Stellar types and D6 generation

sideranautae

Mongoose
I'm not the author of this work. Sent to me a long time ago.

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Red dwarf stars are main sequence stars, just down at the low end mass and luminosity-wise. They are not going to be baking any planets unless said planets are exceedingly close to them.

Main sequence stars run from very hot and bright (O, B, and many A stars) through sun-like stars (dimmer A class stars, and G stars) and down to dimmer and (relative to the sun anyway) very dim stars (class K and M stars). Main sequence stars are sometimes referred to as dwarfs, in contrast with giant and super-giant stars. So you will see sun like-stars sometimes referred to as "yellow dwarfs" and class M stars referred to as "red dwarfs" -- they're relatively dim and red.

Main sequence is the state that stars spend most of their time in. The larger a star is, the hotter it "burns" (actually fusion, of course) and the faster it goes through its supply of hydrogen and other fusible elements. Red dwarfs burn coolest and slowest so, even though they have less hydrogen by mass, they last a long, long time. On the other hand, high-mass stars are the brightest and hottest and are short-lived -- the biggest of them may spend less than a million years on the main sequence, while the dimmest stars will be there for many billions of years.

Once a star has burned a significant portion of the hydrogen at its core into helium, there is no longer enough hydrogen to sustain energetic fusion at its core. With less energy being produced, gravity begins to pull the star into its core. As it collapses, the core heats up due to compression until (if the star is big enough) it gets hot enough for helium to begin to fuse into heavier elements (otherwise it continues to shrink and to cool as a "white dwarf" until it someday becomes a "black dwarf" -- a slowly cooling ball of densely compressed gas).
Helium fusion produces much more energy than hydrogen fusion does. As a result, once helium ignites at the core of the star it expands to be much larger than it was during its main sequence phase, thus becoming a red giant. That's when it starts baking planets. The star goes through it's supply of helium much faster than it went through its hydrogen so this phase is much shorter than the main sequence phase. If the star is much less than the mass of our sun, once it burns through it's helium (producing oxygen, nitrogen, and carbon) it will slowly dwindle down into a "white dwarf" and on towards a "black dwarf." This is the eventual fate of our sun.

If the star is several times the size of our sun it will produce enough heat as it collapses to fuse carbon, oxygen, nitrogen, etc. into even heavier elements and it will expand again out to super giant size. These super giant stars will eventually reach the point where they are fusing elements into iron at their cores -- this is fatal. Fusion into iron or heavier elements takes more energy than it produces. The reaction sucks energy out of the core of the star and, within literally minutes it begins to collapse upon itself. Once everything comes crashing down into the core you end up blowing the star apart in a supernova and the remnant left behind, after all the outer layers are blasted away, will become a neutron star, or if the star was very large, a black hole -- surrounded by a rapidly expanding shell of gas and debris.

Those last few moments are where virtually all the elements heavier than iron are created by fusion and then blasted out away from the star to eventually form worlds and all the other non-stellar entities in the universe.

Now, how common are various kinds of stars? A principle you'll see throughout nature is that the larger something is, the fewer in number of it exists. Given a square mile of forest, there will be uncountable zillions of microorganisms, million of insects, thousands of field mice, dozens of rabbits, and a couple of deer.

There are more grains of sand than pebbles, more pebbles than boulders, more boulders than hills, more hills than mountain peaks, etc.

In the solar system there are vast numbers of meteoroids, billions of small asteroids, dozens of worlds and moons, four terrestrial planets, two small gas giants, a couple of successively bigger gas giants, and one star.

Stars -- There are vastly more dim stars (red dwarfs) and almost stars (brown dwarfs) than sun-like stars, vastly more sun-like stars than really big stars, and the red giants and super giants, are exceedingly rare.

Numbers:

Blue and Red Super-giants (type I & II) -- massive (like, freakin' HUGE) stars at the end of their lives. 0.000025% of stars. About 1 in 4,000,000 stars.

Red Giants (type III) -- Stars nearing the end of their lives, fusing helium, oxygen, nitrogen, carbon, etc. at their cores. Average mass is about 1.2 solar masses (sols). 0.5% of stars or about 1 star in 200.

