vulcan couldn't have a month like Earth does. Or maybe they decided that the Vulcan calendar divided the Vulcan year into periods that translated into Engish as months, even though they had nothing to do with the orbit of any moon around Vuclan.

In "Yesteryear" years are mentioned several times, but the type of year is specified only once. Use of the Guardian of forever accidentially causes Spock to die aged seven years of an unspecified type.

SPOCK: My mother. The son, what was his name and age when he died?
BATES [on monitor]: Spock. Age seven.

That happened twenty to thirty Vulcan years earlier.

KIRK: If we didn't change anything while we were in the time vortex, someone else must have. Was the Guardian in use while we were gone?
GREY: Yes, but it was nothing unusual. We were scanning recent Vulcan history.
SPOCK: What time period?
GREY: Twenty to thirty Vulcan years past.
KIRK: Was there any notation on the death of Ambassador Sarek's son?
ALEEK: Yes. The boy is recorded as dying during the maturity test.
SPOCK: The kahs-wan, a survival test traditional for young males.
ALEEK: The date was
SPOCK: The twentieth day of Tasmeen.
THELIN: How do you know this?
SPOCK: That was the day my cousin saved my life in the desert when I was attacked by a wild animal.

So in "Yesteryear" Spock should be aged twenty to thirty Vulcan years plus seven Vulcan or Earth or other years.

And the Vuclan calendar has months, and at least one Vulcan month, Tasmeen, has at least twnty days.

Spock goes back in time to rescue his younger self, telling the Guardian of Forever:

SPOCK: I wish to visit the planet Vulcan, thirty years past, the month of Tasmeen. Location, near the city of ShirKahr.

So Tasmeen is definitly translated as a month and not has a season, depite Vulcan not having a moon.

If the Guardian sent Spock thirty Vulcan years into the past, Spock would be aged thirty Vulcan years plus seven years of unspecified type, possibly Vulcan or Earth years.

Note that Dorothy Fontana's script for "Journey to Babel" had a description of Amanda as being 58 years, and The Making of Star Trek, 1968, describes Amanda as 58 years old, and Doroth Fontana's script for "Yesteryear" describes Amanda as being thirty when Spocks goes thirty years in the past. Anyway, Amanda doesn't look terribly old in "Journey to Babel"

On the other hand, Spock could not be too young in TOS since "The Menagerie" is thirteen yeas after the mission to Talos IV, when Spock was already senior enough to be third in command of the Enterprise.

So Spock should be about thirty five to forty during TOS. And if Spock's age in Vulcan years is about thirty seven in "Yesteryear", that would mean that Vulcan years are approximately as long as Earth years.

If Spock went back in tieme thirty Earth years to a period in the time span of twenty to thirty Vulcan years past, that would make a Vulcan year about 0.967 (zero point nine six seven) to 1.55 (one point five five zero) Earth years long. Or approximately 353.196 (three hundred fifty three point one nine six) to 566.137 (five hundred sixty three point one three seven).Earth days.

I think that is all the evidence for the length of Vulcan years in Star Trek canon. Humans who travel to Vulcan comment on the heat and the thin air. In Amok time:

KIRK: It's lovely. I wish the breeze were cooler.
MCCOY: Yeah. Hot as Vulcan. Now I understand what that phrase means.
KIRK: The atmosphere is thinner than Earth.

And when Spock is affected by a rapid aging conditionin "The Deadly Years":

SPOCK: I have a question for the doctor. (Kirk leaves) Doctor, the ship's temperature is increasingly uncomfortable for me. I've adjusted the environment in my quarters to one hundred twenty five degrees, which is at least tolerable. However, I
MCCOY: Well, I see I'm not going to be making any house calls on you.
SPOCK: I wondered if perhaps there was something which could lower my sensitivity to cold.
MCCOY: I'm not a magician, Spock, just an old country doctor.
SPOCK: Yes. As I always suspected. (leaves)

But apparently nobody comments on the length of Vulcan days, months, years, or other time periods.

Of course there are some references to the length of Vulcanyears in non canon sources.

Another piece of evidence for the length of the Vulcan year is Gene Roddenberry's novelization of Star Trek: The Motion Picture .

