Made some modifications to how Stars Unlimited generates stars and mainworld sizes.  Below are the results from both mods (apologies for the length of this post):
Mod 1: mainworld sizes are now modified as follows - orbit 0, -(1d6-1); orbit 1, -(1d5-1); orbit 2, -(1d2-1).
Impact: red dwarfs occur at about 78% of the time, vacuum worlds 30% of the time, asteroid belts 21% of the time.
Sample Space: 5 dense subsectors
----  -------------  --------------  ---- ---  ------------ --------------------------
Hex   UWP            Trade Class     Zone PBG  Stellar Data System Notes
----  -------------  --------------  ---- ---  ------------ --------------------------
0101  E000783-4      Na De As             322  M2 V         red dwf prim., 2 l.GGs, min.orbit 0, hab.zone 0, main world orbit 0, +0 planets
0102  E0006AA-4      Na Ni De As          631  M5 V         red dwf prim., 1 l.GG, min.orbit 0, hab.zone 0, main world orbit 0, +0 planets
0103  A8B6473-D  SN  Ni                   512  F3 Ia        lgt.yellow br. super giant prim., binary system, 2 s.GGs, min.orbit 4, hab.zone 11, main world orbit 11, +5 planets
0105  X530204-0      Ni Po De             211  M7 V         red dwf prim., 1 l.GG, min.orbit 4, hab.zone 0, main world orbit 4, +2 planets
0106  B31079B-8      Na De                511  F9 V         lgt.yellow main seq. prim., 1 s.GG, min.orbit 4, hab.zone 4, main world orbit 4, +4 planets
0107  X600037-0      Ni De Va             911  M6 V         red dwf prim., binary system, 1 s.GG, min.orbit 4, hab.zone 0, main world orbit 4, +3 planets
0108  A565446-9  N   Ni                   511  M4 V         red dwf prim., 1 s.GG, min.orbit 4, hab.zone 0, main world orbit 4, +4 planets
0110  A0006A7-E  SN  Na Ni De As          211  F2 V         lgt.yellow main seq. prim., 1 l.GG, min.orbit 4, hab.zone 5, main world orbit 5, +4 planets
0201  E300344-4      Ni De Va             931  M8 V         red dwf prim., 1 l.GG, min.orbit 4, hab.zone 0, main world orbit 4, +3 planets
0203  X300022-2      Ni De Va             521  M4 V         red dwf prim., trinary system, 1 l.GG, min.orbit 4, hab.zone 0, main world orbit 4, +3 planets
0204  B200756-8      Na De Va             124  M4 V         red dwf prim., 3 s.GGs, 1 l.GG, min.orbit 4, hab.zone 0, main world orbit 4, +5 planets
0205  BAA5645-6      Ni               A   124  F9 V         lgt.yellow main seq. prim., 4 s.GGs, min.orbit 4, hab.zone 4, main world orbit 4, +0 planets
0206  C000551-8      Ni De As             421  M9 V         red dwf prim., 1 s.GG, min.orbit 4, hab.zone 0, main world orbit 4, +2 planets
0207  X522232-1      Ni Po                722  M1 V         red dwf prim., 2 s.GGs, min.orbit 4, hab.zone 0, main world orbit 4, +0 planets
0208  X300000-4      Ni De Va             123  W1 D         white dwf prim., 1 s.GG, 2 l.GGs, min.orbit 4, hab.zone 0, main world orbit 4, +4 planets
0209  X754000-1      Ni                   931  M7 V         red dwf prim., 1 s.GG, min.orbit 4, hab.zone 0, main world orbit 4, +5 planets
0301  C87756B-6  S   Ag Ni            A   931  M4 V         red dwf prim., binary system, 1 s.GG, min.orbit 4, hab.zone 0, main world orbit 4, +0 planets
0302  B469525-C      Ni                   132  F0 V         lgt.yellow main seq. prim., 2 s.GGs, min.orbit 4, hab.zone 4, main world orbit 4, +0 planets
0303  B322457-C  N   Ni Po            A   934  M4 V         red dwf prim., 2 s.GGs, 2 l.GGs, min.orbit 4, hab.zone 0, main world orbit 4, +0 planets
0304  E425102-6      Ni                   434  M6 V         red dwf prim., 1 s.GG, 3 l.GGs, min.orbit 4, hab.zone 0, main world orbit 4, +0 planets
0305  X500003-4      Ni De Va             114  M9 V         red dwf prim., binary system, 2 s.GGs, 2 l.GGs, min.orbit 4, hab.zone 0, main world orbit 4, +3 planets