White Dwarfs -- Burned out stars, average about 1 solar mass. 8.75% or almost 1 in 11 stars.

Black Holes and Neutron Stars -- Cinders. Exceedingly rare. Perhaps .001% and .0001% respectively (I don't have actual numbers here) That would be 1 in 100,000 and 1 in 1,000,000 stars.

The rest are basically main sequence stars. I'll break those down by class:


Spectral Class O Stars (Blue Giants) -- These are so big, even as main sequence, that they're called giants. They lose whole suns worth of mass as solar winds (solar hurricanes?) blowing their outer layers off as they age. Lifespans of only thousands of years before they die spectacularly. They average about 25 solar masses. 0.0000025% or 1 star in 40,000,000.

Spectral Class B Stars -- Average about 5 solar masses. Still very hot and very short lived. Probably not enough time in their lives for planets to form out of the gas and dust orbiting them. 0.075% or 1 star in 1300

Spectral Class A Stars -- Still too hot, big, and short lived for life-bearing planets to have time to form around them -- life might get as far as oceans of yeast and stuff before they die. Average about 1.7 solar masses. 0.75% or 1 star in 130.

Spectral Class F Stars -- The hottest stars likely to harbor life-bearing planets. Average of 1.2 solar masses. 3% or about 1 star in 33.

Spectral Class G Stars -- Sun-like stars - yellow dwarfs. Average about 0.9 solar masses. 6.5% or about 1 star in 15.

Spectral Class K Stars -- Cooler and dimmer than our sun. Smaller ones will probably tide-lock planets in their habitable zones. Average about 0.5 solar masses. 13% or about 1 in 8 stars.

Spectral Class M Stars -- The smallest and coolest stars -- red dwarfs. Habitable planets will be tide-locked except under very unusual circumstances (like Mercury's 3:2 lock with the Sun). BTW, recent research suggests that tide-locked planets with a decent atmosphere can be very life-friendly -- they may be the most common kind of life-bearing planets in the universe. (But that's for another article.) 67.5% or about 2 out of 3 stars.

Brown dwarfs -- Bigger than Jupiter, too small to sustain fusion, these are very hot compared to planets (glowing red) but cool compared to stars. We don't really have a count for them since they're hard to find (so very dim compared to stars) but the proportion of brown dwarfs to stars (of any kind) is probably at least a similar ration to that of red dwarfs to all other stars -- say perhaps 3 brown dwarfs for every star.



A quick and dirty set of tables using (more or less) the percentages given in the post above:

Roll two six-sided dice for each applicable table (the usual 6 by 6 Traveller matrix applies here).

Table One: Common stars
11 - 13 -- White Dwarf (burned out star)
14 - 53 -- class M (dim red star)
54 - 62 -- class K (dim orange star)
63 - 64 -- class G (yellow Sun-like star)
65 -- class F (bright white star)
66 -- class A (very bright white star) or roll on Rare Star Table

Table Two: Rare Stars
11 - 42 -- class A (very bright white star)
43 - 44 -- class B (huge blue-white star)
45 - 65 -- Red Giant (bloated dying star)
66 -- class O (ginormous blue-white star) or roll on Rare Giant Star Table



Table Three: Rare Giant Star Table
(roll one six sided die)

1 -- class O (ginormous blue-white star)
2 -- neutron star (cinder)
3 -- black hole (really crispy cinder)
4 - 5 -- Red Super-giant (really bloated dying star)
6 -- Blue Super-giant (dying ginormous blue-white star)

Really, all you need is the first table and even that over-represents class A stars. The last couple of tables make the rare stars much more common than they really are but will certainly do for game play -- trying to keep things simple.
 
That is if all you have is d6s that you robbed from some game of Yahtzee or craps or black jack. Usually I rely on my computer to generate these numbers. I also think we need a table to determine the mass of these stars so we can determine the jump limits, especially with black holes, as they have no upper limit on their masses. I don't think you can use the 100 diameter rule for white dwarfs, red giants, neutron stars, or black holes, it should be proportional to the cube root of mass of the object. It just so happens that a planet with the density equal of Earth will have a Jump limit equal to 100 diameters of that planet. Black holes are much denser, so the jump limit should be proportional to what 100 diameters would be if the density was the same of the Earth, taking the cube root in Earth masses and multiplying by 100 Earth diameters will give you the jump limit of a black hole or any other massive body.
 