IN Chapter Two, Spock is on the plateau of Gol, undergoing Kolinahr to purge him of all emotions.

An hour before the rising of the Vulcan suns, Spock had made his way to the high promentery he had chosen as his own and there he had greeted red dawn this important day with mind-cleansing meditation.

This claims that Vulcan is in a double or multiple star system.

Spock had come here not long after the starship Enterprise had completed its historic five-year mission.

During the past nine Vuclan seasons*, he had not only survived the disciplines of kolinahr, but also the harsh trials had taken him to those consciousness levels wich are beyond the reachof confu, fatigue, and pain.

And a note explains:

* In Earth time, 2.8 years

Nobody would write nine seasonws if the actualy time wa less than eight or more than ten seasons. Nobody wouuld write 2.8 years if the actual time was less than 2.7 years or more than 2.9. Therefore.a Vulcan season should be between 0.27 (zero point two seven) and 0.3625 (zero point three six two five) Earth years long.

On Earth, the meteorological season in different places can vary in number and duration. But there are four astronomical seasons of equal length,

If Vulcan also has four astronomical seasons of equal length in a Vulcan year, a Vulcan year should equal 1.08 (one point zero eight) to 1.45 (one point four five) Earth years, or approximately 394.47 (three hundred ninety four point four seven) to 529.6125 (five hundred twenty nine point six one two five) Earth days.

So I wonder whether anyone can think of any other canon or non canon evidence for the length of Vulcan years.
 
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I'm a fan of your devotion/obsession on various time scale efforts. :techman: One more take on Vulcan:
SARGON: Because it is possible you are our descendants, Captain Kirk. Six thousand centuries ago, our vessels were colonising this galaxy, just as your own starships have now begun to explore that vastness. As you now leave your own seed on distant planets, so we left our seed behind us. Perhaps your own legends of an Adam and an Eve were two of our travellers.
MULHALL: Our beliefs and our studies indicate that life on our planet, Earth, evolved independently.
SPOCK: That would tend, however, to explain certain elements of Vulcan prehistory.
Firstly, I assume Vulcan may have been one of their colonies 600,000 years ago, and secondly, that Sargon's race would put colonies on fairly stable environments. If so, then the system arrangement needs to be Vulcan environmentally friendly (~1 G, generally hotter than Earth with thinner air) for the short run of days/seasons/years, but also for 6000 centuries, too. I think we need an orbital mechanics computer model to run possible binary/trinary star models with various planet/moon arrangements. :vulcan:

("What The Math" Anton Petrov at https://www.youtube.com/c/whatdamath uses gaming simulations where one can plug in these variables and run time-lapse simulations to predict planetary conditions. As one possible scenario, use the 40 Eridani trinary system and try to build a planet Vulcan into it, say orbiting around 40 Eridani A. Any takers?)

(I found a couple poor-ish examples on the web. Probably needs to be more analysis.)
40-Eridani.gif

40-Eridani.jpg
 
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AFAIK,we do not have the Vulcan day month year in Standard units.T'Khut is not necessary orbiting around Vulcan, as it could be in an orbit that passes close to Vulcan.
 
What does a planet need to be habitable?

There have been many scientific discussions of what is necessary for planets to be habitable for life.

However, those discussions are generally discussions of what is necessary for a planet to be habitable for life forms which are somewhat similar in their environmental requirements to at least a few lifeforms on Earth. As we all know there are millions of species of lifeforms on Earth, and though many have very similar environmental requirements to those of humans, many live in environments where humans can not survive.

Suppose someone offers to teleport you to a randomly selected location. Don't acccept that offer without making strict conditions, or you will almost certainly die horribly in a randomly selected location.

1) If a human was magically teleported to a randomly selected location in the universe, the odds would be gazillions to one that they would die almost instantly. The vast majority of the universe's volume is the vacuum of outer space. I have never calculated the proportion of the universe's volume which is within the biospheres of various habitable planets, but it is extremely and incredibly tiny.

2) It would be much safer for a human to be teleported to a rendomly chosen location at the planet Earth, or any planet known to be habitable for humans. However, the human would still have only a very, very, very small chance of surviving. The biosphere of Earth where life can survive is an extremely thin shell; the vast majority of the volume of Earth is densely packed rock beneath the biosphere.