0306  C300322-A      Ni De Va             814  M6 V         red dwf prim., 1 s.GG, 3 l.GGs, min.orbit 4, hab.zone 0, main world orbit 4, +0 planets
0307  X866105-0      Ni                   314  M7 V         red dwf prim., 2 s.GGs, 2 l.GGs, min.orbit 4, hab.zone 0, main world orbit 4, +4 planets
0309  X945005-1      Ni                   811  W5 D         white dwf prim., 1 l.GG, min.orbit 4, hab.zone 0, main world orbit 4, +2 planets
0310  A100646-C  SN  Na Ni De Va          112  M3 V         red dwf prim., binary system, 1 s.GG, 1 l.GG, min.orbit 4, hab.zone 0, main world orbit 4, +0 planets
0402  X000003-3      Ni De As             612  M4 V         red dwf prim., 2 l.GGs, min.orbit 4, hab.zone 0, main world orbit 4, +3 planets
0405  X300222-2      Ni De Va             915  M2 V         red dwf prim., binary system, 2 s.GGs, 3 l.GGs, min.orbit 4, hab.zone 0, main world orbit 4, +3 planets
0408  X300035-0      Ni De Va             811  M6 V         red dwf prim., binary system, 1 s.GG, min.orbit 4, hab.zone 0, main world orbit 4, +0 planets
0409  E410144-8      Ni De                911  M1 V         red dwf prim., binary system, 1 s.GG, min.orbit 4, hab.zone 0, main world orbit 4, +3 planets
0410  X310200-5      Ni De            R   212  M7 V         red dwf prim., 2 s.GGs, min.orbit 4, hab.zone 0, main world orbit 4, +4 planets
0503  C000340-8  S   Ni De As             911  F5 V         lgt.yellow main seq. prim., 1 l.GG, min.orbit 4, hab.zone 6, main world orbit 6, +2 planets
0504  B446433-B      Ni                   611  F1 V         lgt.yellow main seq. prim., 1 l.GG, min.orbit 4, hab.zone 4, main world orbit 4, +5 planets
0505  X521221-1      Ni Po            A   122  M5 V         red dwf prim., 1 s.GG, 1 l.GG, min.orbit 4, hab.zone 0, main world orbit 4, +4 planets
0506  X000365-4      Ni De As         A   122  M4 V         red dwf prim., binary system, 1 s.GG, 1 l.GG, min.orbit 4, hab.zone 0, main world orbit 4, +0 planets
0507  X300003-4      Ni De Va             921  M4 V         red dwf prim., 1 l.GG, min.orbit 4, hab.zone 0, main world orbit 4, +3 planets
0508  X000221-1      Ni De As             721  M6 V         red dwf prim., 1 s.GG, min.orbit 4, hab.zone 0, main world orbit 4, +4 planets
0509  X200220-2      Ni De Va             721  M5 V         red dwf prim., 1 s.GG, min.orbit 4, hab.zone 0, main world orbit 4, +5 planets
0510  A624421-9  N   Ni                   621  M6 V         red dwf prim., 1 l.GG, min.orbit 4, hab.zone 0, main world orbit 4, +5 planets
0601  X000000-4      Ni De As             722  M7 V         red dwf prim., 2 l.GGs, min.orbit 4, hab.zone 0, main world orbit 4, +4 planets
0602  X000100-5      Ni De As         R   521  M9 V         red dwf prim., 1 s.GG, min.orbit 4, hab.zone 0, main world orbit 4, +7 planets
0603  C100445-7  S   Ni De Va         A   321  F7 V         lgt.yellow main seq. prim., 1 s.GG, min.orbit 4, hab.zone 6, main world orbit 6, +1 planet
0604  A400744-B      Na De Va             711  K0 III       orange giant prim., 1 l.GG, min.orbit 5, hab.zone 8, main world orbit 8, +8 planets
0608  X600230-0      Ni De Va             115  M9 V         red dwf prim., 4 s.GGs, 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +3 planets
0609  X000120-1      Ni De As             612  M2 V         red dwf prim., binary system, 2 l.GGs, min.orbit 5, hab.zone 0, main world orbit 5, +2 planets
0610  C400246-A      Ni De Va             212  W0 D         white dwf prim., binary system, 1 s.GG, 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +6 planets
0702  B20048A-D  SN  Ni De Va             712  M9 V         red dwf prim., 2 l.GGs, min.orbit 5, hab.zone 0, main world orbit 5, +3 planets