Tom Kalbfus said:
That is if all you have is d6s that you robbed from some game of Yahtzee or craps or black jack. Usually I rely on my computer to generate these numbers.

This gives the frequency. Your computer won't do squat without an algorithm programmed. :shock:

Tom Kalbfus said:
I also think we need a table to determine the mass of these stars so we can determine the jump limits,

Not if using Traveller Jump drives. ;)
 
sideranautae said:
Tom Kalbfus said:
I also think we need a table to determine the mass of these stars so we can determine the jump limits,

Not if using Traveller Jump drives. ;)


That and the masses are already mentioned. "Solar Mass" is a standard unit, where the mass of our Sun = 1. Precision is only important if you have mapped a system to a real and known star, or have hung plot on a precise relationship between the jump horizon and another in-system feature.
 
GypsyComet said:
sideranautae said:
Tom Kalbfus said:
I also think we need a table to determine the mass of these stars so we can determine the jump limits,

Not if using Traveller Jump drives. ;)


That and the masses are already mentioned. "Solar Mass" is a standard unit, where the mass of our Sun = 1. Precision is only important if you have mapped a system to a real and known star, or have hung plot on a precise relationship between the jump horizon and another in-system feature.

Right. And, the 100D limit is always a safe limit no matter the mass. Only during extreme ops (critical Fleet battles) would you want to attempt shaving a tiny bit off of that distance.
 
sideranautae said:
GypsyComet said:
sideranautae said:
...

Not if using Traveller Jump drives. ;)


That and the masses are already mentioned. "Solar Mass" is a standard unit, where the mass of our Sun = 1. Precision is only important if you have mapped a system to a real and known star, or have hung plot on a precise relationship between the jump horizon and another in-system feature.

Right. And, the 100D limit is always a safe limit no matter the mass. Only during extreme ops (critical Fleet battles) would you want to attempt shaving a tiny bit off of that distance.
What is the 100D limit for a black hole? A black hole's diameter is generally understood to be that of its event horizon, A typical black hole of several solar masses would have a diameter of 10 kilometers, the 100 diameter limit of that would be a 1000 kilometer radius around the black hole, seems kind of small when you compare it with a star of the same mass, which may be 1,000,000 kilometers in radius and the 100 diameter radius of that would be 100,000,000 km, and what about the star Betelgeuse, with a diameter of 1,641,380,000 km? Betelgeuse has a mas from 7.7 to 20 Solar masses using the larger mass 333,000 Earth masses times 20 = 6,660,000 Earth masses. equals 188.144 Earth diameters if you take the cube root which is a jump limit of 240,824,895 km, this is less than 820,000,000 km which is the radius of Betelgeuse, using my rule, you could make a jump from within the atmospheric envelope of Betelgeuse. The Betelgeuse atmosphere is pretty tenuous, one could probably fly a spaceship through it, basically a hot spherical nebula. So should you be allowed to make a jump from within Betelgeuse, or do you want to go with the 100 diameter limit of that star even though another star of that same mass is much smaller?
 
Rikki Tikki Traveller said:
Just because the jump bubble can be formed 1000 km from a Black Hole doesn't mean it is safe to go there for other reasons.
Well black holes technically don't have a diameter, the event horizon is not really a surface, it is a mathematical construct beyond which light cannot escape. The only things that define a black hole are mass, spin, and charge, there is literally nothing else, so technically you could fall within the event horizon of a black hole and then activate your jump drive before you reached the singularity and jump back outside the black hole and tell what you saw! If we are going to be sticklers for rules, you can have spaceships falling into black holes and then activating their jump drives to get out of them!
 
Tom Kalbfus said:
Well black holes technically don't have a diameter, the event horizon is not really a surface,

Actually, that is the mathematical definition. In reality we have ZERO experience with what they are really like. Since there is mass there will be something to be a "surface". There will be the vacuum of space and then the mass that creates the gravity. No mass, no gravity. :wink:
 
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