3) It would be much safer for a human to be teleported to a randomly chosesn location within the biosphere of Earth, the part of Earth where various lifeforms live. But even in that case the human would probably die, since humans can not survive in most of the biosphere of Earth. The biosphere extends several kilometers or miles high into the atmosphere and several kilometers or miles deep beneath the oceans and deep within the rocks of Earth's crust.

4) It would be much safer for a human to be teleported to a randomly selected spot on the surface of the Earth. However, the majority of the surface of the planet Earth is ocean surface out of sight of land and too far for a human to swim to shore before drowning.

5) It would be much safer for a human to be teleported to a rendomly selected spot on the land surface of the Earth. However, large parts of the land surface of planet Earth are too hostile for a human to survive more than a few days or even hours without the right clothing and sufficient supplies of water and food and knowledge of which way to go to reach a more hospitable location.

And of course if someone offered to send you to an alternate or parellel universe where the laws of science were different, the odds of ending up in a habitable location would probably be even more infinitesimal than in our universe.

Anyway, there are many life forms on Earth that live in envirments on Earth which would be swifly fatal to humans.

And most discussions of planetary habitability discuss habitabilty for lifeforms which are carbon based and use liquid water, and can live in enviroments not much worse than those that the most extreme lifeforms on Earth could survive in. Humans could only survive on a minority of planets which astrobiologists would classify as habitable. And the same goes for hypothetical alien intelligent beings who live on land and breath oxygen like humasn do and thus have environmental requirements similar to those of humans.

The only discussion of the habitability of worlds which specifically forcuses on planets habitable for humans ( and incidentially also habitable for aliens with similar requirements) is Habitable Planets for Man, Stephen H. Dole, 1964, 2007. And of course some of Dole's data and conclusions may be obsolete due to advances in science since his time.

https://www.rand.org/content/dam/rand/pubs/commercial_books/2007/RAND_CB179-1.pdf

Dole discusses, for example, the spectral types of stars which could have habitable planets. Dole says that only main sequcence stars could have habitable planets, and only some of them. I may add that main sequcence stars are the majority of stars, that almost all stars are main sequence stars during part of their "lifetimes", and that most main sequence stars are called dwarfs (though white dwarf stars are not man sequence) and belong to luminosity class V.

Dole discusses the necessary properties of the primary (or star) of a habitable planet in Chapter 4 Teh Astronomical Parameters, section PROPERTIES OF THE PRIMARY, pages 67 to 72.

It should be noted that important properties of a star are its age and its initial and current chemical composition, but the most important property of a star is its mass. As ithappens, minor differences in the mass es of stars cause much larger differences in the luminosity new need to generation to remain stable keep from contracting. A minor increease of mass results in a major increas in luminosity, and thus in conversion of mass into energy. So even though more massive stars have more "fuel" to produce energy, their energy consumption is so much higher that they can shine steadlly on the man sequence for a shorter period of time.

From previous discussions of the dependence of habitiability on planetary age, it may be seen that the primary star must emit light and heat at a fairly constant rate for at least 3 billion years.

The only stars that conform with the requirement of stability for at least three billion years are main-sequence stars having a mass of less than about 1.4 solar masses - spectral type F2 and smaller - although the relationship betweeen mass and time of residence in the main sequence is probably not known with great accuracy and is subject to future revisions (see figure 25).

Because slight variations in stellar mass cause larger variations in stellar luminosity, a planet of a less massive star will have to be much deeper inthe gravity well of its star than a planet receiving the same amount of light and heat from a more massive star. Thus planet with Earth like temperature orbiting a lesser massive star would be subject to much stronger gravitya nd tidal effects from its star than a planet with Earth like temperature orbiting a higher mass star.

Eventually the tidal effects on planets too close th to their stars will cause tidal braking which will swiftly slow down their rotation until a planet's day will equal its year and one side has eternal day and is very hot and one side has eternal night and is very cold.