0703  B200323-A  SN  Ni De Va             411  G3 V         yellow main seq. prim., binary system, 1 s.GG, min.orbit 5, hab.zone 3, main world orbit 5, +3 planets
0707  D510352-4      Ni De            R   413  M3 V         red dwf prim., 3 s.GGs, min.orbit 5, hab.zone 0, main world orbit 5, +3 planets
0708  X100004-3      Ni De Va         A   333  M0 V         red dwf prim., binary system, 2 s.GGs, 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +1 planet
0709  X200231-0      Ni De Va             613  M4 V         red dwf prim., binary system, 2 s.GGs, 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +1 planet
0801  E320310-6      Ni Po De             111  M0 V         red dwf prim., binary system, 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +6 planets
0802  E33068A-7      Na Ni Po De          911  M5 V         red dwf prim., 1 s.GG, min.orbit 5, hab.zone 0, main world orbit 5, +3 planets
0803  X000000-5      Ni De As             321  M5 V         red dwf prim., binary system, 1 s.GG, min.orbit 5, hab.zone 0, main world orbit 5, +1 planet
0806  X300000-3      Ni De Va             112  M5 V         red dwf prim., binary system, 2 l.GGs, min.orbit 5, hab.zone 0, main world orbit 5, +5 planets
0807  X510225-2      Ni De            R   612  M5 V         red dwf prim., binary system, 1 s.GG, 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +7 planets
0808  X000301-7      Ni De As             522  M8 V         red dwf prim., 2 l.GGs, min.orbit 5, hab.zone 0, main world orbit 5, +2 planets
0809  C542489-6      Ni Po                822  M8 Ib        red weak super giant prim., 1 s.GG, 1 l.GG, min.orbit 8, hab.zone 12, main world orbit 12, +1 planet
Mod 2: mainworlds are modded as Mod 1, but changed occurence rate of red dwarfs to 50%
Impact: red dwarfs occur at about 51% of the time, vacuum worlds 23% of the time, asteroid belts 18% of the time.
Sample Space: 5 dense subsectors
----  -------------  --------------  ---- ---  ------------ --------------------------
Hex   UWP            Trade Class     Zone PBG  Stellar Data System Notes
----  -------------  --------------  ---- ---  ------------ --------------------------
0101  E000889-6      Na De As             602  M8 V         red dwf prim., binary system, 1 s.GG, 1 l.GG, min.orbit 0, hab.zone 0, main world orbit 0, +2 planets
0103  A10088A-D      Na De Va             914  M0 V         red dwf prim., 3 s.GGs, 1 l.GG, min.orbit 0, hab.zone 0, main world orbit 0, +5 planets
0104  B355486-7      Ni                   912  B5 V         lgt.blue main seq. prim., 1 s.GG, 1 l.GG, min.orbit 0, hab.zone 12, main world orbit 12, +4 planets
0105  X310333-1      Ni De                312  M1 V         red dwf prim., 1 s.GG, 1 l.GG, min.orbit 0, hab.zone 0, main world orbit 0, +0 planets
0106  X100510-2      Ni De Va             722  F4 V         lgt.yellow main seq. prim., 1 s.GG, 1 l.GG, min.orbit 0, hab.zone 5, main world orbit 5, +1 planet
0108  C3336AC-5      Na Ni Po             721  M5 V         red dwf prim., 1 s.GG, min.orbit 0, hab.zone 0, main world orbit 0, +4 planets
0109  A652653-9      Ni Po                621  M7 V         red dwf prim., 1 l.GG, min.orbit 0, hab.zone 0, main world orbit 0, +2 planets
0110  X578013-0      Ni                   321  M5 V         red dwf prim., binary system, 1 l.GG, min.orbit 0, hab.zone 0, main world orbit 0, +6 planets
0201  C564579-6  S   Ag Ni                411  B4 V         lgt.blue main seq. prim., binary system, 1 l.GG, min.orbit 0, hab.zone 12, main world orbit 12, +1 planet
0203  X000002-2      Ni De As             811  M5 V         red dwf prim., 1 s.GG, min.orbit 0, hab.zone 0, main world orbit 0, +1 planet
0204  X8A6154-1      Ni                   311  F9 V         lgt.yellow main seq. prim., binary system, 1 s.GG, min.orbit 0, hab.zone 4, main world orbit 4, +4 planets
