The simple O,B,A,F,G,K,M, 0-9 and Ia,Ib,II,III,IV,V,VI and with a few more additions.
To begin roll a 1d100
1-12 - Go on to roll a star from Group 1
13-34 - Your star is from Group 2 but being the only type in the group give it a first classification of F
35-72 - Go on to roll a star from Group 3
73-100 - Go on to roll a star from Group 4
To determine whether a Solar System has more than one star make a roll of 3d10. If your solar system is located within an Open Cluster add a modifier of 5 to the roll, if it is in a Globular Cluster add a modifier of 8.
On a roll higher than 15 for the first star add a binary star. For any further star rolls it must be higher than 21.
Keep on rolling until you are satisfied or your roll fails
E.G. on my opening roll I got a 26(Not in a cluster so no modification) so I have a binary star. on my next roll I got a 9 so there are no further rolls. I now name my stars as Sykarr A for the primary star and Sykarr B for the binary star.
Next we need to determine the type of a star in a multiple star system in relation to the to the preceding star.
Roll a 1d10
1-2 - Second star is of identical spectral type and luminosity class, though possibly of another higher numeric
specification. Roll 1d10-1 - if lower than the original star, use the original star's number, otherwise use
the rolled number.
3+ - Second star is of random type, go back and determine a new group, make sure to keep to the rules
explained here because the primary star is always the more massive in classification. However, treat any
result that would give a second star of a higher type than the original star as a Brown Dwarf result.
Group1 - 1d10
1-2 - Your star is of type O
2-3 - Your star is of type B
4-6 - Your star is of type A
7-10 - Your star is of type NS - NS Stands for Neutron StarGroup 3 - 1d100
1-27 - Your star is of type G
28-59 - Your star is of type K 60-100 - Your star is of type M
1-4 - Your star is of type WD - WD Stands for White Dwarf
5-10 - Your star is of type BD - BD Stands for Brown Dwarf - If you rolled on this type for your primary then ignore it a brown dwarf is extremely unlikely to be a primary star.
E.G. I rolled a 45 so my star is from Group 3. I roll a 96 so my star is of type M
Next we roll a 1d10-1 to determine it's position towards the next type.
E.G. I rolled a 4-1 so 3. My star is now of type M3
The last classifying scheme is to determine the star apart from others of the same type but with a different luminosity class
Roll a 1d100
Note - any star which is of the type BD or NS does not have this luminosity class, so just ignore it. A star of type WD will always be VII in luminosity class
1-2 - The stars Luminosity classification is Ia
3-4 - The stars Luminosity classification is Ib
5-9 - The stars Luminosity classification is II
10-21 - The stars Luminosity classification is III
22-39 - The stars Luminosity classification is IV
40-90 - The stars Luminosity classification is V
91-100 - The stars Luminosity classification is VI
E.G. I rolled a 88 so my primary star is now fully classified as a M3V type star. Because I have 2 stars in my system I had to go back and do the classification steps for the second star. I rolled a 7 so my component B star will be of a different spectral type. Because my original star if from group 3 i must roll a group 3 or 4 star or it will be a Brown Dwarf. I rolled a 15 so my second star is a Brown Dwarf (BD).
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