As may be seeen in figure 26, if H2 equal to 2.0 is used as a criterion, habitable planets can exist in ecospheres only around stars haveing masses larger than 0.72 solar mass. A "full" ecosphere can exist around primaries of stellar mass greater than about 0.88 solar mass, but the ecosphere is narrowed by the tidal braking effect for primaries of lesser mass until it disappears when the stellar mass reaches about 0.72. The range in mass of stars which could have habitable planets is thus 0.72 to 1.43 solar masses, corresponding to main-sequence stars of spectral types F2 through K1. There is an extension of this range down to the larger class M stars, greater than 0.35 solar masses) for a special class of planets with large satellites. This will be discussed in the next section.,

On pages 72 to 75 Dole discusses the cases of planets with large satellites, including the cases where the "satellite" is the more massive body, thus making the "planet" the natural satellite or moon of the larger body. Dole calculates that the tidal braking effect of a large enough companion world can tidally lock world to the companion world instead of to the star that they both orbit. Thus the tidally locked world could have a day short enough to be habitable, which Dole sets rather arbitarily at 96 hours or four Earth days.

Such a situation could keep the days of a planet short enough to be 96 hours or less, but another limit would be reached when the tides on the planet became too large for habitability. Dole calcualtes that lower limit would be reached when the mass of the star was 0.35 solar masses.

Accoding to the answer of user177107 to this question: https://astronomy.stackexchange.com...habitable-planet-change-with-stars-of-differe
a star with a mass of 0.44 solar mass would be a class M2V and a planet receiving the same flux of radiation from that stars as Earth gets from the Sun would orbit at 0.163 Astronomical Units (AU) with an orbital period of 36.51 Earth days.

A star with a mass of 0.78 solar mass would be a class K2V and a planet receiving the same flux of radiation from that star as Earth gets from the Sun would orbit at 0.58 Astronomical Units (AU) with an orbital period of 182.93 Earth days.

A star with a mass of 1.02 solar mass would be a class G2V and a planet receiving the same flux of radiation from that star as Earth gets from the Sun would orbit at 1 Astronomical Unit (AU) with an orbital period of 365.56 Earth days.

A star with a mass of 1.18 solar mass would be a class F8V and a planet receiving the same flux of radiation from that star as Earth gets from the Sun would orbit at 1.425 Astronomical Units (AU) with an orbital period of 572.18 Earth days.

A star with a mass of 1.33 solar mass would be a class F5V and a planet receiving the same flux of radiation from that star as Earth gets from the Sun would orbit at 1.853 Astronomical Units (AU) with an orbital period of 799.11 Earth days.

A star with a mass of 1.44 solar mass would be a class F2V and a planet receiving the same flux of radiation from that star as Earth gets from the Sun would orbit at 2.236 Astronomical Units (AU) with an orbital period of 1,018.01 Earth days.

As you may remember, in my post number one on this thread, I pointed out that the evidence in the animated episode "Yesteryear" can be interpreted as indicating that the year of the planet Vulcan should be either approximately as long as an Earth year - 365.25 (three hundred sixty five point two five ) Earth days - or else be approximately 353.196 (three hundred fifty three point one nine six) to 566.137 (five hundred sixty three point one three seven).Earth days.

And I also pointed out that Gene Roddenberry's novelization of Star Trek: The Motion Picture indicates that a Vulcan year should equal 1.08 (one point zero eight) to 1.45 (one point four five) Earth years, or approximately 394.47 (three hundred ninety four point four seven) to 529.6125 (five hundred twenty nine point six one two five) Earth days.

So if those indications that the Vulcan year is somewhere between slightly shorter than an Earth year and about one and a half Earth years long are correct, the star of Vulcan would seem to be somewhere between a class G2V star slighlty dimmer and less massive than the Sun to a class F8V star with about 1.18 times the mass of the Sun.

Of course Vulcan is apparently a lot hotter than Earth, and so probably receives signfiicantly more radiation from its star than Earth does. Thus the possible mass range of Vulcan' s star would seem to be shifted a bit to the more massive side if Vulcan has a year that long while being hotter than Earth.
 