0205  X8546A8-0      Ag Ni                922  W4 D         white dwf prim., binary system, 1 s.GG, 1 l.GG, min.orbit 0, hab.zone 4, main world orbit 4, +1 planet
0206  E225335-7      Ni                   622  M0 V         red dwf prim., 2 l.GGs, min.orbit 0, hab.zone 0, main world orbit 0, +1 planet
0207  X000122-2      Ni De As         A   111  M3 V         red dwf prim., 1 s.GG, min.orbit 0, hab.zone 0, main world orbit 0, +7 planets
0209  C000458-A      Ni De As             821  M3 V         red dwf prim., 1 s.GG, min.orbit 0, hab.zone 0, main world orbit 0, +1 planet
0302  A100866-E      Na De Va             925  M4 V         red dwf prim., 3 s.GGs, 2 l.GGs, min.orbit 0, hab.zone 0, main world orbit 0, +0 planets
0303  E322568-8      Ni Po                411  M5 V         red dwf prim., 1 s.GG, min.orbit 0, hab.zone 0, main world orbit 0, +4 planets
0305  B7B6569-8      Ni                   513  M3 V         red dwf prim., binary system, 1 s.GG, 2 l.GGs, min.orbit 0, hab.zone 0, main world orbit 0, +0 planets
0306  B731344-B  N   Ni Po            A   411  F7 V         lgt.yellow main seq. prim., 1 l.GG, min.orbit 0, hab.zone 4, main world orbit 4, +3 planets
0307  C879335-A      Ni                   811  M9 III       red giant prim., 1 l.GG, min.orbit 6, hab.zone 8, main world orbit 8, +5 planets
0308  E766851-2      Ri                   311  F6 V         lgt.yellow main seq. prim., 1 l.GG, min.orbit 6, hab.zone 6, main world orbit 6, +3 planets
0309  A400400-D  N   Ni De Va             511  M8 V         red dwf prim., binary system, 1 s.GG, min.orbit 6, hab.zone 0, main world orbit 6, +8 planets
0310  E644377-6      Ni                   112  F2 V         lgt.yellow main seq. prim., binary system, 1 s.GG, 1 l.GG, min.orbit 6, hab.zone 5, main world orbit 6, +3 planets
0401  E961332-6      Ni                   611  G5 V         yellow main seq. prim., 1 l.GG, min.orbit 6, hab.zone 4, main world orbit 6, +6 planets
0402  C500464-5      Ni De Va             312  K2 V         orange main seq. prim., binary system, 2 s.GGs, min.orbit 6, hab.zone 4, main world orbit 6, +3 planets
0406  X000011-4      Ni De As             812  M9 V         red dwf prim., 2 s.GGs, min.orbit 6, hab.zone 0, main world orbit 6, +0 planets
0408  C400645-6  S   Na Ni De Va          311  M9 V         red dwf prim., 1 s.GG, min.orbit 6, hab.zone 0, main world orbit 6, +5 planets
0409  E200363-4      Ni De Va             411  M0 V         red dwf prim., binary system, 1 l.GG, min.orbit 6, hab.zone 0, main world orbit 6, +2 planets
0410  C354446-6      Ni                   432  F4 V         lgt.yellow main seq. prim., 2 s.GGs, min.orbit 6, hab.zone 6, main world orbit 6, +0 planets
0501  X300000-4      Ni De Va             131  F1 V         lgt.yellow main seq. prim., binary system, 1 l.GG, min.orbit 6, hab.zone 5, main world orbit 6, +3 planets
0502  X310000-1      Ni De            A   811  M0 V         red dwf prim., 1 l.GG, min.orbit 6, hab.zone 0, main world orbit 6, +6 planets
0503  X600024-1      Ni De Va             311  M5 V         red dwf prim., binary system, 1 l.GG, min.orbit 6, hab.zone 0, main world orbit 6, +2 planets
0504  X710045-0      Ni De                513  W8 D         white dwf prim., binary system, 2 s.GGs, 1 l.GG, min.orbit 6, hab.zone 0, main world orbit 6, +4 planets
0505  C100333-7      Ni De Va             911  M1 V         red dwf prim., binary system, 1 l.GG, min.orbit 6, hab.zone 0, main world orbit 6, +7 planets
0506  X400023-2      Ni De Va         A   412  G4 V         yellow main seq. prim., binary system, 2 l.GGs, min.orbit 6, hab.zone 2, main world orbit 6, +6 planets
0507  C764643-8      Ag Ni Ri             912  M0 V         red dwf prim., binary system, 2 l.GGs, min.orbit 6, hab.zone 0, main world orbit 6, +0 planets