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Even with all the favorable star types and planet sizes in the correct orbital locations, an Earth-like habitable environment is still very unlikely. This was explained back in TOS:
From The Paradise Syndrome:
MCCOY: Look at those pine trees.
KIRK: And that lake.
MCCOY: I swear that's honeysuckle I smell.
KIRK: I swear that's a little orange blossom thrown in. It's unbelievable. Growth exactly like that of Earth on a planet half a galaxy away. What are the odds on such duplication?
SPOCK: Astronomical, Captain. The relative size, age and composition of this planet makes it highly improbable that it would evolve similarly to Earth in any way.
...
SPOCK: Yes. The obelisk is a marker, just as I thought. It was left by a super-race known as the Preservers. They passed through the galaxy rescuing primitive cultures which were in danger of extinction and seeding them, so to speak, where they could live and grow.
MCCOY: I've always wondered why there were so many humanoids scattered through the galaxy.
SPOCK: So have I. Apparently the Preservers account for a number of them.
The abundance of Earth-like environments can only be explained by terraforming and humanoid seeding by advanced aliens (i.e. Sargon's race, the Preservers, etc.). :vulcan:
 
@Henoch It turns out that the real 40 Eridani is a good choice for Vulcan. THe cooler 40 Eri A has a closer Goldilocks zone (about 0.6 AU) but that coolness means the star will appear larger (hence brighter) in the sky. And the exoplanet that has been found orbits closer in (42 day orbit), which might provide a observing history to provide for a Vulcan 'month.'

40 Eri B and C orbit each other at a distance of 35 AU and the pair orbit 40 Eri A at a distance of 400 AU so they shouldn't affect orbital stability. Their appearance in Vulcan's sky would be much brighter than Venus in Earth's sky and no doubt would have a significant influence on any Vulcan folklore.
 
Even with all the favorable star types and planet sizes in the correct orbital locations, an Earth-like habitable environment is still very unlikely. This was explained back in TOS:

The abundance of Earth-like environments can only be explained by terraforming and humanoid seeding by advanced aliens (i.e. Sargon's race, the Preservers, etc.). :vulcan:

In 1964, Dole in Habitable Planets for Man,, pages 103 to 105, estimated that there were about 600 million habitable planets in our Mikly Way Galaxy.. There have been many later estimates of the number of habitable planets in our galaxy, but most of them are estimates for the borader category of planets habitable for lifeforms in genral instead of humans in particular.

In Table 19 on page 105 Doles estimated that:

There would be one star with a habitable planet within a radius of 27.2 light eyrs from the Sun, two stars with habitable planets within a radiusof 34.3 light years, 5 stars with habitable planets within a radius of 46.5 light years, 10 stars with habitable planets within a radius of 58.5 light years, and 50 stars with habitable planets within a radius of 100 light years.

Throughout the galaxy the mean distance between a given star chosen at random and its closest stellar neighbor si about 4 light-years; the mean distance between a star with a habitable planet and its lcosest neighbor with ahabitable planet is about 24 light years.

https://www.rand.org/content/dam/rand/pubs/commercial_books/2007/RAND_CB179-1.pdf

So habitable planets are not that rare according to Dole's estimates made with the science of the early 1900s. Of course habitable planets are much more common in Star Trek than in Dole's estimate, and many of them orbit stars wiich are unsuitable for having naturally habitable palnets. Thus high powered civilizations should have terraformed a lot of planets to make them habitable, as you suggest..

@Henoch It turns out that the real 40 Eridani is a good choice for Vulcan. THe cooler 40 Eri A has a closer Goldilocks zone (about 0.6 AU) but that coolness means the star will appear larger (hence brighter) in the sky. And the exoplanet that has been found orbits closer in (42 day orbit), which might provide a observing history to provide for a Vulcan 'month.'

40 Eri B and C orbit each other at a distance of 35 AU and the pair orbit 40 Eri A at a distance of 400 AU so they shouldn't affect orbital stability. Their appearance in Vulcan's sky would be much brighter than Venus in Earth's sky and no doubt would have a significant influence on any Vulcan folklore.

I think that most serious Star Trek fans desire 40 Eridani A to be the star of Vulcan. And I thik that most fans would also desire for everything in canon productions, and also a lot of stuff in noncanon sources, to be valid in the fictional universe of Star Trek.

So is the data on the length of the Vulcan year consistent with Vulcan orbiting 40 Eridani A?

Tha tis the main question that I created this thread to ask.
 
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@MAGolding A planet in 40 Eridani A's Goldilocks zone would have an orbit around 225 days give or take. So that part would be different than the TMP novel.
 