0508  X200046-4      Ni De Va             111  M7 V         red dwf prim., 1 l.GG, min.orbit 6, hab.zone 0, main world orbit 6, +6 planets
0509  X120001-1      Ni Po De             812  M0 V         red dwf prim., binary system, 2 l.GGs, min.orbit 6, hab.zone 0, main world orbit 6, +4 planets
0510  B600578-7  S   Ni De Va             332  F3 V         lgt.yellow main seq. prim., 1 s.GG, 1 l.GG, min.orbit 6, hab.zone 5, main world orbit 6, +4 planets
0601  E764688-4      Ag Ni Ri             114  M3 V         red dwf prim., 1 s.GG, 3 l.GGs, min.orbit 6, hab.zone 0, main world orbit 6, +1 planet
0602  X210155-3      Ni De                612  G4 V         yellow main seq. prim., 2 l.GGs, min.orbit 6, hab.zone 2, main world orbit 6, +3 planets
0604  X764320-0      Ni                   411  F0 V         lgt.yellow main seq. prim., 1 s.GG, min.orbit 6, hab.zone 4, main world orbit 6, +6 planets
0605  C300310-B      Ni De Va             122  M1 V         red dwf prim., 1 s.GG, 1 l.GG, min.orbit 6, hab.zone 0, main world orbit 6, +1 planet
0606  B667565-A  S   Ag Ni                922  K8 II        orange br. giant prim., 1 s.GG, 1 l.GG, min.orbit 5, hab.zone 7, main world orbit 7, +0 planets
0607  E253300-6      Ni Po                422  A8 V         white main seq. prim., binary system, 1 s.GG, 1 l.GG, min.orbit 5, hab.zone 6, main world orbit 6, +1 planet
0608  X300005-3      Ni De Va             112  M9 V         red dwf prim., 1 s.GG, 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +1 planet
0703  C000659-B      Na Ni De As          823  M0 V         red dwf prim., 3 l.GGs, min.orbit 5, hab.zone 0, main world orbit 5, +0 planets
0704  X200012-0      Ni De Va         A   223  M2 V         red dwf prim., 1 s.GG, 2 l.GGs, min.orbit 5, hab.zone 0, main world orbit 5, +4 planets
0705  C320346-6      Ni Po De             712  M2 V         red dwf prim., 1 s.GG, 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +3 planets
0706  X400000-2      Ni De Va             112  M7 V         red dwf prim., 1 s.GG, 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +6 planets
0708  B520650-B      Na Ni Po De          812  F1 V         lgt.yellow main seq. prim., trinary system, 2 s.GGs, min.orbit 5, hab.zone 6, main world orbit 6, +6 planets
0710  C653259-A  S   Ni Po                812  K9 V         orange main seq. prim., binary system, 2 l.GGs, min.orbit 5, hab.zone 3, main world orbit 5, +5 planets
0801  A59C673-8      Ni Wa            A   222  F8 V         lgt.yellow main seq. prim., binary system, 2 s.GGs, min.orbit 5, hab.zone 6, main world orbit 6, +0 planets
0802  D000442-8  S   Ni De As             722  W7 D         white dwf prim., 2 s.GGs, min.orbit 5, hab.zone 6, main world orbit 6, +3 planets
0804  X500100-3      Ni De Va             721  M1 V         red dwf prim., 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +0 planets
0806  D75178B-5      Po                   321  G0 V         yellow main seq. prim., 1 l.GG, min.orbit 5, hab.zone 2, main world orbit 5, +1 planet
0808  X300000-5      Ni De Va             821  M7 V         red dwf prim., binary system, 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +5 planets
0809  C510232-9      Ni De                521  M3 V         red dwf prim., 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +2 planets
0810  X230012-0      Ni Po De             114  M8 V         red dwf prim., binary system, 3 s.GGs, 1 l.GG, min.orbit 5, hab.zone 0, main world orbit 5, +2 planets
Off-hand, I would have to say that the 75% occurence rate of the red dwarfs (V M) are seriously messing up the T20 system generation system.  The move to a 50% occurence rate was a guess based on what I eyeballed from LLB6.
Comments?