@MAGolding A planet in 40 Eridani A's Goldilocks zone would have an orbit around 225 days give or take. So that part would be different than the TMP novel.

And a Vulcan year of about 225 days, or significantly shorter because Vulcan is hotter than Earth, would also be signficantly different from the calculations which could be made from "Yesteryear". So the problem which I am discussing in this thread is how to find a way for both 40 eridani A being the sun of Vulcan and the calculated lengths of the Vulcan year to be accurate.
 
And a Vulcan year of about 225 days, or significantly shorter because Vulcan is hotter than Earth, would also be signficantly different from the calculations which could be made from "Yesteryear". So the problem which I am discussing in this thread is how to find a way for both 40 eridani A being the sun of Vulcan and the calculated lengths of the Vulcan year to be accurate.
I don't think you really can, not without either,
a)changing the real world attributes of 40 Eridani, or
b) retconning the episode.
The TMP novel itself just doesn't match up with the bulk of the closest stars, given that most within 10 parsecs are smaller and cooler than the Sun. So finding a candidate that can support a planet with a longer year and is also hotter requires going farther out.
 
I mean I don't really care all that much whether Vulcan's sun is 40 Eridani or not, but I think it's fair to say that the Star Trek version of the Milky Way galaxy differs from the real one quite a bit. If and whenever we manage to get to 40 Erdani we won't find a Desert planet populated by pointy-eared people there.
So I don't see anything wrong with assuming that the ST version of 40 Eridani (if it really has to be Vulcan's system) is different from its real world counterpart.

(personally I also say Spock's claim of "Vulcan having no moon" was a fib because Uhura's flirting had him flustered)
 
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@Orphalesion I tend to go the opposite direction. If the story is set in NYC, you can have a fictional bar, but I expect the Brooklyn Bridge to span the East River and not the Hudson. (One of things I really like about Butcher's Dresden Files is his fidelity when using real world Chicago landmarks.)

One of the issues, of course, is that we have learned so much about the Universe since Star Trek was born so some of the things established in Trek has been displaced by newer knowledge..
 
@Orphalesion I tend to go the opposite direction. If the story is set in NYC, you can have a fictional bar, but I expect the Brooklyn Bridge to span the East River and not the Hudson. (One of things I really like about Butcher's Dresden Files is his fidelity when using real world Chicago landmarks.)

One of the issues, of course, is that we have learned so much about the Universe since Star Trek was born so some of the things established in Trek has been displaced by newer knowledge..

I can understand where you're coming from.
For me this goes so far that I expect Earth to resemble real Earth, the Sol system to have its eight planets and various other celestial objects and the Sol system to be in the right place on the galactic map. But beyond that everything else can be different, as far as I am concerned.
 
So finding a candidate that can support a planet with a longer year and is also hotter requires going farther out.
Can't do anything about year length, but planet temperature is also dependent on its atmosphere composition and the rotational spin speed. Unfortunately, Vulcan's thinner air (less oxygen and less pressure) tends to move the planet temperature toward the cool scale. Oh well. :shrug:
 
Can't do anything about year length, but planet temperature is also dependent on its atmosphere composition and the rotational spin speed. Unfortunately, Vulcan's thinner air (less oxygen and less pressure) tends to move the planet temperature toward the cool scale. Oh well. :shrug:
TMP says the Vulcan year is longer than Earth's so I was actually talking about choosing a star beyond the 10 parsec range in order to have one larger (wider habitable zone and longer year) and warmer ("Hot as Vulcan") The few larger stars within the 10 parsec range can be discounted for various reasons.
 
I expect the stars in the 40 Eridsni system to be the same in the PU as in ours. Planets and other bodies will vary.
 
Check out the Stromgren sphere around Omicron-2 Eri (AKA 40 Eri) on this one.
Vulcan would need stronger Van Allan belts, right?
https://gruze.org/galaxymap/10pc/

There shouldn't be stromgren spheres around either Sirius B or 40 Eridnai B. Stromgren spheres are around spectral class O and B stype stars, and white dwarfs are not spectral types O or B, instead beind DA, which I think means being dwarf stars with spectral class A, not O or B. And I never heard of any nebulosity asosciated with Siris or 40 eridania.
 
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